New complex hyperbolic and trigonometric solutions for the generalized conformable fractional Gardner equation

Author:

Rezazadeh Hadi1ORCID,Kumar Dipankar23,Sulaiman Tukur Abdulkadir45,Bulut Hasan46

Affiliation:

1. Faculty of Modern Technologies Engineering, Amol University of Special Modern Technologies, Amol, Iran

2. Graduate School of Systems and Information Engineering, University of Tsukuba, Tennodai 1-1-1, Tsukuba, Ibaraki, Japan

3. Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj-8100, Bangladesh

4. Department of Mathematics, Firat University, Elazig, Turkey

5. Department of Mathematics, Federal University, Dutse, Jigawa, Nigeria

6. Department of Mathematics Education, Final International University, Kyrenia, Cyprus

Abstract

This study focuses on acquiring new complex hyperbolic and trigonometric function solutions to the generalized conformable fractional Gardner equation by using two distinct integration schemes, namely: the modified Kudryashov method and the hyperbolic function method with the help of symbolic computation package. We generate new closed-form solitary wave solutions to the governing model. Implemented schemes are pragmatically effective for solving various types of nonlinear partial differential equations with integer or fractional order arising in various fields of applied sciences.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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