Hierarchy of Combined TL-RTL Equations and an Associated (2+1)-Dimensional Lattice Equation
Hierarchy of Combined TL-RTL Equations and an Associated (2+1)-Dimensional Lattice Equation
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DOI：
10.1088/0253-6102/46/5/002
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发表时间：
2006-11
影响因子：
3.1
通讯作者：
Jiang Qiao-yun;Zhou Ru-guang
中科院分区：
文献类型：
--
作者：
Jiang Qiao-yun;Zhou Ru-guang
基于(1+1)维Toda晶格和相对论Toda晶格(TL-RTL)方程的层次结构中的前两个成员，提出了一个新的(2+1)维晶格方程。构造了组合TL-RTL方程组的达布变换。通过达布变换，得到了组合TL-RTL方程的前两个成员的解，以及新的(2+1)维格点方程。
A new (2+1)-dimensional lattice equation is presented based upon the first two members in the hierarchy of the combined Toda lattice and relativistic Toda lattice (TL-RTL) equations in (1+1) dimensions. A Darboux transformation for the hierarchy of the combined TL-RTL equations is constructed. Solutions of the first two members in the hierarchy of the combined TL-RTL equations, as well as the new (2+1)-dimensional lattice equation are explicitly obtained by the Darboux transformation.