On Camassa–Holm Equation with Self-Consistent Sources and Its Solutions
Huang Ye-HuiDepartment of Mathematical Science, Tsinghua University, Beijing 100084, ChinaYao Yu-QinDepartment of Applied Mathematics, China Agricultural University, Beijing 100083, ChinaZeng Yun-BoDepartment of Mathematical Science, Tsinghua University, Beijing 100084, China
2010en
ABI
Abstract
Regarded as the integrable generalization of Camassa–Holm (CH) equation, the CH equation with self-consistent 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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