2010•理论物理通讯：英文版Requires access

On Camassa-Holm Equation with Self-Consistent Sources and Its Solutions

Huang Ye

Abstract

Regarded as the integrable generalization of Camassa-Holm (CH) equation, the CH equation with selfconsistent sources (CHESCS) is derived. The Lax representation of the CHESCS is presented. The conservation laws for CHESCS are constructed. The peakon solution, N-soliton, N-cuspon, N-positon, and N-negaton solutions of CHESCS are obtained by using Darboux transformation and the method of variation of constants.

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Key concepts: Peakon, Camassa–Holm equation, Lax pair, Conservation law, Integrable system, Generalization, Transformation (genetics), Representation (politics)