{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T04:27:39Z","timestamp":1774931259168,"version":"3.50.1"},"reference-count":53,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2023,9,21]],"date-time":"2023-09-21T00:00:00Z","timestamp":1695254400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11602162"],"award-info":[{"award-number":["11602162"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11775156"],"award-info":[{"award-number":["11775156"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The effects of nonextensive electrons on nonlinear ion acoustic waves in dusty negative ion plasmas with ion\u2013dust collisions are investigated. Analytical results show that both solitary and shock waves are supported in this system. The wave propagation is governed by a Korteweg\u2013de Vries Burgers-type equation. The coefficients of this equation are modified by the nonextensive parameter q. Numerical calculations indicate that the amplitude of solitary wave and oscillatory shock can be obviously modified by the nonextensive electrons, but the monotonic shock is little affected.<\/jats:p>","DOI":"10.3390\/e25091363","type":"journal-article","created":{"date-parts":[[2023,9,21]],"date-time":"2023-09-21T04:53:05Z","timestamp":1695271985000},"page":"1363","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Effects of Nonextensive Electrons on Dust\u2013Ion Acoustic Waves in a Collisional Dusty Plasma with Negative Ions"],"prefix":"10.3390","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0009-0005-7854-9284","authenticated-orcid":false,"given":"Zhipeng","family":"Liu","sequence":"first","affiliation":[{"name":"School of Science, Tianjin Chengjian University, Tianjin 300384, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,9,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"032103","DOI":"10.1063\/1.5087293","article-title":"Temperature effects on the propagation and Landau damping of the dust surface waves","volume":"26","author":"Lee","year":"2019","journal-title":"Phys. Plasmas"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"e202200102","DOI":"10.1002\/ctpp.202200102","article-title":"Landau damping of ion-acoustic waves with simultaneous effects of non-extensivity and non-thermality in the presence of hybrid Cairns-Tsallis distributed electrons","volume":"63","author":"Bilal","year":"2023","journal-title":"Contrib. Plasma Phys."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"123516","DOI":"10.1063\/5.0068179","article-title":"Simulations of ion heating due to ion-acoustic instabilities in presheaths","volume":"28","author":"Beving","year":"2021","journal-title":"Phys. Plasmas"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Hellinger, P., Tr\u00e1vn\u00ed\u010dek, P., and Menietti, J.D. (2004). Effective collision frequency due to ion-acoustic instability: Theory and simulations. Geophys. Res. Lett., 31.","DOI":"10.1029\/2004GL020028"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"53003","DOI":"10.1209\/0295-5075\/ac6a08","article-title":"Oblique ion-acoustic solitary waves in anisotropic plasma with Tsallis distribution","volume":"138","author":"Khalid","year":"2022","journal-title":"Europhys. Lett."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1140\/epjp\/s13360-023-03897-3","article-title":"Small amplitude ion-acoustic solitary waves in a magnetized ion-beam plasma under the effect of ion and beam temperatures","volume":"138","author":"Madhukalya","year":"2023","journal-title":"Euro. Phys. J. Plus"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"2295","DOI":"10.1063\/1.1693236","article-title":"Ion Acoustic Shock Waves","volume":"13","author":"Biskamp","year":"1970","journal-title":"Phys. Fluids"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1103\/PhysRevLett.25.11","article-title":"Formation and interaction of ion-acoustic solitions","volume":"25","author":"Ikezi","year":"1970","journal-title":"Phys. Rev. Lett."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1088\/0032-1028\/21\/3\/005","article-title":"Ion-acoustic solutions and shock waves in multicomponent plasmas","volume":"21","author":"Das","year":"1979","journal-title":"Plasma Phys."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"508","DOI":"10.1088\/0031-8949\/45\/5\/015","article-title":"Dust ion-acoustic wave","volume":"45","author":"Shukla","year":"1992","journal-title":"Phys. Scr."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1007\/s10509-021-03939-1","article-title":"Solar wind interaction with dusty plasma produces electrostatic instabilities and solitons","volume":"366","author":"Saleem","year":"2021","journal-title":"Astrophys. Space Sci."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"083704","DOI":"10.1063\/5.0013015","article-title":"Nonplanar ion acoustic waves in dusty plasma with two temperature electrons: Application to Saturn\u2019s E ring","volume":"27","author":"Bansal","year":"2020","journal-title":"Phys. Plasmas"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1263","DOI":"10.1111\/j.1365-2966.2012.20702.x","article-title":"Dust growth in the interstellar medium: How do accretion and coagulation interplay?","volume":"422","author":"Hirashita","year":"2012","journal-title":"Mon. Not. R. Astron. Soc."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"e201900005","DOI":"10.1002\/ctpp.201900005","article-title":"Radar studies of ionospheric dusty plasma phenomena","volume":"59","author":"Mann","year":"2019","journal-title":"Contrib. Plasma Phys."