An integrable generalization of the Kaup-Newell soliton hierarchy

作者：Ma, Wen-Xiu^*; Shi, Chang-Guang; Appiah, Emmanuel A.; Li, Chunxia; Shen, Shoufeng

来源：Physica Scripta, 2014, 89(8): 085203.

DOI：10.1088/0031-8949/89/8/085203

• soliton equations
• Hamiltonian structure
• symmetries and conservation laws

A generalization of the Kaup-Newell spectral problem associated with sl (2, R) is introduced and the corresponding generalized Kaup-Newell hierarchy of soliton equations is generated. Bi-Hamiltonian structures of the resulting soliton hierarchy, leading to a common recursion operator, are furnished by using the trace identity, and thus, the Liouville integrability is shown for all systems in the new generalized soliton hierarchy. The involved bi-Hamiltonian property is explored by using the computer algebra system Maple.

• 出版日期2014-8
• 单位浙江工业大学; 上海电力大学; 首都师范大学