{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,30]],"date-time":"2026-01-30T01:36:56Z","timestamp":1769737016498,"version":"3.49.0"},"publisher-location":"Singapore","reference-count":17,"publisher":"Springer Singapore","isbn-type":[{"value":"9789811668890","type":"print"},{"value":"9789811668906","type":"electronic"}],"license":[{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"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":[],"published-print":{"date-parts":[[2022]]},"DOI":"10.1007\/978-981-16-6890-6_66","type":"book-chapter","created":{"date-parts":[[2022,3,5]],"date-time":"2022-03-05T14:02:28Z","timestamp":1646488948000},"page":"879-889","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Traveling Wave Solutions of Some Coupled Nonlinear Systems by Sine\u2013Cosine Approach"],"prefix":"10.1007","author":[{"given":"Sidheswar","family":"Behera","sequence":"first","affiliation":[]},{"given":"Jasvinder","family":"Singh Virdi","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,3,6]]},"reference":[{"key":"66_CR1","doi-asserted-by":"publisher","unstructured":"Safari M, Ganji DD, Moslemi M (2009) Computers mathematics with applications 58:2091\u20132097. https:\/\/doi.org\/10.1016\/j.camwa.2009.03.043","DOI":"10.1016\/j.camwa.2009.03.043"},{"key":"66_CR2","doi-asserted-by":"publisher","unstructured":"He JH (2004) Variational principles for some non-linear partial differential equations with variable coefficients. Chaos, Solitons Fractals 19:847\u2013851. https:\/\/doi.org\/10.1016\/S0960-0779(03)00265-0","DOI":"10.1016\/S0960-0779(03)00265-0"},{"key":"66_CR3","doi-asserted-by":"publisher","unstructured":"He JH (2000) Variational iteration method for autonomous ordinary differential systems. Appl Math Comput 114:115\u2013123. https:\/\/doi.org\/10.1016\/S0096-3003(99)00104-6","DOI":"10.1016\/S0096-3003(99)00104-6"},{"key":"66_CR4","doi-asserted-by":"publisher","unstructured":"Miah MM, Ali HMS, Akbar MA, Wazwaz AM (2017) Some applications of the $$(\\frac{G^{\\prime }}{G},\\frac{1}{G})$$ -expansion method to find new exact solutions of NLEEs. Eur Phys J Plus 132(252). https:\/\/doi.org\/10.1140\/epjp\/i2017-11571-0","DOI":"10.1140\/epjp\/i2017-11571-0"},{"key":"66_CR5","doi-asserted-by":"publisher","unstructured":"Zayed EME, Abdelaziz MAM (2012) Two-variable the, $$(\\frac{G^{\\prime }}{G},\\frac{1}{G})$$-expansion method for solving the nonlinear KdV-mKdV equation Hindawi publishing corporation, vol 725061, 14 p. https:\/\/doi.org\/10.1155\/2012\/725061","DOI":"10.1155\/2012\/725061"},{"key":"66_CR6","doi-asserted-by":"publisher","unstructured":"Kudryashov NA (2018) Exact solutions and integrability of the duffing\u2014van der pol equation. Eur Phys J Plus 23:471\u2013479. https:\/\/doi.org\/10.1134\/S156035471804007X","DOI":"10.1134\/S156035471804007X"},{"key":"66_CR7","doi-asserted-by":"publisher","unstructured":"Zahrana EM, Khater MMA (2016) Modified extended tanh-function method and its applications to the Bogoyavlenskii equation. Appl Math Modeling 40:1769\u20131775. https:\/\/doi.org\/10.1016\/j.apm.2015.08.018","DOI":"10.1016\/j.apm.2015.08.018"},{"key":"66_CR8","doi-asserted-by":"publisher","unstructured":"El-Wakil SA, Abdou MA (2007) New applications of Adomian decomposition method. Chaos, Solitons Fractals 33:513\u2013522. https:\/\/doi.org\/10.1016\/j.chaos.2005.12.037","DOI":"10.1016\/j.chaos.2005.12.037"},{"key":"66_CR9","doi-asserted-by":"publisher","unstructured":"Bildik N, Konuralp A (2006) The use of variational iteration method, differential transform method and adomian decomposition method for solving different types of nonlinear partial differential equations. Int J Non Sci Num Simltn 