Solitary waves of coupled nonlinear Schrodinger equations: a generalized method

被引：20

作者：

Hosseini, K. ^{[1
]}

Hincal, E. ^{[1
]}

Obi, O. A. ^{[1
]}

Mirzazadeh, M. ^{[2
]}

机构：

[1] Near East Univ, Dept Math, TRNC, Mersin 10, TR-99138 Nicosia, Turkiye

[2] Univ Guilan, Fac Technol & Engn, Dept Engn Sci, East Guilan, Rudsar Vajargah 4489163157, Iran

来源：

OPTICAL AND QUANTUM ELECTRONICS | 2023年 / 55卷 / 07期

关键词：

Coupled nonlinear Schrodinger equations; Generalized method; Solitary waves; Dynamical characteristics; PORSEZIAN-DANIEL MODEL; OPTICAL SOLITONS; LAW;

D O I：

10.1007/s11082-023-04774-0

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In the present paper, the coupled nonlinear Schrodinger (CNLS) equations satisfying the Painleve property are considered, and as a result, their solitary waves are formally derived using a generalized method based on the technique of variable transformation. Furthermore, by employing case studies, the influence of different parameter regimes on the dynamical characteristics of bright and dark solitary waves is investigated. Results are meaningful because of giving ways to effectively control the amplitude of solitary waves.

引用

页数：9

共 50 条

[1] Stability of solitary waves for coupled nonlinear Schrodinger equations
Ohta, M
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 26 (05) : 933 - 939
[2] Classification of the solitary waves in coupled nonlinear Schrodinger equations
Yang, JK
PHYSICA D, 1997, 108 (1-2): : 92 - 112
[3] Solitary waves for N coupled nonlinear Schrodinger equations
Hioe, FT
PHYSICAL REVIEW LETTERS, 1999, 82 (06) : 1152 - 1155
[4] Solitary Waves for N Coupled Nonlinear Schrodinger Equations
Department of Physics, St. John Fisher College, Rochester, NY 14618, United States
Phys Rev Lett, 6 (1152-1155):
[5] Solitary waves of coupled nonlinear Schrödinger equations: a generalized method
K. Hosseini
E. Hincal
O. A. Obi
M. Mirzazadeh
Optical and Quantum Electronics, 2023, 55
[6] Implicit Solitary Waves for One of the Generalized Nonlinear Schrodinger Equations
Kudryashov, Nikolay A.
MATHEMATICS, 2021, 9 (23)
[7] Solitary waves for two and three coupled nonlinear Schrodinger equations
Hioe, FT
PHYSICAL REVIEW E, 1998, 58 (05): : 6700 - 6707
[8] Solitary waves for two and three coupled nonlinear Schrodinger equations
Phys Rev E., 5-B (6700):
[9] Stability and evolution of solitary waves in perturbed generalized nonlinear Schrodinger equations
Yang, JK
Kaup, DJ
SIAM JOURNAL ON APPLIED MATHEMATICS, 2000, 60 (03) : 967 - 989
[10] Solitary Waves for Linearly Coupled Nonlinear Schrodinger Equations with Inhomogeneous Coefficients
Belmonte-Beitia, Juan
Perez-Garcia, Victor M.
Torres, Pedro J.
JOURNAL OF NONLINEAR SCIENCE, 2009, 19 (04) : 437 - 451

← 1 2 3 4 5 →