Exact Solutions of Nonlinear Partial Differential Equations Using the Extended Kudryashov Method and Some Properties-Reference-Cited by-同舟云学术

Exact Solutions of Nonlinear Partial Differential Equations Using the Extended Kudryashov Method and Some Properties

Published:2023-11-28 Issue:12 Volume:15 Page:2122
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Zhou Jian¹²,Ju Long¹³,Zhao Shiyin¹²,Zhang Yufeng¹³

Affiliation:

1. School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China

2. College of Mathematics, Suqian University, Suqian 223800, China

3. Jiangsu Center for Applied Mathematics (CUMT), Xuzhou 221116, China

Abstract

In this paper, we consider how to find new exact solutions for nonlinear partial differential equations using the extended Kudryashov method. This method mainly uses the Riccati equation and the Bernoulli equation where there are some underdetermined constant parameters. And we also use the concept of symmetry to study its reduction equation, Lie transformation group, self-adjointness, and conservation laws. This paper mainly studies the Boussinesq class and the shallow water wave equation in (1 + 1) dimensions and tries to find new exact solutions and symmetry properties of them.

Funder

National Natural Science Foundation of China

SuQian Sci&Tech Program

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/12/2122/pdf

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