BIFURCATIONS AND EXACT SOLUTIONS OF NONLINEAR SCHRODINGER EQUATION WITH AN ANTI-CUBIC NONLINEARITY

被引：15
|
作者：
Liang, Jianli [1 ]
Li, Jibin [1 ,2 ]
机构：
[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2018年 / 8卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Periodic solution; periodic peakon; compacton solution; bifurcation; homoclinic solution; nonlinear Schrodinger equation with an anti-cubic nonlinearity; SOLITARY WAVES; SOLITONS;
D O I：
10.11948/2018.1194
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
this paper, we consider the nonlinear Schrodinger equation with an anti-cubic nonlinearity. By using the method of dynamical systems, we obtain bifurcations of the phase portraits of the corresponding planar dynamical system under different parameter conditions. Corresponding to different level curves defined by the Hamiltonian, we derive all exact explicit parametric representations of the bounded solutions (including periodic peakon solutions, periodic solutions, homoclinic solutions, heteroclinic solutions and compacton solutions).
引用
收藏
页码：1194 / 1210
页数：17
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