| Binary Nonlinearization of the Nonlinear Schr?dinger Equation Under an Implicit Symmetry Constraint |
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| 作者姓名： | Jing YU Jing-song HE Yi CHENG |
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| 基金项目： | Supported by the National Natural Science Foundation of China （No. 11001069, 61273077, 11271210 and 10971109）, Program for NCET under Grant No. NCET-08-0515 and Zhejiang Provincial Natural Science Foun- dation of China under Grant No. LQ12A01002 and LQ12A01003. |
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| 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 Schr¨odinger equation.We show that this system is a completely integrable Hamiltonian system.
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| 关 键 词： | 非线性薛定谔方程 非线性化 对称约束 哈密顿系统 二元 Lax对 完全可积 谱问题 |
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