由非零种子规范变换生成的（2+1）维KP、SK和KK方程的解
Solutions of the (2+1)-dimensional KP, SK and KK equations generated by gauge transformations from non-zero seeds
摘要：
利用规范变换，我们从非零种子出发，得到了（2+1）维Kadomtsev-Petviashvili（KP），Kaup-Kuperschalm（KK）和Sawada-Kotera（SK）方程的新解.对于前面的每个方程，给出了这些解$u_2$和从零种子生成的先前已知解$u_2^{\prime}$之间的伽利略型变换。给出了$u_2$和$u_2^{\prime}$单孤子解的几个显式表达式，并进一步指出了它们在参数相同的情况下的两个主要区别，即：峰线的高度和位置，在三个图中可见。
英文摘要：
By using gauge transformations, we manage to obtain new solutions of (2+1)-dimensional Kadomtsev-Petviashvili(KP), Kaup-Kuperschmidt(KK) and Sawada-Kotera(SK) equations from non-zero seeds. For each of the preceding equations, a Galilean type transformation between these solutions $u_2$ and the previously known solutions $u_2^{\prime}$ generated from zero seed is given. We present several explicit formulas of the single-soliton solutions for $u_2$ and $u_2^{\prime}$, and further point out the two main differences of them under the same value of parameters, i.e., height and location of peak line, which are demonstrated visibly in three figures.
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