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

被引：46

作者：

Qin, Chun-Yan ^{[1
,2
]}

Tian, Shou-Fu ^{[1
,2
]}

Zou, Li ^{[3
,4
]}

Ma, Wen-Xiu ^{[5
,6
,7
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China

[2] China Univ Min & Technol, Inst Math Phys, Xuzhou 221116, Jiangsu, Peoples R China

[3] Dalian Univ Technol, Sch Naval Architecture, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China

[4] Collaborat Innovat Ctr Adv Ship & Deep Sea Explor, Shanghai 200240, Peoples R China

[5] Univ S Florida, Dept Math & Stat, 4202 East Fowler Ave, Tampa, FL 33620 USA

[6] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

[7] North West Univ, Int Inst Symmetry Anal & Math Modelling, Dept Math Sci, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa

来源：

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2018年 / 10卷 / 04期

关键词：

A (3+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation; Bell polynomial; solitary wave solution; periodic wave solution; asymptotic behavior; HOMOCLINIC BREATHER WAVES; BOUNDARY VALUE-PROBLEMS; DE-VRIES EQUATION; ROGUE WAVES; BELL POLYNOMIALS; RATIONAL CHARACTERISTICS; DARBOUX TRANSFORMATIONS; EVOLUTION-EQUATIONS; BILINEAR EQUATIONS; SYMMETRIES;

D O I：

10.4208/aamm.OA-2017-0220

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：948 / 977

页数：30

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