【摘要】 把（2+1）维修正Kadomtsev-Petvishivili方程分解成Kaup-Newell族的两个（1+1）维孤子方程组。利用Kaup-Newell族的线性谱问题，为这两个（1+1）维孤子方程组构造了新的Darboux变换。应用Darboux变换和分解式，求得修正Kadomtsev-Petvishivili方程的一些孤子解。更多还原

【Abstract】 The(2+1)dimensional modified Kadomtsev-Petvishivili equation is decomposed into two known(1+1) dimensional soliton systems in the Kaup-Newell hierarchy. A new N-fold Darboux transformation of the two known(1+1)dimensional soliton systems is derived with the help of a gauge transformation of the Kaup-Newell hierarchy. As an application of the Darboux transformation and the decomposition,some soliton solutions of the(2+1)dimensional modified Kadomtsev-Petvishivili equation are presented in the paper.更多还原