讨论了一类Kd V型方程的不变子空间,通过分别考虑其二维和三维不变子空间,构造了方程的不同形式的广义分离变量解,得到了一些方程的尖峰孤子解和爆破解。
Invariant subspace of a family of Kd V-type equations are discussed. By studying two-dimension and three-dimension invariant subspace,several different types of separation of variables solutions are obtained. Peak solutions and blow-up solutions of some equations are also derived.