A real nonlinear integrable couplings of continuous soliton hierarchy and its Hamiltonian structure

作者：Yu Fajun^*

来源：Physics Letters A, 2011, 375(13): 1504-1509.

DOI：10.1016/j.physleta.2011.02.043

• Nonlinear integrable coupling system
• Soliton hierarchy
• Non-semisimple
• Hamiltonian structure

Some integrable coupling systems of existing papers are linear integrable couplings. In the Letter, beginning with Lax pairs from special non-semisimple matrix Lie algebras, we establish a scheme for constructing real nonlinear integrable couplings of continuous soliton hierarchy. A direct application to the AKNS spectral problem leads to a novel nonlinear integrable couplings, then we consider the Hamiltonian structures of nonlinear integrable couplings of AKNS hierarchy with the component-trace identity.

• 出版日期2011-3-28
• 单位沈阳师范大学