Soliton Solutions and Conservation Laws of a (3+1)-Dimensional Nonlinear Evolution Equation |
| M. Ekicia, A. Sonmezoglua, A. Rashid Ademb, Qin Zhouc, Zitong Luand, Sha Liue, M. Mirzazadehf, Wenjun Liug
aDepartment of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey bDepartment of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, Republic of South Africa cSchool of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, People's Republic of China dSchool of Economics and Management, Beijing University of Posts and Telecommunications, Beijing 100876, PR China eWuhan University Library, Wuhan 430072, People's Republic of China fDepartment of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, PC 44891-63157 Rudsar-Vajargah, Iran gState Key Laboratory of Information Photonics and Optical Communications, and School of Science, P.O. Box 122, Beijing University of Posts and Telecommunications, Beijing 100876, People's Republic of China |
| Received: November 14, 2018; in final form January 17, 2019 |
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| This work studies a new (3+1)-dimensional nonlinear model, which was introduced by Abdul-Majid Wazwaz in 2014. This new physical model describes the shallow-water waves and short waves in nonlinear dispersive models. Analytical traveling wave solutions including the solitons and plane wave solutions are derived by using the G'/G-expansion technique. Moreover, the conserved quantities of this model are also given. |
DOI:10.12693/APhysPolA.135.539 topics: solitons, conservation laws, extended G'/G-expansion scheme |