Binary Nonlinearization of the Nonlinear SchrSdinger Equation Under an Implicit Symmetry Constraint

By modifying the procedure of binary nonlinearization for the AKNS spectral problem and its adjoint spectral problem under an implicit symmetry constraint, we obtain a finite dimensional system from the Lax pair of the nonlinear Schrodinger equation. We show that this system is a completely integrab...

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Bibliographic Details
Published in:	应用数学学报：英文版 no. 2; pp. 379 - 388
Main Author:	Jing YU Jing-song HE Yi CHENG
Format:	Journal Article
Language:	English
Published:	2014
Subjects:	Lax对二元哈密顿系统完全可积对称约束谱问题非线性化非线性薛定谔方程
Online Access:	Get full text
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Summary:	By modifying the procedure of binary nonlinearization for the AKNS spectral problem and its adjoint spectral problem under an implicit symmetry constraint, we obtain a finite dimensional system from the Lax pair of the nonlinear Schrodinger equation. We show that this system is a completely integrable Hamiltonian system.
Bibliography:	an implicit symmetry constraint; binary nonlinearization; AKNS system;completely integrable Hamiltonian system By modifying the procedure of binary nonlinearization for the AKNS spectral problem and its adjoint spectral problem under an implicit symmetry constraint, we obtain a finite dimensional system from the Lax pair of the nonlinear Schrodinger equation. We show that this system is a completely integrable Hamiltonian system. 11-2041/O1
ISSN:	0168-9673 1618-3932