New Non-Travelling Wave Solutions of Calogero Equation

New Non-Travelling Wave Solutions of Calogero Equation

Year:    2016

Author:    Xiaoming Peng, Yadong Shang, Xiaoxiao Zheng

Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 6 : pp. 1036–1049

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.2015.m1121

Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 6 : pp. 1036–1049

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Variable separation approach extended homoclinic test approach non-travelling wave solution.

Author Details

Xiaoming Peng

Yadong Shang

Xiaoxiao Zheng