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

被引：2

作者：

Yu, Jing ^{[1
,2
]}

He, Jing-song ^{[2
,3
]}

Cheng, Yi ^{[2
]}

机构：

[1] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Zhejiang, Peoples R China

[2] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China

[3] Ningbo Univ, Sch Sci, Ningbo 315211, Zhejiang, Peoples R China

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2014年 / 30卷 / 02期

基金：

中国国家自然科学基金;

关键词：

an implicit symmetry constraint; binary nonlinearization; AKNS system; completely integrable Hamiltonian system; DIMENSIONAL INTEGRABLE SYSTEMS; SPECTRAL PROBLEM; AKNS HIERARCHY;

D O I：

10.1007/s10255-014-0286-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：379 / 388

页数：10

共 20 条

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