A new general variable-coefficient KP equation with self-consistent sources and its Grammian solutions is obtained by using the source generation procedure. Moreover, by applying the Pfaffianization procedure, a new coupled variable-coefficient KP equation is constructed. Its Wronski-type Pfaffian solution and Gramm-type Pfaffian solution are given. At last, a new integrable system of the general variable-coefficient KP equation with self-consistent sources is established.
|Journal||Journal of Mathematical Physics|
|Publication status||Published - 11 Jul 2011|
Scopus Subject Areas
- Statistical and Nonlinear Physics
- Mathematical Physics