Solitary wave solutions to Gardner equation using improved tan ( Ω ( Υ ) 2 ) " role="presentation" style="position: relative;"> ( Ω ( Υ ) 2 ) ( Ω ( Υ ) 2 ) \left(\frac{\Omega(\Upsilon)}{2}\right) -expansion method

AIMS Mathematics

article

Ghazala Akram¹  Maasoomah Sadaf¹  Mirfa Dawood¹  Muhammad Abbas²  Dumitru Baleanu³ 

[1] Department of Mathematics, University of the Punjab;Department of Mathematics, University of Sargodha;Department of Mathematics, Cankaya University;Institute of Space Science;Lebanese American University

关键词: exact solutions;    solitary waves;    gardner equation;    exponential solution;    rational function;    solitons;    hyperbolic solution;    improved tan$ \left(\frac{\Omega(\Upsilon)}{2}\right) $-expansion method;   

DOI  :  10.3934/math.2023219

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this study, the improved tan$ \left(\frac{\Omega(\Upsilon)}{2}\right) $-expansion method is used to construct a variety of precise soliton and other solitary wave solutions of the Gardner equation. Gardner equation is extensively utilized in plasma physics, quantum field theory, solid-state physics and fluid dynamics. It is the simplest model for the description of water waves with dual power law nonlinearity. Hyperbolic, exponential, rational and trigonometric traveling wave solutions are obtained. The retrieved solutions include kink solitons, bright solitons, dark-bright solitons and periodic wave solutions. The efficacy of this method is determined by the comparison of the newly obtained results with already reported results.

【 授权许可】

CC BY