A semi-discrete integrable multi-component coherently coupled nonlinear Schrödinger system
A semi-discrete integrable multi-component coherently coupled nonlinear Schrödinger system
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DOI：
10.1088/1751-8113/49/27/275204
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发表时间：
2016-05
期刊：
影响因子：
--
通讯作者：
Hai-qiong Zhao;Jinyun Yuan
中科院分区：
文献类型：
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作者：
Hai-qiong Zhao;Jinyun Yuan
提出了多分量相干耦合非线性薛定谔方程的一种新的可积半离散形式。半离散系统的可积性由Lax对的存在性和无穷多个守恒律得到了证实。借助于规范变换，导出了N重达布变换的显式公式，从而给出了系统的一些物理上重要的解。进一步，给出了半离散系统在连续极限下的Lax对、Darboux变换、精确解和无穷多个守恒律的理论.
A new integrable semi-discrete version is proposed for the multi-component coherently coupled nonlinear Schrödinger equation. The integrability of the semi-discrete system is confirmed by existence of Lax pair and infinite number of conservation laws. With the aid of gauge transformations, explicit formulas for N-fold Darboux transformations are derived whereby some physically important solutions of the system are presented. Furthermore, the theory of the semi-discrete system including Lax pair, Darboux transformations, exact solutions and infinite number of conservation laws are shown for their continuous counterparts in the continuous limit.