非线性耦合Ito系统新精确解的符号计算

Some New Exact Solutions for the Nolinear Coupled Ito System through Symbol Computation

利用最近引入的齐次平衡原理与新代数法的思想,借助于计算机代数系统Maple软件,得到了一个非线性耦合Ito系统的新孤子解、周期解。较以往一些常见的方法而言,该方法简洁而有效。

With the aid of computer algebraic software of Maple, and by using the principle of homogeneous balance recently introduced and the idea of mapping approach, we can obtain several new soliton solutions and periodic solutions for the nonlinear coupled Ito system. Compare to the methods we have ever seen before, our approach is simple and effective.