Generalized double Casoratian solutions to the four-potential isospectral Ablowitz-Ladik equation

Generalized double Casoratian solutions to the four-potential isospectral Ablowitz-Ladik equation
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四势等谱 Ablowitz-Ladik 方程的广义双 Casoratian 解

DOI:
10.1016/j.cnsns.2013.04.024
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发表时间:
2013-11
影响因子:
3.9
通讯作者:
Chen, Dengyuan
Chen, Dengyuan
中科院分区:
数学2区
文献类型:
--
作者:
Chen, Shouting;Zhang, Jianbing;Chen, Dengyuan

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Generalized solutions in double Casoratian form of the four-potential isospectral Ablowitz–Ladik equation possessing bilinear form are derived through a matrix method for constructing double Casoratian entries. A novel class of explicit solutions, such as soliton, rational-like, Matveev, Complexiton and interaction solutions, are obtained by letting the general matrix be some special cases. Interestingly, a periodic solution is deduced from the Complexiton solution.
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