Periodic parabola solitons for the nonautonomous KP equation
Exactly Solvable and Integrable Systems
2018-12-14 v1
Abstract
Kadomtsev-Petviashvili (KP) equation, who can describe different models in fluids and plasmas, has drawn investigation for its solitonic solutions with various methods. In this paper, we focus on the periodic parabola solitons for the (2+1) dimensional nonautonomous KP equations where the necessary constraints of the parameters are figured out. With Painleve analysis and Hirota bilinear method, we find that the solution has six undetermined parameters as well as analyze the features of some typical cases of the solutions. Based on the constructed solutions, the conditions of their convergence are also discussed.
Keywords
Cite
@article{arxiv.1812.05321,
title = {Periodic parabola solitons for the nonautonomous KP equation},
author = {Yingyou Ma and Zhiqiang Chen and Xin Yu},
journal= {arXiv preprint arXiv:1812.05321},
year = {2018}
}
Comments
11 pages, 4 figures