Published January 28, 2008 | Version v1
Journal article Metadata-only

A new method for constructing soliton solutions and periodic solutions of nonlinear evolution equations

Creators

  • 1. Department of Mathematics, Shanghai University, Shanghai 200444 (China)

Description

With the aid of the symbolic computation, we improve Xie's algorithm [F. Xie, Z.Y. Yan, H. Zhang, Phys. Lett. A 285 (2001) 76], and present a new extended method. Based on the new general ansatz (3), we successfully solve a compound KdV-MKdV equation, and obtain some special solutions which contain soliton solutions, and periodic solutions. The method can also be applied to other nonlinear partial differential equations

Availability note (English)

Available from http://dx.doi.org/10.1016/j.physleta.2007.07.064

Additional details

Identifiers

DOI
10.1016/j.physleta.2007.07.064;
PII
S0375-9601(07)01101-2;

Publishing Information

Journal Title
Physics Letters. A
Journal Volume
372
Journal Issue
5
Journal Page Range
p. 604-609
ISSN
0375-9601
CODEN
PYLAAG

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39092668
Subject category
S99: GENERAL AND MISCELLANEOUS;
Descriptors DEI
ALGORITHMS; CALCULATION METHODS; EVOLUTION; KORTEWEG-DE VRIES EQUATION; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; PARTIAL DIFFERENTIAL EQUATIONS; PERIODICITY; SOLITONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL LOGIC; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES; VARIATIONS

Optional Information

Copyright
Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.