{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,22]],"date-time":"2025-10-22T05:24:03Z","timestamp":1761110643996,"version":"3.37.3"},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"8","license":[{"start":{"date-parts":[[2021,10,30]],"date-time":"2021-10-30T00:00:00Z","timestamp":1635552000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,10,30]],"date-time":"2021-10-30T00:00:00Z","timestamp":1635552000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comp. Appl. Math."],"published-print":{"date-parts":[[2021,12]]},"DOI":"10.1007\/s40314-021-01676-3","type":"journal-article","created":{"date-parts":[[2021,10,30]],"date-time":"2021-10-30T15:09:48Z","timestamp":1635606588000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["Numerical soliton solutions of fractional Newell\u2013Whitehead\u2013Segel equation in binary fluid mixtures"],"prefix":"10.1007","volume":"40","author":[{"given":"B","family":"Sagar","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2064-7050","authenticated-orcid":false,"given":"S. Saha","family":"Ray","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,10,30]]},"reference":[{"key":"1676_CR1","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1007\/s40819-015-0049-3","volume":"2","author":"T Bakkyaraj","year":"2016","unstructured":"Bakkyaraj T, Sahadevan R (2016) Approximate analytical solution of two coupled time fractional nonlinear Schr\u00f6dinger equations. Int J Appl Comput Math 2:113\u2013135","journal-title":"Int J Appl Comput Math"},{"issue":"5","key":"1676_CR2","doi-asserted-by":"publisher","first-page":"601","DOI":"10.1142\/S0129183103004760","volume":"14","author":"Y Chen","year":"2003","unstructured":"Chen Y (2003) Generalized extended Tanh-function method to construct new explicit exact solutions for the approximate equations for long water waves. Int J Mod Phys C 14(5):601\u2013611","journal-title":"Int J Mod Phys C"},{"key":"1676_CR3","doi-asserted-by":"publisher","first-page":"50","DOI":"10.1007\/s40819-019-0635-x","volume":"5","author":"A Golbabai","year":"2019","unstructured":"Golbabai A, Nikan O, Nikazad T (2019) Numerical investigation of the time fractional mobile-immobile advection\u2013dispersion model arising from solute transport in porous media. Int J Appl Comput Math 5:50","journal-title":"Int J Appl Comput Math"},{"key":"1676_CR4","first-page":"1","volume":"298","author":"AK Gupta","year":"2017","unstructured":"Gupta AK, Saha Ray S (2017) On the solitary wave solution of fractional Kudryashov\u2013Sinelshchikov equation describing nonlinear wave processes in a liquid containing gas bubbles. Appl Math Comput 298:1\u201312","journal-title":"Appl Math Comput"},{"key":"1676_CR5","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1016\/j.enganabound.2013.10.009","volume":"38","author":"VR Hosseini","year":"2014","unstructured":"Hosseini VR, Chen W, Avazzadeh Z (2014) Numerical solution of fractional telegraph equation by using radial basis functions. Eng Anal Bound Elem 38:31\u201339","journal-title":"Eng Anal Bound Elem"},{"issue":"8\u20139","key":"1676_CR6","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1016\/0898-1221(90)90271-K","volume":"19","author":"EJ Kansa","year":"1990","unstructured":"Kansa EJ (1990) Multiquadrics\u2014a scattered data approximation scheme with applications to computational fluid-dynamics-II solutions to parabolic, hyperbolic and elliptic partial differential equations. Comput Math Appl 19(8\u20139):147\u2013161","journal-title":"Comput Math Appl"},{"issue":"8","key":"1676_CR7","doi-asserted-by":"publisher","first-page":"081004","DOI":"10.1115\/1.4040411","volume":"13","author":"A Korkmaz","year":"2018","unstructured":"Korkmaz A (2018) Complex wave solutions to mathematical biology models I: Newell\u2013Whitehead\u2013Segel and Zeldovich equations. J Comput Nonlinear Dyn 13(8):081004","journal-title":"J Comput Nonlinear Dyn"},{"issue":"2","key":"1676_CR8","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1515\/nleng-2015-0032","volume":"5","author":"D Kumar","year":"2016","unstructured":"Kumar D, Sharma RP (2016) Numerical approximation of Newell\u2013Whitehead\u2013Segel equation of fractional order. Nonlinear Eng 5(2):81\u201386","journal-title":"Nonlinear Eng"},{"issue":"8","key":"1676_CR9","first-page":"1400","volume":"5","author":"SS Nourazar","year":"2011","unstructured":"Nourazar SS, Soori M, Nazari-Golshan A (2011) On the exact solution of Newell\u2013Whitehead\u2013Segel equation using the Homotopy perturbation method. Aust J Basic Appl Sci 5(8):1400\u20131411","journal-title":"Aust J Basic Appl Sci"},{"issue":"3","key":"1676_CR10","first-page":"738","volume":"6","author":"A Prakash","year":"2016","unstructured":"Prakash A, Kumar M (2016) He\u2019s variational iteration method for the solution of nonlinear Newell\u2013Whitehead\u2013Segel equation. J Appl Anal Comput 6(3):738\u2013748","journal-title":"J Appl Anal