Computers and Mathematics with Applications Constructing Nonlinear Discrete Integrable Hamiltonian Couplings

Computers and Mathematics with Applications Constructing Nonlinear Discrete Integrable Hamiltonian Couplings
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通讯作者：
W. Ma;Zuo-nong Zhu
W. Ma;Zuo-nong Zhu
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作者：
W. Ma;Zuo-nong Zhu

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从特殊的非半单矩阵李代数的Lax对出发，建立了一个构造非线性离散可积耦合的方案。相关的循环代数的离散变分恒等式被用来建立所产生的可积耦合的哈密顿结构。我们通过一个扩大的沃尔泰拉谱问题说明了该方案的应用，并给出了一个沃尔泰拉格点方程的非线性离散可积Hamilton耦合的例子。
Beginning with Lax pairs from special non-semisimple matrix Lie algebras, we establish a scheme for constructing nonlinear discrete integrable couplings. Discrete variational identities over the associated loop algebras are used to build Hamiltonian structures for the resulting integrable couplings. We illustrate the application of the scheme by means of an enlarged Volterra spectral problem and present an example of nonlinear discrete integrable Hamiltonian couplings for the Volterra lattice equations.