一个带自相容源的(3+1)-维KP方程

A(3+1)-Dimensional KP Equation with Self-consistent Source

通过源生成方法构造了一个带自相容源的(3+1)-维KP方程,并利用Hirota双线性方法对其进行研究.给出了带自相容源的(3+1)-维KP方程的一组Bcklund变换,并且给出了其N孤子解和N+1孤子解.

A（3＋1）-dimensional KP equation with self-consistent source was constructed with source generation procedure,and studied by applying Hirota bilinear method.A group of Bcklund transformation of（3＋1）-dimensional KP equation with self-consistent source,N soliton solutions and N＋1 soliton solutions were given.