Initial Value Problem for the Pair Transition Coupled Nonlinear Schrodinger Equations via the Riemann-Hilbert Method

被引：22

作者：

Peng, Wei-Qi ^{[1
,2
]}

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

Zhang, Tian-Tian ^{[1
,2
]}

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

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2020年 / 14卷 / 03期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Riemann-Hilbert problem; Pair transition coupled nonlinear Schrodinger equations; Soliton solution; BOUNDARY VALUE-PROBLEMS; DE-VRIES EQUATION; SOLITON-SOLUTIONS; DARBOUX TRANSFORMATION; EVOLUTION-EQUATIONS; WAVES;

D O I：

10.1007/s11785-020-00997-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, the matrix Riemann-Hilbert problem of the pair transition coupled nonlinear Schrodinger (ptcNLS) equations is presented in the complex zeta-plane. According to the unique solution of the resulting Riemann-Hilbert problem, the formal soliton solution to the initial value problem of the ptcNLS equations is derived ultimately.

引用

页数：15

共 37 条

[1]

Ablowitz M.J., 2003, COMPLEX ANAL INTRO A

[2]

ABLOWITZ MJ, 1974, STUD APPL MATH, V53, P249

[3] NONLINEAR-EVOLUTION EQUATIONS OF PHYSICAL SIGNIFICANCE [J].