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Solitary wave and elliptic function solutions of sinh-Gordon equation and its applications

Dianchen Lu

Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China

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Aly R. Seadawy

Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

E-mail Address: Aly742001@yahoo.com

E-mail Address: Aly@ujs.edu.cn

Corresponding author.

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, and

M. Arshad

Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China

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https://doi.org/10.1142/S0217984919504360Cited by:10 (Source: Crossref)

Abstract

The $sinh$ $sinh$ -Gordon model is an important model in special nonlinear partial differential equations (PDEs) which is arising in solid-state physics, mathematical physics, fluid dynamics, fluid flow, differential geometry, quantum theory, etc. The exact solutions in the type of solitary wave and elliptic functions solutions are created of $sinh$ $sinh$ -Gordon model by employing modified direct algebraic scheme. Moments of a few solutions are also depicted graphically. These solutions helps the physicians and mathematicians to understand the physical phenomena of this model. This technique can be utilized on other models to launch further exclusively novel solutions for other categories of nonlinear PDEs occurring in mathematical Physics.

Keywords:

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