},{"key":"ref_15","first-page":"1873859","article-title":"Dusty plasmas: From Saturn\u2019s rings to semiconductor processing devices","volume":"6","author":"Merlino","year":"2021","journal-title":"Adv. Phys. X"},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Long, J.M., and Ou, J. (2022). Dust particle surface potential in fusion plasma with supra-thermal electrons. Phys. Plasmas, 29.","DOI":"10.1063\/5.0091856"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"4217","DOI":"10.1063\/1.1615770","article-title":"Effects of trapped electron temperature, dust charge variations, and grain radius on the existence of the dust-ion-acoustic waves","volume":"10","author":"Moslem","year":"2003","journal-title":"Phys. Plasmas"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1464","DOI":"10.1063\/1.1455631","article-title":"Ion\u2013acoustic waves in dusty plasma with charge fluctuations","volume":"9","author":"Pandey","year":"2002","journal-title":"Phys. Plasmas"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"053705","DOI":"10.1063\/1.3422551","article-title":"Linear and nonlinear quantum dust ion acoustic wave with dust size distribution effect","volume":"17","author":"Behery","year":"2010","journal-title":"Phys. Plasmas"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"123702","DOI":"10.1063\/5.0075125","article-title":"Spatiotemporal evolution of a self-excited dust density wave in a nanodusty plasma under strong Havnes effect","volume":"28","author":"Chutia","year":"2021","journal-title":"Phys. Plasmas"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1007\/s10509-020-03822-5","article-title":"Effects of dust temperature and radiative heat-loss functions on the magnetogravitational instability of viscoelastic dusty plasma","volume":"365","author":"Sharma","year":"2020","journal-title":"Astrophys. Space Sci."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"5336","DOI":"10.1039\/C5SM01125F","article-title":"Discrete Boltzmann modeling of multiphase flows: Hydrodynamic and thermodynamic non-equilibrium effects","volume":"11","author":"Gan","year":"2015","journal-title":"Soft Matter"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"053312","DOI":"10.1103\/PhysRevE.97.053312","article-title":"Discrete Boltzmann trans-scale modeling of high-speed compressible flows","volume":"97","author":"Gan","year":"2018","journal-title":"Phys. Rev. E"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"43602","DOI":"10.1007\/s11467-019-0885-4","article-title":"Nonequilibrium and morphological characterizations of Kelvin\u2013Helmholtz instability in compressible flows","volume":"14","author":"Gan","year":"2019","journal-title":"Front. Phys."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"A8","DOI":"10.1017\/jfm.2022.844","article-title":"Discrete Boltzmann multi-scale modelling of non-equilibrium multiphase flows","volume":"951","author":"Gan","year":"2022","journal-title":"J. Fluid Mech."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"072111","DOI":"10.1063\/1.3176516","article-title":"A nonextensive approach for the instability of current-driven ion-acoustic waves in space plasmas","volume":"16","author":"Liu","year":"2009","journal-title":"Phys. Plasmas"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"123707","DOI":"10.1063\/1.3274459","article-title":"Dust acoustic instability driven by drifting ions and electrons in the dust plasma with Lorentzian kappa distribution","volume":"16","author":"Liu","year":"2009","journal-title":"Phys. Plasmas"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"2532","DOI":"10.1177\/09544062221075943","article-title":"Discrete Boltzmann modeling of plasma shock wave","volume":"237","author":"Liu","year":"2023","journal-title":"Proc. IMechE Part C J. Mech. Eng. Sci."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"2839","DOI":"10.1029\/JA073i009p02839","article-title":"A survey of low-energy electrons in the evening sector of the magnetosphere with OGO 1 and OGO 3","volume":"73","author":"Vasyliunas","year":"1968","journal-title":"J. Geophys. Res."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1023\/A:1020990413487","article-title":"A Nonextensive Entropy Approach to Kappa-Distributions","volume":"282","author":"Leubner","year":"2002","journal-title":"Astrophys. Space Sci."},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Livadiotis, G., and McComas, D.J. (2009). Beyond kappa distributions: Exploiting Tsallis statistical mechanics in space plasmas. J. Geophys. Res. Space Phys., 114.","DOI":"10.1029\/2009JA014352"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"971","DOI":"10.1088\/0004-637X\/714\/1\/971","article-title":"Exploring transitions of space plasmas out of equilibrium","volume":"714","author":"Livadiotis","year":"2010","journal-title":"Astrophys. J."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1088\/0004-637X\/741\/2\/88","article-title":"Invariant kappa distribution in space plasmas out of equilibrium","volume":"741","author":"Livadiotis","year":"2011","journal-title":"Astrophys. J."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1007\/BF01016429","article-title":"Possible generalization of Boltzmann-Gibbs statistics","volume":"52","author":"Tsallis","year":"1988","journal-title":"J. Stat. Phys."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1007\/s10509-006-9199-4","article-title":"What does the nonextensive parameter stand for in self-gravitating systems?","volume":"305","author":"Du","year":"2006","journal-title":"Astrophys. Space Sci."