Periodic wave solutions and their limits for the modified KdV-KP equations

Authors
Song, Ming Liu, Zheng Rong Yang, Chen Xi
Citation
Song, Ming et al., Periodic wave solutions and their limits for the modified KdV-KP equations, Acta mathematica Sinica. English series (Print) , 31(6), 2015, pp. 1043-1056
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
31
Issue
6
Year of publication
2015
Pages
1043 - 1056
Database
ACNP
SICI code
Abstract
In this paper, we use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the modified KdV-KP equations. Some explicit periodic wave solutions are obtained. These solutions contain smooth periodic wave solutions and periodic blow-up solutions. Their limits contain solitary wave solutions, periodic wave solutions, kink wave solutions and unbounded solutions.