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Solitary Wave and Quasi-Periodic Wave Solutions to a (3+1)-Dimensional Generalized Calogero-Bogoyavlenskii-Schiff Equation

Solitary Wave and Quasi-Periodic Wave Solutions to a (3+1)-Dimensional Generalized Calogero-Bogoyavlenskii-Schiff Equation
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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.

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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.

Author Details

Chun-Yan Qin

Shou-Fu Tian

Li Zou

Wen-Xiu Ma

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