Volume 8, Issue 6
New Non-Travelling Wave Solutions of Calogero Equation

Xiaoming Peng, Yadong Shang & Xiaoxiao Zheng

Adv. Appl. Math. Mech., 8 (2016), pp. 1036-1049.

Published online: 2018-05

Preview Full PDF 45 796
Export citation
  • 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 approach, extended homoclinic test approach, non-travelling wave solution.

  • AMS Subject Headings

35C09, 35Q53, 68W30

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{AAMM-8-1036, author = {}, title = {New Non-Travelling Wave Solutions of Calogero Equation}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {8}, number = {6}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2015.m1121}, url = {http://global-sci.org/intro/article_detail/aamm/12130.html} }
TY - JOUR T1 - New Non-Travelling Wave Solutions of Calogero Equation JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 1036 EP - 1049 PY - 2018 DA - 2018/05 SN - 8 DO - http://dor.org/10.4208/aamm.2015.m1121 UR - https://global-sci.org/intro/aamm/12130.html KW - Variable separation approach, extended homoclinic test approach, non-travelling wave solution. AB -

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.

Xiaoming Peng, Yadong Shang & Xiaoxiao Zheng. (2020). New Non-Travelling Wave Solutions of Calogero Equation. Advances in Applied Mathematics and Mechanics. 8 (6). 1036-1049. doi:10.4208/aamm.2015.m1121
Copy to clipboard
The citation has been copied to your clipboard