Exact solutions of the Rosenau–Hyman equation, coupled KdV system and Burgers–Huxley equation using modified transformed rational function method-Reference-Cited by-同舟云学术

Exact solutions of the Rosenau–Hyman equation, coupled KdV system and Burgers–Huxley equation using modified transformed rational function method

Published:2018-08-27 Issue:24 Volume:32 Page:1850282
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Sun Yong-Li¹²,Ma Wen-Xiu²³,Yu Jian-Ping²⁴,Khalique Chaudry Masood³

Affiliation:

1. Department of Mathematics, Beijing University of Chemical Technology, Beijing 100029, China

2. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA

3. International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa

4. Department of Applied Mathematics, University of Science and Technology Beijing, Beijing 100083, China

Abstract

In this research, we study the exact solutions of the Rosenau–Hyman equation, the coupled KdV system and the Burgers–Huxley equation using modified transformed rational function method. In this paper, the simplest equation is the Bernoulli equation. We are not only obtain the exact solutions of the aforementioned equations and system but also give some geometric descriptions of obtained solutions. All can be illustrated vividly by the given graphs.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984918502822

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