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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
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
-
New non-traveling wave solutions for (3+1)-dimensional variable coefficients Date-Jimbo-Kashiwara-Miwa equation
Xu, Yuanqing | Zheng, Xiaoxiao | Xin, JieAIMS Mathematics, Vol. 6 (2021), Iss. 3 P.2996
https://doi.org/10.3934/math.2021182 [Citations: 3] -
New non-traveling wave solutions for the (2+1)-dimensional variable coefficients Date-Jimbo-Kashiwara-Miwa equation
Xu, Yuanqing | Zheng, Xiaoxiao | Xin, JieChaos, Solitons & Fractals, Vol. 155 (2022), Iss. P.111661
https://doi.org/10.1016/j.chaos.2021.111661 [Citations: 4] -
Abundant explicit non-traveling wave solutions for the (2+1)-dimensional breaking soliton equation
Shang, Yadong
Applied Mathematics Letters, Vol. 131 (2022), Iss. P.108029
https://doi.org/10.1016/j.aml.2022.108029 [Citations: 7] -
ABUNDANT NEW NON-TRAVELING WAVE SOLUTIONS FOR THE (3+1)-DIMENSIONAL BOITI-LEON-MANNA-PEMPINELLI EQUATION
Xu, Yuanqing | Zheng, Xiaoxiao | Xin, JieJournal of Applied Analysis & Computation, Vol. 11 (2021), Iss. 4 P.2052
https://doi.org/10.11948/20200314 [Citations: 1] -
Abundant new non-travelling wave solutions for the (3+1)-dimensional potential-YTSF equation
Lv, Liangbo | Shang, YadongApplied Mathematics Letters, Vol. 107 (2020), Iss. P.106456
https://doi.org/10.1016/j.aml.2020.106456 [Citations: 11]