PEAKON, PSEUDO-PEAKON, LOOP, AND PERIODIC CUSP WAVE SOLUTIONS OF A THREE-DIMENSIONAL 3DKP(2, 2) EQUATION WITH NONLINEAR DISPERSION

Autor:	Shengqiang Tang, Haixia Zhao, Lijing Qiao
Rok vydání:	2015
Předmět:	Cusp (singularity) Loop (topology) Nonlinear Sciences::Exactly Solvable and Integrable Systems Bifurcation theory Dynamical systems theory General Mathematics Nonlinear dispersion Mathematical analysis Nonlinear Sciences::Pattern Formation and Solitons Peakon Mathematics
Zdroj:	Journal of Applied Analysis & Computation. 5:301-312
ISSN:	2156-907X
DOI:	10.11948/2015027
Popis:	In this paper, we study the three-dimensional Kadomtsev-Petviashvili equation (3DKP(m, n)) with nonlinear dispersion for m=n=2. By using the bifurcation theory of dynamical systems, we study the dynamical behavior and obtain peakon, pseudo-peakon, loop and periodic cusp wave solutions of the three-dimensional 3DKP(2, 2) equation. The parameter expressions of peakon, pseudo-peakon, loop and periodic cusp wave solutions are obtained and numerical graph are provided for those peakon, pseudo-peakon, loop and periodic cusp wave solutions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1efb19925192ae72ee085f7ca8152e9b https://doi.org/10.11948/2015027 Zobrazit plný text záznamu