Comput"},{"issue":"4","key":"1676_CR11","doi-asserted-by":"publisher","first-page":"040204","DOI":"10.1088\/1674-1056\/25\/4\/040204","volume":"25","author":"Ray S Saha","year":"2016","unstructured":"Saha Ray S (2016) New analytical exact solutions of time fractional KdV-KZK equation by Kudryashov methods. Chin. Phys. B 25(4):040204","journal-title":"Chin. Phys. B"},{"key":"1676_CR12","doi-asserted-by":"publisher","DOI":"10.1007\/978-981-15-1656-6","volume-title":"Nonlinear differential equations in physics","author":"Ray S Saha","year":"2020","unstructured":"Saha Ray S (2020) Nonlinear differential equations in physics. Springer, Singapore"},{"issue":"1","key":"1676_CR13","doi-asserted-by":"publisher","first-page":"25","DOI":"10.1088\/0253-6102\/63\/1\/05","volume":"63","author":"Ray S Saha","year":"2015","unstructured":"Saha Ray S, Sahoo S (2015) New exact solutions of fractional Zakharov\u2013Kuznetsov and modified Zakharov\u2013Kuznetsov equations using fractional sub-equation method. Commun. Theor. Phys. 63(1):25\u201330","journal-title":"Commun. Theor. Phys."},{"key":"1676_CR14","first-page":"544","volume":"182","author":"Ray S Saha","year":"2006","unstructured":"Saha Ray S, Chaudhuri KS, Bera RK (2006) Analytical approximate solution of nonlinear dynamic system containing fractional derivative by modified decomposition method. Appl Math Comput 182:544\u2013552","journal-title":"Appl Math Comput"},{"key":"1676_CR15","doi-asserted-by":"publisher","first-page":"2214","DOI":"10.1007\/s10910-013-0210-3","volume":"51","author":"Ray S Saha","year":"2013","unstructured":"Saha Ray S (2013) Soliton solutions for time fractional coupled modified KdV equations using new coupled fractional reduced differential transform method. J Math Chem 51:2214\u20132229","journal-title":"J Math Chem"},{"key":"1676_CR16","doi-asserted-by":"publisher","first-page":"2423","DOI":"10.1007\/s40819-016-0246-8","volume":"3","author":"FA Shah","year":"2017","unstructured":"Shah FA, Abass R, Debnath L (2017) Numerical solution of fractional differential equations using Haar wavelet operational matrix method. Int J Appl Comput Math 3:2423\u20132445","journal-title":"Int J Appl Comput Math"},{"issue":"2","key":"1676_CR17","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1016\/j.apnum.2005.03.003","volume":"56","author":"Z Sun","year":"2006","unstructured":"Sun Z, Wu X (2006) A fully discrete difference scheme for a diffusion-wave system. Appl Numer Math 56(2):193\u2013209","journal-title":"Appl Numer Math"},{"key":"1676_CR18","doi-asserted-by":"publisher","first-page":"106","DOI":"10.1007\/s40819-018-0538-2","volume":"4","author":"MI Syam","year":"2018","unstructured":"Syam MI (2018) Analytical solution of the fractional initial Emden\u2013Fowler equation using the fractional residual power series method. Int J Appl Comput Math 4:106","journal-title":"Int J Appl Comput Math"},{"key":"1676_CR19","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-14003-7","volume-title":"Fractional dynamics","author":"VE Tarasov","year":"2010","unstructured":"Tarasov VE (2010) Fractional dynamics. Higher Education Press, Springer, Berlin"},{"key":"1676_CR20","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1007\/s40819-020-00884-5","volume":"6","author":"A Zafar","year":"2020","unstructured":"Zafar A, Khalid B, Fahand A, Rezazadeh H, Bekir A (2020) Analytical behaviour of travelling wave solutions to the Van der Waals model. Int J Appl Comput Math 6:131","journal-title":"Int J Appl Comput Math"},{"issue":"5","key":"1676_CR21","doi-asserted-by":"publisher","first-page":"623","DOI":"10.1088\/0253-6102\/58\/5\/02","volume":"58","author":"B Zheng","year":"2012","unstructured":"Zheng B (2012) $$(G^{\\prime }\/G)$$-expansion method for solving fractional partial differential equations in the theory of mathematical physics. Commun Theor Phys 58(5):623\u2013630","journal-title":"Commun Theor Phys"}],"container-title":["Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-021-01676-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s40314-021-01676-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-021-01676-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,12,3]],"date-time":"2021-12-03T13:21:40Z","timestamp":1638537700000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s40314-021-01676-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,10,30]]},"references-count":21,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2021,12]]}},"alternative-id":["1676"],"URL":"https:\/\/doi.org\/10.1007\/s40314-021-01676-3","relation":{},"ISSN":["2238-3603","1807-0302"],"issn-type":[{"type":"print","value":"2238-3603"},{"type":"electronic","value":"1807-0302"}],"subject":[],"published":{"date-parts":[[2021,10,30]]},"assertion":[{"value":"10 September 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 October 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 October 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 October 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"290"}}