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Soliton Solutions for Some Nonlinear Partial Differential Equations in Mathematical Physics Using He’s Variational Method
Journal of Nonlinear, Complex and Data Science ( IF 1.5 ) Pub Date : 2020-04-26 , DOI: 10.1515/ijnsns-2018-0188
Mohammed K. Elboree 1
Affiliation  

Abstract In this paper, we constructed the variational principles for Bogoyavlensky–Konopelchenko equation, the generalized (3+1)-dimensional nonlinear wave in liquid containing gas bubbles and a new coupled Kadomtsev–Petviashvili (KP) equation via He’s semi-inverse method. Based on this formulation, we obtained the solitary wave solutions via Ritz method. We explained the properties of the soliton waves numerically by some figures. Finally, the physical interpretation for these solutions are obtained.

中文翻译:

数学物理中一些非线性偏微分方程的孤子解用他的变分法

摘要 在本文中,我们通过 He 的半逆方法构造了 Bogoyavlensky-Konopelchenko 方程的变分原理、含气泡液体中的广义 (3+1) 维非线性波和一个新的耦合 Kadomtsev-Petviashvili (KP) 方程。基于此公式,我们通过 Ritz 方法获得了孤立波解。我们通过一些数字以数值方式解释了孤子波的特性。最后,获得这些解的物理解释。
更新日期:2020-04-26
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