Bright, dark, periodic soliton solutions and other analytical solutions of a time-dependent coefficient (2 + 1)-dimensional Zakharov–Kuznetsov equation

被引：0

作者：

C. Mabenga

B. Muatjetjeja

T. G. Motsumi

机构：

[1] University of Botswana,Department of Mathematics, Faculty of Science

[2] North-West University,Department of Mathematical Sciences

来源：

Optical and Quantum Electronics | 2023年 / 55卷

关键词：

Time-dependent coefficient Zakharov–Kuznetsov equation; Bright; Dark; Singular and periodic wave solutions; Lie point symmetries; Conservation laws;

D O I：

暂无

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学科分类号：

摘要：

This paper aims to implement solitary wave ansatz methods to obtain a variety of solitary wave solutions and periodic wave solution of a time-dependent coefficient (2 + 1)-dimensional Zakharov–Kuznetsov (tdcZK) equation. Several remarkable constrains on the parameters for the existence of the solitary wave solutions will be reported. The classical symmetry method will also be employed to derive exact solutions of the tdcZK. Furthermore, we construct conservation laws of the tdcZK via the multiplier method.

引用

共 50 条

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Mabenga, C.
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[J]. OPTICAL AND QUANTUM ELECTRONICS, 2023, 55 (12)
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