New exact solutions to the nonlinear Schrodinger equation with variable coefficients

被引：20
|
作者：
Guo, Qian [1 ]
Liu, Jing [2 ]
机构：
[1] Chengdu Normal Univ, Dept Math, Chengdu 611130, Sichuan, Peoples R China
[2] Officers Coll PAP, Dept Mil, Management Engn Teaching & Res Sect, Chengdu 610213, Sichuan, Peoples R China
来源：
RESULTS IN PHYSICS | 2020年 / 16卷
基金：
中国国家自然科学基金;
关键词：
Nonlinear Schrodinger equation; Variable coefficient; Exact solutions; Dark solitons; BOUNDARY VALUE-PROBLEMS; SOLITONS; STABILITY;
D O I：
10.1016/j.rinp.2019.102857
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper is concerned with the nonlinear Schrodinger equations with variable coefficients. By analyzing the dynamical properties of equilibrium levels to the related Hamiltonian, some new dark solitons, bubble solutions and periodic solutions were obtained in the case that the value of the Hamiltonian is between two equilibrium levels. Furthermore, when the value of the Hamiltonian is 0 and the value of the Hamiltonian takes two equilibrium levels, the dynamical properties and exact solutions for the nonlinear Schrodinger equations with variable coefficients were investigated with the help of the complete discrimination system of polynomial.
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页数：5
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