Initial-Boundary Value Problems for the Coupled Higher-Order Nonlinear Schrodinger Equations on the Half-line

被引：37

作者：

Hu, Bei-bei ^{[1
,2
]}

Xia, Tie-cheng ^{[1
]}

Zhang, Ning ^{[3
]}

Wang, Jin-bo ^{[4
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Chuzhou Univ, Sch Math & Finance, Chuzhou 239000, Anhui, Peoples R China

[3] Shandong Univ Sci & Technol, Dept Basical Courses, Tai An 271019, Shandong, Peoples R China

[4] Sci & Technol Commun Secur Lab, Chengdu 610041, Sichuan, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2018年 / 19卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Riemann-Hilbert problem; CHNLS equations; initial-boundary value problem; unified transform method; SOLITONS; TRANSFORM;

D O I：

10.1515/ijnsns-2017-0080

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this article, we use the unified transform method to analyze the initial-boundary value problem for the coupled higher-order nonlinear Schrodinger equations on the half-line. Suppose that the solution {q(1)(x, t), q(2)(x, t)} exists, we show that it can be expressed in terms of the unique solution of a matrix Riemann-Hilbert problem formulated in the plane of the complex spectral parameter lambda.

引用

页码：83 / 92

页数：10

共 50 条

[1] Initial-Boundary Value Problems for the Coupled Nonlinear Schrodinger Equation on the Half-Line
Geng, Xianguo
Liu, Huan
Zhu, Junyi
[J]. STUDIES IN APPLIED MATHEMATICS, 2015, 135 (03) : 310 - 346
[2] Global weak solutions of an initial-boundary value problem on a half-line for the higher order nonlinear Schrodinger equation
Faminskii, Andrei V.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 533 (02)
[3] A boundary value problem on the half-line for higher-order nonlinear differential equations
Philos, Ch. G.
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2009, 139 : 1017 - 1035
[4] The Riemann-Hilbert Approach to Initial-Boundary Value Problems for Integrable Coherently Coupled Nonlinear Schrodinger Systems on the Half-Line
Hu, Beibei
Xia, Tiecheng
Ma, Wen-Xiu
[J]. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2018, 8 (03) : 531 - 548
[5] Initial-boundary value problems for linear dispersive evolution equations on the half-line
Sung, LY
[J]. FIFTH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND NUMERICAL ASPECTS OF WAVE PROPAGATION, 2000, : 374 - 378
[6] Higher-Order Functional Discontinuous Boundary Value Problems on the Half-Line
Minhos, Feliz
Coxe, Infeliz
[J]. MATHEMATICS, 2021, 9 (05) : 1 - 16
[7] THE INITIAL-BOUNDARY VALUE PROBLEM FOR THE BIHARMONIC SCHRODINGER EQUATION ON THE HALF-LINE
Ozsari, Turker
Yolcu, Nermin
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2019, 18 (06) : 3285 - 3316
[8] Initial-boundary value problem for the two-component nonlinear Schrodinger equation on the half-line
Xu, Jian
[J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2016, 23 (02) : 167 - 189
[9] THE INITIAL BOUNDARY VALUE PROBLEM FOR SOME QUADRATIC NONLINEAR SCHRODINGER EQUATIONS ON THE HALF-LINE
Cavalcante, Marcio
[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS, 2017, 30 (7-8) : 521 - 554
[10] Positive solutions to a higher-order nonlinear delay boundary value problem on the half-line
Philos, Ch. G.
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2009, 41 : 872 - 884

← 1 2 3 4 5 →