7:65\u201370. https:\/\/doi.org\/10.1515\/IJNSNS.2006.7.1.65","DOI":"10.1515\/IJNSNS.2006.7.1.65"},{"key":"66_CR10","doi-asserted-by":"publisher","first-page":"2177","DOI":"10.1016\/j.camwa.2011.07.003","volume":"62","author":"A Jabbari","year":"2011","unstructured":"Jabbari A, Kheiri H, Bekir A (2011) Exact solutions of the coupled Higgs equation and the Maccari system using He\u2019s semi-inverse method and $$(\\frac{G^{\\prime }}{G})$$-expansion method. Comp Math Appl 62:2177\u20132186. https:\/\/doi.org\/10.1016\/j.camwa.2011.07.003","journal-title":"Comp Math Appl"},{"key":"66_CR11","doi-asserted-by":"publisher","unstructured":"Bian C, Pang J, Jin L, Ying X (2010) Solving two fifth order strong nonlinear evolution equations by using the $$(\\frac{G^{\\prime }}{G})$$-expansion method. Comm Non Sci Num Smln 15:2337\u20132343. https:\/\/doi.org\/10.1016\/j.cnsns.2009.10.006","DOI":"10.1016\/j.cnsns.2009.10.006"},{"key":"66_CR12","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.amc.2009.02.009","volume":"212","author":"EME Zayed","year":"2009","unstructured":"Zayed EME, Khaled A (2009) Gepreel, Some applications of the $$(\\frac{G^{\\prime }}{G})$$ -expansion method to non-linear partial differential equations. App Math Compun 212:1\u201313. https:\/\/doi.org\/10.1016\/j.amc.2009.02.009","journal-title":"App Math Compun"},{"key":"66_CR13","doi-asserted-by":"publisher","unstructured":"Cveticanin L (2011) The approximate solving methods for the cubic duffing equation based on the Jacobi elliptic functions. Int J Non Sci Numl Simltn 10:1491\u20131516. https:\/\/doi.org\/10.1515\/IJNSNS.2009.10.11-12.1491","DOI":"10.1515\/IJNSNS.2009.10.11-12.1491"},{"key":"66_CR14","doi-asserted-by":"publisher","first-page":"1126","DOI":"10.1016\/j.chaos.2007.02.004","volume":"38","author":"E Yusufoglu","year":"2008","unstructured":"Yusufoglu E, Bekir A (2008) The tanh and the sine-cosine methods for exact solutions of the MBBM and the Vakhnenko equations. Chaos, Solitons Fractals 38:1126\u20131133. https:\/\/doi.org\/10.1016\/j.chaos.2007.02.004","journal-title":"Chaos, Solitons Fractals"},{"key":"66_CR15","doi-asserted-by":"publisher","unstructured":"Wazaz AM (2004) A sine-cosine method for handling nonlinear wave equations. Math Comput Model 40:499\u2013508. https:\/\/doi.org\/10.1016\/j.mcm.2003.12.010","DOI":"10.1016\/j.mcm.2003.12.010"},{"key":"66_CR16","doi-asserted-by":"publisher","unstructured":"Hafez MG, Alam MN, Akbar MA (2015) Traveling wave solutions for some important coupled nonlinear physical models via the coupled Higgs equation and the Maccari system. J King Saud Univ Sci 27(2):105\u2013112. https:\/\/doi.org\/10.1016\/j.jksus.2014.09.001","DOI":"10.1016\/j.jksus.2014.09.001"},{"key":"66_CR17","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1143\/jpsj.63.377","volume":"63","author":"K Konno","year":"1994","unstructured":"Konno K, Oono H (1994) New coupled integrable dispersionless equations. J Phys Soc Jpn 63:377\u2013378. https:\/\/doi.org\/10.1143\/jpsj.63.377","journal-title":"J Phys Soc Jpn"}],"container-title":["Advances in Intelligent Systems and Computing","Proceedings of the Seventh International Conference on Mathematics and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-981-16-6890-6_66","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,3,5]],"date-time":"2022-03-05T14:10:04Z","timestamp":1646489404000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-981-16-6890-6_66"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022]]},"ISBN":["9789811668890","9789811668906"],"references-count":17,"URL":"https:\/\/doi.org\/10.1007\/978-981-16-6890-6_66","relation":{},"ISSN":["2194-5357","2194-5365"],"issn-type":[{"value":"2194-5357","type":"print"},{"value":"2194-5365","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022]]},"assertion":[{"value":"6 March 2022","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}