通过引入正则变量,把一类非线性耦合KdV方程组转化为多辛方程组,推导出多辛守恒律.再依据多辛方程组构造多辛Preissmann格式,并且用数值试验证明了格式的有效性.%The multi-symplectic equations and conservation law of the nonlinear coupled KdV system are presen-ted in the teams of canonical variables. By using the multi-symplectic equations, a new multi-symplectic preiss-mann scheme is obtained. The numerical experiments show that the multi-symplectic scheme constructed is effec-tive.
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