(2+1)维BKP方程的Lump解

Lump solutions to the( 2 + 1)-BKP equation

利用非线性叠加公式、Backlund变换(BT)和Maple软件,可求得(2+1)维BKP方程的一类Lump解,每个解包含六个参数,其中两个参数是独立变量,其余四个参数需要满足一些条件来保证其Lump解具有非奇异性。

In this paper, according to the nonlinear superposition formula, the Backlund transformation （BT） and maple software, It gets a general classes of lump solutions of the （2 ＋ 1 ） - dimensional BKP equation. Each solution has six parameters, two of which are due to the translation invariances of the BKP equation with the independent variables, and the other four of which satisfy- some of the necessacy conditions and the positivity.