IJPAM: Volume 106, No. 2 (2016)
SCHRÖDINGER EQUATION WITH CUBIC-QUINTIC
NONLINEARITIES, SELF-STEEPING AND
SELF-FREQUENCY SHIFT EFFECTS
Faculty of Science
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
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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
Pages: 481 - 511