Construction of Solitary Wave Solutions of the Korteweg-De-Vries Equation Via Painleve Analysis
Abstract
Starting from the Painleve-Backlund equations obtained from Painleve analysis of the Korteweg-de Vries equation, closed form solitary wave solutions are explicitly constructed. It is shown that repetitive application of the Mobius group of fractional linear transformations does not lead to new solutions. Various connections of the Painleve method with Hirota's formalism, the Backlund transformation method, the Lax approach and the Inverse Scattering Technique are discussed in detail.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1988
- Accession Number
- ADA204101
Entities
People
- D. Faker
- P. P. Banerjee
- W. Hereman
Organizations
- University of Wisconsin–Madison