Soliton Solutions of a Coupled Modified KdV Equations
Soliton Solutions of a Coupled Modified KdV Equations
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DOI：
10.1143/jpsj.66.577
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发表时间：
1997-03
影响因子：
1.7
通讯作者：
Masataka Iwao;R. Hirota
中科院分区：
文献类型：
--
作者：
Masataka Iwao;R. Hirota
对于由\(\frac{\partial v_i}{\partial t} + 6\left(\sum_{1 \leq j < k \leq N } c_{jk} v_j v_k\right) \frac{\partial v_i}{\partial x} + \frac{\partial ^3 v_i}{\partial x^3}=0\)（其中\(i = 1,2,\cdots,N\)，系数\(c_{jk}\)为任意常数）所表示的非线性偏微分方程组，其多孤子解由普法夫式表示。
The multisoliton solution to a system of nonlinear partial differential equations which is expressed by \(\frac{\partial v_i}{\partial t} + 6\left(\sum_{1 \leq j < k \leq N } c_{jk} v_j v_k\right) \frac{\partial v_i}{\partial x} + \frac{\partial ^3 v_i}{\partial x^3}=0,\) for i =1,2,…, N where the coefficients c j k are arbitrary constants, is expressed by the pfaffians.