在Jacobi正弦周期波背景下的dromion孤立波及其演化

Dromion soliton waves and the their evolution in the background of Jacobi sine waves

利用改进的Riccati方程映射法、Backlund变换法和变量分离法,得到了(2+1)维广义Breor-Kaup(GBK)方程的新显式精确解.根据得到的解,找到了GBK方程的复合波,并进一步研究了在Jacobi正弦周期波背景下dromion孤立波的演化.

By an improved mapping approach, Bǎcklund transformation approach and a variable separation approach, a series of excitations of the （2 ＋ 1）-dimensional generalized Breor-Kaup （GBK） system is derived. Based on the derived excitations, we find some complex waves of GBK equation. Then we discussed the evolution of dromion solitions in the background of the Jacobi sine waves.