TY - JOUR
T1 - New Non-Travelling Wave Solutions of Calogero Equation
AU - Peng , Xiaoming
AU - Shang , Yadong
AU - Zheng , Xiaoxiao
JO - Advances in Applied Mathematics and Mechanics
VL - 6
SP - 1036
EP - 1049
PY - 2018
DA - 2018/05
SN - 8
DO - http://doi.org/10.4208/aamm.2015.m1121
UR - https://global-sci.org/intro/article_detail/aamm/12130.html
KW - Variable separation approach, extended homoclinic test approach, non-travelling wave solution.
AB - <p style="text-align: justify;">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.</p>