Exact Solutions for Nonlinear Differential Difference Equations in Mathematical Physics-Reference-Cited by-同舟云学术

Exact Solutions for Nonlinear Differential Difference Equations in Mathematical Physics

Published:2013 Issue: Volume:2013 Page:1-10
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Gepreel Khaled A.¹²,Nofal Taher A.²³,Alotaibi Fawziah M.²^ORCID

Affiliation:

1. Mathematics Department, Faculty of Science, Zagazig University, Egypt

2. Mathematics Department, Faculty of Science, Taif University, Saudi Arabia

3. Mathematics Department, Faculty of Science, Minia University, Egypt

Abstract

We modified the truncated expansion method to construct the exact solutions for some nonlinear differential difference equations in mathematical physics via the general lattice equation, the discrete nonlinear Schrodinger with a saturable nonlinearity, the quintic discrete nonlinear Schrodinger equation, and the relativistic Toda lattice system. Also, we put a rational solitary wave function method to find the rational solitary wave solutions for some nonlinear differential difference equations. The proposed methods are more effective and powerful to obtain the exact solutions for nonlinear difference differential equations.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/756896.pdf

Reference30 articles.

1. Solitons in Polyacetylene

2. The theory of contraction of proteins under their excitation

3. Observation of nonlinear localized modes in an electrical lattice

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