Published February 11, 2008
| Version v1
Journal article
New binary travelling-wave periodic solutions for the modified KdV equation
Creators
- 1. Key Laboratory of Mathematics Mechanization, Institute of Systems Science, AMSS, Chinese Academy of Sciences, Beijing 100080 (China)
Description
In this Letter, the modified Korteweg-de Vries (mKdV) equations with the focusing (+) and defocusing (-) branches are investigated, respectively. Many new types of binary travelling-wave periodic solutions are obtained for the mKdV equation in terms of Jacobi elliptic functions such as sn(ξ,m)cn(ξ,m)dn(ξ,m) and their extensions. Moreover, we analyze asymptotic properties of some solutions. In addition, with the aid of the Miura transformation, we also give the corresponding binary travelling-wave periodic solutions of KdV equation
Availability note (English)
Available from http://dx.doi.org/10.1016/j.physleta.2007.08.043Additional details
Identifiers
- DOI
- 10.1016/j.physleta.2007.08.043;
- PII
- S0375-9601(07)01252-2;
Publishing Information
- Journal Title
- Physics Letters. A
- Journal Volume
- 372
- Journal Issue
- 7
- Journal Page Range
- p. 969-977
- ISSN
- 0375-9601
- CODEN
- PYLAAG
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39094734
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ASYMPTOTIC SOLUTIONS; FOCUSING; JACOBIAN FUNCTION; KORTEWEG-DE VRIES EQUATION; PERIODICITY; TRANSFORMATIONS; TRAVELLING WAVES; WAVE EQUATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; VARIATIONS
Optional Information
- Copyright
- Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.