A factorization procedure for solving the Camassa–Holm equation

2006/03/22 by A. Parker · 1 citation
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Algorithm #Applied mathematics #Bilinear interpolation #Camassa–Holm equation #Computer science #Construct (python library) #Extant taxon #Factorization #Integrable system #Mathematical analysis #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Pure mathematics #Statistics

paper · pdf · doi:10.1088/0266-5611/22/2/013

openalex publication_date 2006/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08

Abstract

A factorization technique is presented for solving the Camassa–Holm equation in an efficient manner. The procedure, which reformulates the extant bilinear transform method, is used to construct analytic multisoliton solutions of the equation.

Citations

• A New Integrable Shallow Water Equation
• Parametric Representation for the Multisoliton Solution of the Camassa–Holm Equation
• The Camassa-Holm Equation: A Loop Group Approach
• Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation

Cited by

• Camassa–Holm equation [wikipedia]