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New Non-Travelling Wave Solutions of Calogero Equation

Part of: Equations of mathematical physics and other areas of application Algorithms - Computer Science Representations of solutions

Published online by Cambridge University Press:  19 September 2016

Xiaoming Peng ,
Yadong Shang  and
Xiaoxiao Zheng
Xiaoming Peng*
Affiliation:
School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
Yadong Shang*
Affiliation:
School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou 510006, China
Xiaoxiao Zheng*
Affiliation:
School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
*
*Corresponding author. Email:pengxm1987@163.com (X. M. Peng), gzydshang@126.com (Y. D. Shang), xiaoxiaozheng87@163.com (X. X. Zheng)
*Corresponding author. Email:pengxm1987@163.com (X. M. Peng), gzydshang@126.com (Y. D. Shang), xiaoxiaozheng87@163.com (X. X. Zheng)
*Corresponding author. Email:pengxm1987@163.com (X. M. Peng), gzydshang@126.com (Y. D. Shang), xiaoxiaozheng87@163.com (X. X. Zheng)
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Abstract

In this paper, the idea of a combination of variable separation approach and the extended homoclinic test approach is proposed to seek non-travelling wave solutions of Calogero equation. The equation is reduced to some (1+1)-dimensional nonlinear equations by applying the variable separation approach and solves reduced equations with the extended homoclinic test technique. Based on this idea and with the aid of symbolic computation, some new explicit solutions can be obtained.

Keywords

Variable separation approachextended homoclinic test approachnon-travelling wave solution

MSC classification

Secondary: 35C09: Trigonometric solutions 35Q53: KdV-like equations (Korteweg-de Vries) 68W30: Symbolic computation and algebraic computation
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 8 , Issue 6 , December 2016 , pp. 1036 - 1049
Copyright
Copyright © Global-Science Press 2016 

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