Bifurcation Analysis and Solutions of a Higher-Order Nonlinear Schrodinger Equation

Li Yi; Shan Wen-rui; Shuai Tianping; Rao Ke

首页> 外文期刊>Mathematical Problems in Engineering >Bifurcation Analysis and Solutions of a Higher-Order Nonlinear Schrodinger Equation

【24h】

Bifurcation Analysis and Solutions of a Higher-Order Nonlinear Schrodinger Equation

机译：高阶非线性薛定inger方程的分叉分析和解

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

The purpose of this paper is to investigate a higher-order nonlinear Schrodinger equation with non-Kerr term by using the bifurcation theory method of dynamical systems and to provide its bounded traveling wave solutions. Applying the theory, we discuss the bifurcation of phase portraits and investigate the relation between the bounded orbit of the traveling wave system and the energy level. Through the research, new traveling wave solutions are given, which include solitary wave solutions, kink wave solutions, and periodic wave solutions.

机译：本文的目的是利用动力学系统的分岔理论方法研究具有非Kerr项的高阶非线性Schrodinger方程，并提供其有界行波解。应用该理论，我们讨论了相像的分叉，并研究了行波系统的有界轨道与能级之间的关系。通过研究，给出了新的行波解，包括孤波解，扭结波解和周期波解。

著录项

来源
《Mathematical Problems in Engineering》 |2015年第1期|408586.1-408586.10|共10页
作者
Li Yi; Shan Wen-rui; Shuai Tianping; Rao Ke;
展开▼
作者单位

Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China.;

Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China.;

Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China.;

Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China.;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类
关键词

相似文献

外文文献
中文文献
专利

1. Study of modulation instability analysis and optical soliton solutions of higher-order dispersive nonlinear Schrodinger equation with dual-power law nonlinearity [J] . Nasreen Naila, Seadawy Aly R., Lu Dianchen Modern Physics Letters, B. Condensed Matter Physics, Statistical Physics, Applied Physics . 2019,第25期

机译：高阶分散非线性薛定林方程调制不稳定分析与光学孤子解决方案与双功率法非线性
2. Soliton solutions and their stabilities of three (2+1)-dimensional PT-symmetric nonlinear Schrodinger equations with higher-order diffraction and nonlinearities [J] . Chen Shao-Jiang, Lin Jia-Ni, Wang Yue-Yue Optik: Zeitschrift fur Licht- und Elektronenoptik: = Journal for Light-and Electronoptic . 2019,第期

机译：孤子解决方案及其具有高阶衍射和非线性的三维PT-对称非线性Schrodinger方程的孤子解决方案及其稳定性
3. Solitons and elliptic function solutions of higher-order dispersive and perturbed nonlinear Schrodinger equations with the power-law nonlinearities in non-Kerr medium [J] . Nasreen Naila, Seadawy Aly R., Lu Dianchen, European Physical Journal Plus . 2019,第10期

机译：高阶分散和扰动非线性施罗德格方程的孤子和椭圆形功能解决方案与非KERR介质的动力法非线性
4. Nonlinear Schrodinger Equations with a Four-Well Potential in Two Dimensions: Bifurcations and Stability Analysis [C] . C. Wang, G. Theocharis, P.G. Kevrekidis, Conference on Nonlinear Science and Complexity . 2011

机译：非线性Schrodinger方程具有四个尺寸的四大电位：分叉和稳定性分析
5. Stability and existence of traveling wave solutions of the two-dimensional nonlinear Schrodinger equation and its higher-order generalizations. [D] . Carter, John David. 2001

机译：二维非线性Schrodinger方程行波解的稳定性和存在性及其高阶推广。
6. Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy–Sobolev exponent and singular nonlinearity [O] . Liejun Shen -1

机译：具有Hardy-Sobolev指数和奇异非线性的Kirchhoff型方程解的多重性和渐近性
7. Bifurcation Analysis and Solutions of a Higher-Order Nonlinear Schrödinger Equation [O] . Yi Li, Wen-rui Shan, Tianping Shuai, 2015

机译：高阶非线性Schrödinger方程的分岔分析与解决方案

Bifurcation Analysis and Solutions of a Higher-Order Nonlinear Schrodinger Equation

摘要

著录项

相似文献

相关主题

期刊订阅