Travelling Wave Solutions for Nonlinear Schrödinger Equation with a Higher-Order Dispersive Term
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-23
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A nonlinear Schrödinger equation with a higher-order dispersive term describing the propagation of ultrashort femtosecond pulses in optical fibres is considered and is transformed into a second-order nonlinear ordinary differential equation.
We investigate the exact travelling wave solutions of the nonlinear Schrödinger equation using three methods, namely, the auxiliary equation method, the first integral method, and the direct integral method.
As a result, Jacobi elliptic function solution, hyperbolic function solution, trigonometric function solution, and rational solution with parameters are obtained successfully.
When the parameters are taken as special values, the two known solitary wave solution and periodic wave solution are derived from the solutions obtained.
The aim of the paper is to compare the efficiency of the three methods.
American Psychological Association (APA)
Cao, Rui. 2013. Travelling Wave Solutions for Nonlinear Schrödinger Equation with a Higher-Order Dispersive Term. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-513112
Modern Language Association (MLA)
Cao, Rui. Travelling Wave Solutions for Nonlinear Schrödinger Equation with a Higher-Order Dispersive Term. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-513112
American Medical Association (AMA)
Cao, Rui. Travelling Wave Solutions for Nonlinear Schrödinger Equation with a Higher-Order Dispersive Term. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-513112
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513112