Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation
Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation
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DOI：
10.1016/s0096-3003(02)00651-3
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
D. Kaya
中科院分区：
文献类型：
--
作者：
D. Kaya
利用分解方法精确地得到了广义Hirota-Satsuma耦合KdV方程的孤波解。解的计算形式是一个收敛的幂级数，具有易于计算的分量。考虑了多种初值系统，数值说明了该方法在耦合KdV方程上的收敛性。本算法在准确性和简单性方面表现得非常好。
The solitary wave solutions of a generalized Hirota–Satsuma coupled KdV equation are obtained exactly by using the decomposition method. The solutions were calculated in the form of a convergent power series with easily computable components. A variety of initial value system is considered, the convergence of the method as applied to the coupled KdV equation is illustrated numerically. The present algorithm performs extremely well in terms of accuracy and simplicity.