Analytical traveling wave and soliton solutions of the generalized nonautonomous nonlinear Schrodinger equation with an external potential

被引：6
|
作者：
Jin, H. Q. [1 ,2 ]
He, J. R. [1 ]
Cai, Z. B. [3 ]
Liang, J. C. [4 ]
Yi, L. [1 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Phys, Wuhan 430074, Peoples R China
[2] Hubei Univ Educ, Sch Phys & Elect Infomat, Wuhan 430205, Peoples R China
[3] Air Force Early Warning Acad, Dept Sci Res, Wuhan 430019, Peoples R China
[4] Huizhou Univ, Dept Elect Sci, Huizhou 516001, Guangdong, Peoples R China
来源：
INDIAN JOURNAL OF PHYSICS | 2013年 / 87卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Generalized nonautonomous nonlinear Schrodinger equation; Traveling wave; Soliton solution; BIREFRINGENT FIBERS; OPTICAL SOLITONS; SYSTEMS; ARRAYS; BRIGHT; WELL;
D O I：
10.1007/s12648-013-0367-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A class of analytical traveling wave and soliton solutions to generalized nonautonomous nonlinear Schrodinger equation with an external potential are constructed by using homogeneous balance principle and F-expansion technique. Constraint conditions for analytical solutions are obtained at the same time which admit different types of external potentials. Various types of analytical traveling waves and soliton solutions are studied in detail. Stability analysis of the solutions is discussed numerically. Results show that stable propagation of solitons can be maintained in nonuniform distributed nonlinear media.
引用
收藏
页码：1243 / 1250
页数：8
相关论文
共 50 条
  • [21] BIFURCATIONS OF TRAVELING WAVE SOLUTIONS AND EXACT SOLUTIONS FOR THE GENERALIZED SCHRODINGER EQUATION
    Zhang, Jianming
    Li, Shuming
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2011, 21 (09): : 2623 - 2628
  • [22] Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation
    Lin, Yuanhua
    He, Liping
    ADVANCES IN MATHEMATICAL PHYSICS, 2022, 2022
  • [23] Traveling wave and soliton solutions of coupled nonlinear Schrodinger equations with harmonic potential and variable coefficients
    Zhong, Wei-Ping
    Belic, Milivoj
    PHYSICAL REVIEW E, 2010, 82 (04):
  • [24] Darboux transformation of a new generalized nonlinear Schrodinger equation: soliton solutions, breather solutions, and rogue wave solutions
    Tang, Yaning
    He, Chunhua
    Zhou, Meiling
    NONLINEAR DYNAMICS, 2018, 92 (04) : 2023 - 2036
  • [25] Bifurcation of traveling wave solutions of the perturbed nonlinear Schrodinger equation
    Cheng, Yonghui
    Song, Ming
    PHYSICA SCRIPTA, 2023, 98 (09)
  • [26] Exact spatiotemporal wave and soliton solutions to the generalized (3+1)-dimensional nonlinear Schrodinger equation with linear potential
    Petrovic, Nikola Z.
    Zahreddine, Hussein
    Belic, Milivoj R.
    PHYSICA SCRIPTA, 2011, 83 (06)
  • [27] The nonautonomous N-soliton solutions for coupled nonlinear Schrodinger equation with arbitrary time-dependent potential
    Wang, Xiao-Min
    Zhang, Ling-Ling
    NONLINEAR DYNAMICS, 2017, 88 (03) : 2291 - 2302
  • [28] New bright and dark soliton solutions for a generalized nonlinear Schrodinger equation
    Kader, A. H. Abdel
    Latif, M. S. Abdel
    OPTIK, 2019, 176 : 699 - 703
  • [29] Rogue wave solutions for a generalized nonautonomous nonlinear equation in a nonlinear inhomogeneous fiber
    Xie, Xi-Yang
    Tian, Bo
    Wang, Yu-Feng
    Sun, Ya
    Jiang, Yan
    ANNALS OF PHYSICS, 2015, 362 : 884 - 892
  • [30] Higher-order rogue wave-like solutions for a nonautonomous nonlinear Schrodinger equation with external potentials
    Liu, Lei
    Tian, Bo
    Wu, Xiao-Yu
    Sun, Yan
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 492 : 524 - 533
12345