IJPAM: Volume 106, No. 2 (2016)

EXACT SOLUTIONS OF THE HIGHER-ORDER NONLINEAR
SCHRÖDINGER EQUATION WITH CUBIC-QUINTIC
NONLINEARITIES, SELF-STEEPING AND
SELF-FREQUENCY SHIFT EFFECTS

M.M. Hassan$^1$, N.H. Abdel-Wahab$^2$, M.S. Abdel-Daym$^3$
$^{1,2,3}$Mathematics Department
Faculty of Science
Minia University
El-Minia, EGYPT


Abstract. In this paper, the F-expansion method has been used to find several types of exact solutions of the higher-order nonlinear Schrödinger (HONLS) equation with cubic-quintic nonlinearities, self-steeping and self-frequency shift effects which describes the propagation of an optical pulse in optical fibers. With the aid of symbolic computation, explicit exact solutions of HONLS equation are presented which include many Jacobi elliptic function solutions, bell-shaped and kink -shaped solitary wave solutions. The properties of some solutions are shown by some figures.

Received: November 19, 2015

AMS Subject Classification: 35Q40, 35Q55, 35Q60

Key Words and Phrases: F-expansion method, Higher-order nonlinear Schrodinger equation, exact solutions

Download paper from here.



DOI: 10.12732/ijpam.v106i2.13 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 2
Pages: 481 - 511


Google Scholar; DOI (International DOI Foundation); WorldCAT.

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).