Symmetry reduction, exact solutions and conservation laws of the Bogoyavlenskii equation-Reference-Cited by-同舟云学术

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Symmetry reduction, exact solutions and conservation laws of the Bogoyavlenskii equation

Published:2019-09-13 Issue:01 Volume:35 Page:1950339
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Wang Zhenli¹,Li Chuan Zhong²,Zhang Lihua³

Affiliation:

1. School of Science, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, P. R. China

2. Department of Mathematics, Ningbo University, Ningbo 315211, Zhejiang, P. R. China

3. School of Mathematical Sciences, Dezhou University, Dezhou 253000, Shandong, P. R. China

Abstract

In this paper, by applying the direct symmetry method, we obtain the symmetry reductions, group invariant solutions and some new exact solutions of the Bogoyavlenskii equation, which include hyperbolic function solutions, trigonometric function solutions and power series solutions. We also give the conservation laws of the Bogoyavlenskii equation.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Shandong Province

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732319503395

Reference21 articles.

1. Exp-function method for nonlinear wave equations

2. Exact solutions for a compound KdV-Burgers equation

3. The extended tanh method for abundant solitary wave solutions of nonlinear wave equations

4. Applications of the Jacobi elliptic function method to special-type nonlinear equations

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