利用联系3个位势的2×2矩阵谱问题,对一个广义耦合mKdV方程建立了Darboux变换.应用Darboux变换和符号计算获得了该广义耦合mKdV方程的N孤立子解.
A Darboux transformation for a generalized coupled modified Korteweg-de Vries equation is established with the aid of the gauge transformation between the corresponding 2×2 matrix spectral problem with three potentials.As an application of the Darboux transformation,N-soliton solutions of the generalized coupled modified Korteweg-de Vries equation are obtained by symbolic computation.