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"455","DOI":"10.3390\/physics2030026","article-title":"Fractal Structures of Yang\u2013Mills Fields and Non-Extensive Statistics: Applications to High Energy Physics","volume":"2","author":"Deppman","year":"2020","journal-title":"Physics"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"126440","DOI":"10.1016\/j.physa.2021.126440","article-title":"Bose\u2013Einstein condensation and non-extensive statistics for finite systems","volume":"585","author":"Gammal","year":"2022","journal-title":"Phys. A"},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"262","DOI":"10.1016\/j.physleta.2004.07.010","article-title":"Nonextensivity in nonequilibrium plasma systems with Coulombian long-range interactions","volume":"329","author":"Du","year":"2004","journal-title":"Phys. Lett. A"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"893","DOI":"10.1209\/epl\/i2004-10145-2","article-title":"The nonextensive parameter and Tsallis distribution for self-gravitating systems","volume":"67","author":"Du","year":"2004","journal-title":"Europhys. Lett."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1007\/s10509-007-9611-8","article-title":"Nonextensivity and the power-law distributions for the systems with self-gravitating long-range interactions","volume":"312","author":"Du","year":"2007","journal-title":"Astrophys. Space Sci."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"60005","DOI":"10.1209\/0295-5075\/116\/60005","article-title":"The nonextensive parameter for the rotating astrophysical systems with power-law distributions","volume":"116","author":"Yu","year":"2017","journal-title":"Europhys. Lett."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"023704","DOI":"10.1063\/1.3682051","article-title":"Dust charging processes in the nonequilibrium dusty plasma with nonextensive power-law distribution","volume":"19","author":"Gong","year":"2012","journal-title":"Phys. Plasmas"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"083706","DOI":"10.1063\/1.4748297","article-title":"Dust-acoustic waves and stability in the permeating dusty plasma. II. Power-law distributions","volume":"19","author":"Gong","year":"2012","journal-title":"Phys. Plasmas"},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"092901","DOI":"10.1063\/1.4820799","article-title":"Transport coefficients in Lorentz plasmas with the power-law kappa-distribution","volume":"20","author":"Du","year":"2013","journal-title":"Phys. Plasmas"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"102305","DOI":"10.1063\/1.4996775","article-title":"The diffusion of charged particles in the weakly ionized plasma with power-law kappa-distributions","volume":"24","author":"Wang","year":"2017","journal-title":"Phys. Plasmas"},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"062309","DOI":"10.1063\/1.5023030","article-title":"The viscosity of charged particles in the weakly ionized plasma with power-law distributions","volume":"25","author":"Wang","year":"2018","journal-title":"Phys. Plasmas"},{"key":"ref_47","doi-asserted-by":"crossref","unstructured":"Nicolaou, G., and Livadiotis, G. (2020). Statistical Uncertainties of Space Plasma Properties Described by Kappa Distributions. Entropy, 22.","DOI":"10.3390\/e22050541"},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"3260","DOI":"10.1103\/PhysRevE.61.3260","article-title":"Plasma oscillations and nonextensive statistics","volume":"61","author":"Lima","year":"2000","journal-title":"Phys. Rev. E"},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1007\/s10509-010-0404-0","article-title":"Arbitrary amplitude electron-acoustic solitary waves in the presence of excess superthermal electrons","volume":"330","author":"Younsi","year":"2010","journal-title":"Astrophys. Space Sci."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"082306","DOI":"10.1063\/1.3620411","article-title":"On a plasma having nonextensive electrons and positrons: Rogue and solitary wave propagation","volume":"18","author":"Moslem","year":"2011","journal-title":"Phys. Plasmas"},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1007\/s10509-012-1208-1","article-title":"Dust ion-acoustic shock waves in nonextensive dusty plasma","volume":"343","author":"Yasmin","year":"2013","journal-title":"Astrophys. Space Sci."},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"056406","DOI":"10.1103\/PhysRevE.86.056406","article-title":"Ion-acoustic solitary waves and shocks in a collisional dusty negative-ion plasma","volume":"86","author":"Misra","year":"2012","journal-title":"Phys. Rev. E"},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"913","DOI":"10.1007\/s12043-009-0158-9","article-title":"Dust acoustic solitary and shock waves in strongly coupled dusty plasmas with nonthermal ions","volume":"73","author":"Pakzad","year":"2009","journal-title":"Pramana"}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/25\/9\/1363\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T20:54:31Z","timestamp":1760129671000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/25\/9\/1363"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,9,21]]},"references-count":53,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2023,9]]}},"alternative-id":["e25091363"],"URL":"https:\/\/doi.org\/10.3390\/e25091363","relation":{},"ISSN":["1099-4300"],"issn-type":[{"value":"1099-4300","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,9,21]]}}}