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

被引：5

作者：

Tang, Wei-Jing ^{[1
]}

Hu, Zhang-nan ^{[1
]}

Ling, Liming ^{[1
]}

机构：

[1] South China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2021年 / 73卷 / 10期

基金：

中国国家自然科学基金;

关键词：

nonlocal nonlinear Schrodinger equation; multi-soliton solution; singularity; asymptotic analysis; BACKLUND TRANSFORMATION; INVERSE SCATTERING; SOLITONS;

D O I：

10.1088/1572-9494/ac08fb

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we construct the Darboux transformation (DT) for the reverse-time integrable nonlocal nonlinear Schrodinger 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

页数：13

共 50 条

[21] The N-coupled higher-order nonlinear Schrodinger equation: Riemann-Hilbert problem and multi-soliton solutions [J].

Yang, Jin-Jie ;

Tian, Shou-Fu ;

Peng, Wei-Qi ;

Zhang, Tian-Tian .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (05) :2458-2472

[22] Multi-soliton solutions of the generalized variable-coefficient Bogoyavlenskii equation [J].

Zuo, Da-Wei ;

Jia, Hui-Xian .

WAVES IN RANDOM AND COMPLEX MEDIA, 2019, 29 (03) :413-424

[23] New multi-soliton solutions of a (3+1)-dimensional nonlinear evolution equation [J].

Liu, Na ;

Liu, Yansheng .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 71 (08) :1645-1654

[24] Exact Solutions of the Nonlocal Nonlinear Schrodinger Equation with a Perturbation Term [J].

Zuo, Da-Wei .

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2018, 73 (03) :225-228

[25] Multi-soliton and multi-breather solutions of the complex coupled dispersionless equation on time scales [J].

Sang, Xue ;

Zhang, Yong ;

Fang, Yong ;

Dong, Huanhe .

NONLINEAR DYNAMICS, 2025,

[26] Nonstandard bilinearization of PT-invariant nonlocal nonlinear Schrodinger equation: Bright soliton solutions [J].

Stalin, S. ;

Senthilvelan, M. ;

Lakshmanan, M. .

PHYSICS LETTERS A, 2017, 381 (30) :2380-2385

[27] The multi-soliton and multiple-poles soliton solutions for the six-order nonlinear Schrödinger equation [J].

Mengtao Xu ;

Nan Liu ;

Chunxiao Guo .

Nonlinear Dynamics, 2021, 105 :1741-1751

[28] Multi-soliton solutions and a Backlund transformation for a generalized variable-coefficient higher-order nonlinear Schrodinger equation with symbolic computation [J].

Meng, Xiang-Hua ;

Liu, Wen-Jun ;

Zhu, Hong-Wu ;

Zhang, Chun-Yi ;

Tian, Bo .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (01) :97-107

[29] On symmetry preserving and symmetry broken bright, dark and antidark soliton solutions of nonlocal nonlinear Schrodinger equation [J].

Priya, N. Vishnu ;

Senthilvelan, M. ;

Rangarajan, Govindan ;

Lakshmanan, M. .

PHYSICS LETTERS A, 2019, 383 (01) :15-26

[30] Soliton solutions of the nonlinear Schrodinger equation with the dual power law nonlinearity and resonant nonlinear Schrodinger equation and their modulation instability analysis [J].

Ali, Asghar ;

Seadawy, Aly R. ;

Lu, Dianchen .

OPTIK, 2017, 145 :79-88

← 1 2 3 4 5 →