Published July 30, 2009 | Version v1
Journal article Metadata-only

New solutions for the cubic Schroedinger equation and solitonic solutions

Creators

  • 1. Department of Maths, Faculty of Education, Kafr El-Sheikh (Egypt)

Description

In this work, we will consider a nonlinear cubic Schroedinger equation. We make use of both the truncated Painleve expansion and symbolic computation method to obtain an auto-Backlund transformation and certain soliton-typed explicit solutions. Also, it is show that the homogeneous balance method is extended to search for Backlund transformation for the Schroedinger equation.

Availability note (English)

Available from http://dx.doi.org/10.1016/j.chaos.2008.02.033

Additional details

Identifiers

DOI
10.1016/j.chaos.2008.02.033;
PII
S0960-0779(08)00085-4;

Publishing Information

Journal Title
Chaos, Solitons and Fractals
Journal Volume
41
Journal Issue
2
Journal Page Range
p. 550-559
ISSN
0960-0779

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41014367
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
BAECKLUND TRANSFORMATION; BALANCES; CALCULATION METHODS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; SCHROEDINGER EQUATION; SOLITONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MEASURING INSTRUMENTS; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES; TRANSFORMATIONS; WAVE EQUATIONS; WEIGHT INDICATORS

Optional Information

Copyright
Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.