摘要
A (2+1 ) 维的 KdV 方程被 Hirota 方法的使用获得，它拥有 N-soliton 答案，特殊，它的准确 two-soliton 答案被介绍。由采用合适的代数学的转变和 Riccati 方程，钟形状 soliton 解决方案的一种类型经由在 Riccati 方程认为变量是独立变量被生产。最后，我们扩大上面(2+1 ) 维的 KdV 方程进(3+1 ) 维的方程， two-solitonsolutions 被给。
A （2＋1）-dimensional KdV equation is obtained by use of Hirota method, which possesses N-soliton solution, specially its exact two-soliton solution is presented. By employing a proper algebraic transformation and the Riccati equation, a type of hell-shape soliton solutions are produced via regarding the variable in the Riccati equation as the independent variable. Finally, we extend the above （2＋1）-dimensional KdV equation into （3＋1）-dimensional equation, the two-soliton solutions are given.
基金
＊The project supported by National Natural Science Foundation of China under Grant No. 10471139 and Hong Kong Research Grant Council under Grant No. HKBU/2016/03P
