(2+1)维KD方程组的一类非亚纯行波解

On the Same Class Non-Meromorphic Travel Solutions of (2+1) Dimensional KD Equations

通过行波变换将(2+1)维KD方程组转变为复域中的常微分方程,给出复合的(2+1)维KD方程组2(wk-3l2+3ak2 C1)u=2k4 u″-k2 a2 u3+(6k2b-3kal)u2+C2,v=lku+C1的一类非亚纯解的结构.

Through the traveling wave transformation in the paper, the （2 ＋ 1） dimensional KD equations to the ordinary diferential equation in complex field has been transformed. And the forms of solutions of the complex KD equations 2 （ wk - 3l^2 ＋3ak^2C_1 ） u = 2k ^4 u＂-- k^2 a^2 u^3 ＋ （ 6k^2 b- 3kal ） u^2 ＋C_2, v= lku ＋ C_1 has also been investigated, and the same class non-meromorphic travel solutions been obtained.