The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions-Reference-Cited by-同舟云学术

The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions

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:

El-Ganaini Shoukry Ibrahim Atia¹²^ORCID

Affiliation:

1. Mathematics Department, Faculty of Science, Damanhour University, Bahira 22514, Egypt

2. Mathematics Department, Faculty of Science and Humanity Studies at Al-Quwaiaiah, Shaqra University, Al-Quwaiaiah 11971, Saudi Arabia

Abstract

The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS) equation with a source, and the higher-order nonlinear Schrodinger equation in nonlinear optical fibers. This method provides polynomial first integrals for autonomous planar systems. Through the established first integrals, exact traveling wave solutions are formally derived in a concise manner.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/349173.pdf

Reference39 articles.

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4. The tanh and the sine–cosine methods for a reliable treatment of the modified equal width equation and its variants

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