A New Nonlinear Integrable Couplings of Solioton Hierarchy and its Hamiltonian Structure with Kronecker Product

作者：Li Li; Yu Fajun^*

来源：International Journal of Nonlinear Sciences and Numerical Simulation, 2013, 14(7-8): 513-519.

DOI：10.1515/ijnsns-2013-0068

• nonlinear integrable coupling system
• soliton hierarchy
• Kronecker product
• Hamiltonian structure

It is shown that the Kronecker product can be applied to construct new nonlinear integrable coupling system of soliton equation hierarchy in this paper. A direct application to the KN spectral problem leads to a novel KN soliton equation hierarchy of nonlinear integrable coupling system, which is different from any one obtained before. Furthermore, we present the Hamiltonian structures of nonlinear integrable couplings of KN hierarchy by using a pairs from special non-semisimple matrix Lie algebras and variational identities over the associated loop algebras. It is also indicated that the study of nonlinear integrable couplings using the Kronecker product is an efficient and straightforward method.

• 出版日期2013-12
• 单位沈阳师范大学