A nonconfocal involutive system and constrained flows associated with the MKdV− equation
A nonconfocal involutive system and constrained flows associated with the MKdV− equation
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DOI：
10.1063/1.1506202
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发表时间：
2002-09
影响因子：
1.3
通讯作者：
Yi-shen Li;W. Ma
中科院分区：
文献类型：
--
作者：
Yi-shen Li;W. Ma
通过对称约束，从MKdV -方程的Lax表示推导出新的有限维可积系统，该方程的两项包含空间导数具有相同的符号。给出了得到的有限维可积系统的Lax表示，并建立了相应的Lax算子的r矩阵表达式。从Lax算子出发，构造了一个函数无关多项式函数的非共焦对合系统。MKdV -的解可以用分离变量的方法得到。
By symmetry constraints, new finite-dimensional integrable systems are deduced from a Lax representation of the MKdV− equation, whose two terms containing spatial derivatives have the same sign. Lax representations are presented for the resulting finite-dimensional integrable systems and an r-matrix formulation is established for the corresponding Lax operator. From the Lax operator, a nonconfocal involutive system of functionally independent polynomial functions is constructed. Solutions of the MKdV− can be obtained by the method of separation of variables.