A generalized Hirota-Satsuma coupled KdV system: Darboux transformations and reductions
A generalized Hirota-Satsuma coupled KdV system: Darboux transformations and reductions
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DOI：
10.1063/1.4960747
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发表时间：
2016-08
影响因子：
1.3
通讯作者：
Lingling Xue;Q. P. Liu;Deng‐Shan Wang
中科院分区：
文献类型：
--
作者：
Lingling Xue;Q. P. Liu;Deng‐Shan Wang
本文对广义Hirota-Satsuma耦合KdV系统构造了一个Darboux变换，并将所得结果与Geng等人[X. G. Geng等人，E79，056602（2009）和X. G. Geng和G. L. He，J.Math.Phys.51，033514（2010）]。它表明，我们的达布变换可以适用于一般系统的三个有趣的减少。此外，还计算了这种达布变换的迭代过程，得到了相应方程组的解。
A Darboux transformation is constructed for the generalized Hirota-Satsuma coupled KdV system and the result is compared with the recent work of Geng and his collaborators [X. G. Geng et al., Phys. Rev. E 79, 056602 (2009) and X. G. Geng and G. L. He, J. Math. Phys. 51, 033514 (2010)]. It is shown that our Darboux transformation may be applied to three interesting reductions of the general system. In addition, the iteration of this Darboux transformation is worked out, and some solutions to the associated systems are obtained.