New type of a generalized variable-coefficient Kadomtsev-Petviashvili equation with self-consistent sources and its Grammian-type solutions

作者：Zhang, Yi^*; Xu, Yue; Ma, Kun

来源：Communications in Nonlinear Science & Numerical Simulation, 2016, 37: 77-89.

DOI：10.1016/j.cnsns.2016.01.008

• Variable-coefficient KP equation
• Self-consistent sources
• Grammian solution
• Pfaffianization procedure
• Source generation procedure

In this paper, the variable-coefficient Kadomtsev-Petviashvili (vcKP) equation with self consistent sources is presented by two different methods, one is the source generation procedure, the other is the Pfaffianization procedure, and the solutions for the two new coupled systems are given through Grammian-type Pfaffian determinants.

• 出版日期2016-8
• 单位浙江师范大学