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Multiple Soliton Solutions for Nonlinear Differential Equations with a New Version of Extended F-Expansion Method
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences ( IF 0.8 ) Pub Date : 2020-07-18 , DOI: 10.1007/s40010-020-00687-9
Yusuf Pandir , Nail Turhan

In this article, a new version of extended F-expansion method is suggested. A multiple Jacobi elliptic functions are presented in the solution function. We achieve analytical solutions of the (1 + 1)-dimensional dispersive long wave (DLW) equation and (2 + 1)-dimensional Kadomtsev–Petviashvili (KP) equation using the new version of extended F-expansion method. Then, the single and the combined non-degenerative Jacobi elliptic function solutions and their degenerate solutions to the above-mentioned class of nonlinear evolution equations are obtained.



中文翻译:

新型扩展F展开法的非线性微分方程的多重孤子解

在本文中,建议使用新版本的扩展F展开方法。解函数中存在多个Jacobi椭圆函数。我们使用新版本的扩展F展开方法获得了(1 +1)维色散长波(DLW)方程和(2 +1)维Kadomtsev–Petviashvili(KP)方程的解析解。然后,针对上述一类非线性发展方程,获得了单个和组合的非退化Jacobi椭圆函数解及其退化解。

更新日期:2020-07-18
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