Solitary Wave and Quasi-Periodic Wave Solutions to a (3+1)-Dimensional Generalized Calogero-Bogoyavlenskii-Schiff Equation
Year: 2018
Author: Chun-Yan Qin, Shou-Fu Tian, Li Zou, Wen-Xiu Ma
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 4 : pp. 948–977
Abstract
A (3+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation is considered, which can be used to describe many nonlinear phenomena in plasma physics. By virtue of binary Bell polynomials, a bilinear representation of the equation is succinctly presented. Based on its bilinear formalism, we construct soliton solutions and Riemann theta function periodic wave solutions. The relationships between the soliton solutions and the periodic wave solutions are strictly established and the asymptotic behaviors of the Riemann theta function periodic wave solutions are analyzed with a detailed proof.
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.OA-2017-0220
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 4 : pp. 948–977
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 30
Keywords: A (3+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation Bell polynomial solitary wave solution periodic wave solution asymptotic behavior.