Complexiton solutions of the Toda lattice equation
Complexiton solutions of the Toda lattice equation
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DOI：
10.1016/j.physa.2004.06.072
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发表时间：
2004-06
影响因子：
3.3
通讯作者：
W. Ma;K. Maruno
中科院分区：
文献类型：
--
作者：
W. Ma;K. Maruno
提出了一组由微分-差分方程组成的耦合条件，用于求解 Toda 晶格方程的 Casorati 行列式。一类所得条件导致了一种通过 Casoratian 公式构建 Toda 晶格方程的复数解的方法。对求解所得到的微分差分方程组进行了分析，从而提供了产生形成复子所需的本征函数的通解。此外，还提出了一种计算所需特征函数的可行方法，以及低阶实复数的示例。
A set of coupled conditions consisting of differential-difference equations is presented for Casorati determinants to solve the Toda lattice equation. One class of the resulting conditions leads to an approach for constructing complexiton solutions to the Toda lattice equation through the Casoratian formulation. An analysis is made for solving the resulting system of differential-difference equations, thereby providing the general solution yielding eigenfunctions required for forming complexitons. Moreover, a feasible way is presented to compute the required eigenfunctions, along with examples of real complexitons of lower order.