Department of Computer Science
New type of nonisospectral KP equation with self-consistent sources and its bilinear Bäcklund transformation
A new type of the nonisospectral KP equation with self-consistent sources is constructed by using the source generation procedure. A new feature of the obtained nonisospectral system is that we allow y-dependence of the arbitrary constants in the determinantal solution for the nonisospectral KP equation. In order to further show integrability of the novel nonisospectral KP equation with self-consistent sources, we give a bilinear Bäcklund transformation. © 2011 The Author(s).
Bäcklund transformation, Nonisospectral KP equation, soliton solution, source generation procedure
Source Publication Title
Journal of Nonlinear Mathematical Physics
Taylor & Francis
Sun, Ye-Peng, and Hon-Wah Tam. "New type of nonisospectral KP equation with self-consistent sources and its bilinear Bäcklund transformation." Journal of Nonlinear Mathematical Physics 18.2 (2011): 323-336.