Abundant solitary wave solutions of Gardner's equation using new φ6-model expansion method

被引：6

作者：

Sadaf, Maasoomah ^{[1
]}

Akram, Ghazala ^{[1
]}

Mariyam, Hajra ^{[1
]}

机构：

[1] Univ Punjab, Dept Math, Lahore 54590, Pakistan

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2022年 / 61卷 / 07期

关键词：

Expansion technique; Nonlinear partial differential equation; Analytical solutions; Solitary waves;

D O I：

10.1016/j.aej.2021.10.047

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The Gardner's equation is the generalization of Kortweg-de Vries equation and modified Kortweg-de Vries equation having real life applications in different fields of science, such as, hydrodynamics, quantum field theory, etc. Moreover, it has applications in fluid mechanics where it explains surface and internal waves. This manuscript addresses application of the new phi(6)-model expansion method to Gardner's equation for getting its solitary wave solutions. Such new results aid in getting noteworthy advances in various disciplines of science and technology. Periodic, kink, anti-kink, bright, dark, w-shaped and singular soliton solutions of the governing equation have been constructed. The proposed method takes into account a variety of closed form solutions using the Jacobi elliptic functions. The graphical illustration of some of the obtained solutions has been presented for a suitable choice of free parameters to depict the dynamic nature of the obtained wave solutions. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.

引用

页码：5253 / 5267

页数：15

共 31 条

[21] Two novel computational techniques for fractional Gardner and Cahn-Hilliard equations [J].