Published January 20, 2006
| Version v1
Journal article
Coupled KdV equations derived from two-layer fluids
- 1. Center of Nonlinear Science, Ningbo University, Ningbo 315211 (China)
- 2. Department of Physics, Shanghai Jiao Tong University, Shanghai 200030 (China)
- 3. Department of Mathematics, Shanghai Science and Technology University, Shanghai (China)
Description
Some types of coupled Korteweg de-Vries (KdV) equations are derived from a two-layer fluid system. In the derivation procedure, an unreasonable y-average trick (usually adopted in the literature) is removed. The derived models are classified by means of the Painleve test. Three types of τ-function and multiple soliton solutions of the models are explicitly given via the exact solutions of the usual KdV equation. It is also discovered that a non-Painleve integrable coupled KdV system can have multiple soliton solutions
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/39/513/a6_3_005.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/39/513/a6_3_005.pdf;
- DOI
- 10.1088/0305-4470/39/3/005;
- PII
- S0305-4470(06)06927-7;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 39
- Journal Issue
- 3
- Journal Page Range
- p. 513-527
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37051485
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EXACT SOLUTIONS; FLUIDS; FUNCTIONS; INTEGRAL CALCULUS; KORTEWEG-DE VRIES EQUATION; LAYERS; SOLITONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL SOLUTIONS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES