南通大学学报：自然科学版2011，Vol.10Issue(3)：83-86,4.
一族耦合Kaup-Newell方程及其相伴可积哈密顿系统
A Hierarchy of Coupled Kaup-Newell Equations and the Associated Integrable Hamiltonian System
摘要
Abstract
By introducing a 4 × 4 matrix spectral problem with four potentials, a hierarchy of nonlinear evolution is derived; a meaningful equation in the hierarchy is a coupled Kaup-Newelluation. Through the nonlinearization of eigenvalue problems and an additional constraint, a new tegrable Hamiltonian system is presented in the sense of Liouville.关键词
耦合Kaup-Newell方程/可积哈密顿系统/Lax对非线性化Key words
coupled Kaup-Newell equation/intergrable Hamiltonian systern/nonlinearization of Lax pairs分类
数理科学引用本文复制引用
蒋巧云,袁邢华..一族耦合Kaup-Newell方程及其相伴可积哈密顿系统[J].南通大学学报：自然科学版,2011,10(3):83-86,4.基金项目
南通大学自然科学基金项目 （）
