Nonlinear Dynamics and Exact Traveling Wave Solutions of the Higher-Order Nonlinear Schrödinger Equation with Derivative Non-Kerr Nonlinear Terms

Joint Authors

Wang, Heng
Chen, Longwei
Zheng, Shuhua
Liu, Hongjiang

Source

Mathematical Problems in Engineering

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-01-03

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Civil Engineering

Abstract EN

By using the method of dynamical system, the exact travelling wave solutions of the higher-order nonlinear Schrödinger equation with derivative non-Kerr nonlinear terms are studied.

Based on this method, all phase portraits of the system in the parametric space are given with the aid of the Maple software.

All possible bounded travelling wave solutions, such as solitary wave solutions, kink and anti-kink wave solutions, and periodic travelling wave solutions, are obtained, respectively.

The results presented in this paper improve the related previous conclusions.

American Psychological Association (APA)

Wang, Heng& Chen, Longwei& Liu, Hongjiang& Zheng, Shuhua. 2016. Nonlinear Dynamics and Exact Traveling Wave Solutions of the Higher-Order Nonlinear Schrödinger Equation with Derivative Non-Kerr Nonlinear Terms. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1112572

Modern Language Association (MLA)

Wang, Heng…[et al.]. Nonlinear Dynamics and Exact Traveling Wave Solutions of the Higher-Order Nonlinear Schrödinger Equation with Derivative Non-Kerr Nonlinear Terms. Mathematical Problems in Engineering No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1112572

American Medical Association (AMA)

Wang, Heng& Chen, Longwei& Liu, Hongjiang& Zheng, Shuhua. Nonlinear Dynamics and Exact Traveling Wave Solutions of the Higher-Order Nonlinear Schrödinger Equation with Derivative Non-Kerr Nonlinear Terms. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1112572

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1112572