Strong symmetries for the four-potential non-isospectral Ablowitz-Ladik equations

Chen S.-T.; Zhang J.-B.; Zhang D.-J.

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Strong symmetries for the four-potential non-isospectral Ablowitz-Ladik equations

机译：四能势非等谱Ablowitz-Ladik方程的强对称性

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摘要

The strong symmetry for each four-potential non-isospectral Ablowitz-Ladik (AL) equation is given explicitly. Two sets of symmetries for the non-isospectral AL hierarchy can be generated by the strong symmetry acting on the elementary symmetries. The obtained symmetries are proved to satisfy the Lie algebraic structure by means of functional derivative formulae. Furthermore, under the reduction of the potentials, the strong symmetry of each even order member of the non-isospectral hierarchy can be reduced to the two potential case.

机译：明确给出了每个四势能非等谱Ablowitz-Ladik（AL）方程的强对称性。通过对基本对称性进行强对称，可以生成非等光谱AL层次结构的两组对称性。通过泛函导数公式证明所获得的对称性满足Lie代数结构。此外，在电势降低的情况下，非等谱层级的每个偶数阶成员的强对称性可以降低到两种电势情况。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2013年第4期|共5页
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Chen S.-T.; Zhang J.-B.; Zhang D.-J.;
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正文语种 eng
中图分类物理学;
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专利

1. Strong symmetries for the four-potential non-isospectral Ablowitz-Ladik equations [J] . Chen S.-T., Zhang J.-B., Zhang D.-J. Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2013,第4期

机译：四能势非等谱Ablowitz-Ladik方程的强对称性
2. Symmetries for the Ablowitz-Ladik hierarchy: Part I. Four-potential case [J] . Zhang D.-J., Chen S.-T. Studies in Applied Mathematics . 2010,第4期

机译：Ablowitz-Ladik层次结构的对称性：第一部分。四势情况
3. Generalized double Casoratian solutions to the four-potential isospectral Ablowitz-Ladik equation [J] . Shouting Chen, Jianbing Zhang, Dengyuan Chen Communications in Nonlinear Science and Numerical Simulation . 2013,第11期

机译：四势等谱Ablowitz-Ladik方程的广义双Casoratian解
4. Revertible and Symplectic Methods for the Ablowitz-Ladik Discrete Nonlinear Schroedinger Equation [C] . Ruili Zhang, Jianfei Huang, Yifa Tang, Grand challenges in modeling and simulation conference. . 2011

机译：Ablowitz-Ladik离散非线性Schroedinger方程的可逆和辛方法
5. Inverse Scattering Transform and Solitons for Matrix Nonlinear Schr?dinger Systems and for the Defocusing Ablowitz-Ladik Equation with Nonzero Boundary Conditions [D] . Ortiz, Alyssa Kayelin. 2019

机译：逆散射变换和矩阵非线性SCHR？Dinger系统以及与非零边界条件的Defocusing Ablowitz-Ladik方程
6. Blowup Phenomenon of Solutions for the IBVP of the Compressible Euler Equations in Spherical Symmetry [O] . Ka Luen Cheung, Sen Wong 2016

机译：球形对称可压缩Euler方程IBVP解的爆破现象。
7. Symmetries for the Ablowitz-Ladik hierarchy: I. Four-potential case [O] . Zhang, Da-jun, Chen, Shou-ting 2010

机译：ablowitz-Ladik等级的对称性：I。四个潜在的案例
8. New Set of Symmetries of the Integrable Equations, Lie Algebra and Non-Isospectral Evolution Equations-II: (AKNS System) [R] . Li Yishen, Zhu Guocheng 1985

机译：可积方程的新对称，李代数和非等谱发展方程-II :( aKNs系统）

Strong symmetries for the four-potential non-isospectral Ablowitz-Ladik equations

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