A hybrid type of soliton equations with self-consistent sources: KP and Toda cases
A hybrid type of soliton equations with self-consistent sources: KP and Toda cases
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DOI：
10.1016/j.jmaa.2010.12.010
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发表时间：
2011-04
影响因子：
1.3
通讯作者：
Hong-Yan Wang;Xing-Biao Hu
中科院分区：
文献类型：
--
作者：
Hong-Yan Wang;Xing-Biao Hu
利用源生成方法构造了一类混合型自洽源孤子方程。例子包括KP方程与自洽源（KPESCS）和二维TodaESCS。这种混合型SESCS的一个典型特征是，这些新系统的孤子解包含两个独立变量的线性组合的任意函数，这不同于普通SESCS，其中孤子解仅包含一个独立变量的任意函数。此外，所得到的两个混合SESCS可以分别简化为两个不同的简单SESCS。
Source generation procedure is applied to construct a hybrid type of soliton equations with self-consistent sources (SESCSs). The examples include the KP equation with self-consistent sources (KPESCS) and two-dimensional TodaESCS. One typical feature for this hybrid type of SESCSs is that soliton solutions of these new systems contain arbitrary functions of a linear combination of two independent variables, which is different from the normal SESCSs where soliton solutions only contain arbitrary functions of one independent variable. What's more, the obtained two hybrid SESCSs can be reduced to two different simpler SESCSs respectively.