Soliton Solutions of a Coupled Modified KdV Equations

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.