On the linearization of the coupled Harry-Dym soliton hierarchy

• 来源期刊: 中国物理（英文版）
• 关键词: soliton hierarchy Hamiltonian systems Riemann surface Abel-Jacobi coordinates
• 年，卷（期）: 2006,（7）
• 页码范围: 1407-1413
• 页数: 7页
• 语种: 英文

摘要

This paper is devoted to the study of the underlying linearities of the coupled Harry-Dym (cHD) soliton hierarchy,including the well-known cHD equation. Resorting to the nonlinearization of Lax pairs, a family of finite-dimensional Hamiltonian systems associated with soliton equations are presented, constituting the decomposition of the cHD soliton hierarchy. After suitably introducing the Abel-Jacobi coordinates on a Riemann surface, the cHD soliton hierarchy can be ultimately reduced to linear superpositions, expressed by the Abel-Jacobi variables.