Bounded multi-soliton solutions and their asymptotic analysis for the reversal-time nonlocal nonlinear Schr?dinger equation

被引：0

作者：

Wei-Jing Tang

Zhang-nan Hu

Liming Ling

机构：

[1] DepartmentofMathematics,SouthChinaUniversityofTechnology

来源：

CommunicationsinTheoreticalPhysics | 2021年 / 73卷 / 10期

关键词：

D O I：

暂无

中图分类号：

O175.29 [非线性偏微分方程];

学科分类号：

070104 ;

摘要：

In this paper, we construct the Darboux transformation(DT) for the reverse-time integrable nonlocal nonlinear Schr?dinger equation by loop group method. Then we utilize the DT to derive soliton solutions with zero seed. We investigate the dynamical properties for those solutions and present a sufficient condition for the non-singularity of multi-soliton solutions.Furthermore, the asymptotic analysis of bounded multi-solutions has also been established by the determinant formula.

引用

页码：3 / 15

页数：13

共 50 条

[41] Asymptotic Expansion of Solutions of an Elliptic Equation Related to the Nonlinear Schrödinger Equation [J].

M. Franca ;

R. Johnson .

Journal of Dynamics and Differential Equations, 2003, 15 (2-3) :535-551

[42] On bounded solutions of a nonlinear Schrödinger equation on the half-line [J].

E. M. Mukhamadiev ;

A. N. Naimov .

Differential Equations, 2011, 47 :38-49

[43] Discrete multi-soliton solutions and dynamics for a reverse-time nonlocal nonlinear self-dual network equation [J].

Yuan, Cui-Lian ;

Wen, Xiao-Yong .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, 102

[44] Asymptotic behavior of weakly collapsing solutions of the nonlinear Schrödinger equation [J].

Yu. N. Ovchinnikov ;

V. L. Vereshchagin .

Journal of Experimental and Theoretical Physics Letters, 2001, 74 :72-76

[45] Fundamental soliton solutions of Schr?dinger equation with cosine-oscillation nonlocal nonlinearity [J].

Xue, Li-Mei ;

Liu, Xian-Jun .

OPTIK, 2023, 279

[46] The hierarchy of multi-soliton solutions of the derivative nonlinear Schrodinger equation [J].

Steudel, H .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (07) :1931-1946

[47] A new approach to exact optical soliton solutions for the nonlinear Schrödinger equation [J].

V. F. Morales-Delgado ;

J. F. Gómez-Aguilar ;

Dumitru Baleanu .

The European Physical Journal Plus, 133

[48] N-Soliton Solutions of General Nonlinear Schrdinger Equation with Derivative [J].

ZHAI Wen CHEN DengYuan Department of MathematicsShanghai UniversityShanghai China .

Communications in Theoretical Physics, 2008, 49 (05) :1101-1104

[49] CONSTRUCTION OF NOVEL SOLITON SOLUTIONS FOR THE FRACTIONAL CHIRAL NONLINEAR SCHRÖDINGER EQUATION [J].

Wei, Chun-Fu ;

Wang, Kang-Le .

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2025,

[50] New optical soliton solutions for the variable coefficients nonlinear Schrödinger equation [J].

Yongyi Gu ;

Najva Aminakbari .

Optical and Quantum Electronics, 2022, 54

← 1 2 3 4 5 →