Several Variable-coefficient KP Equations With Self-consistent Sources

This thesis is mainly focused on applying Hirota bilinear method to the variable-coefficient KP equation with self-consistent sources and the Pfaffianized VKP coupled system. First, the variable-coefficient KP equation is transformed into bilinear forms by introducing logarithm transformation. Secondly, we study the Hirota bilinear equation. We construct the new type and mixed variable-coefficient KP equation by applying the source generation procedure. At last, we study the Pfaffianized VKP couple system.