BACKLUND TRANSFORMATION OF A NON-ISOSPECTRAL KPESCS AND ITS NONLINEAR COUPLED SYSTEM

作者：Sun, Ye Peng^*; Yu, Guo Fu

来源：Modern Physics Letters B, 2009, 23(30): 3581-3595.

DOI：10.1142/S0217984909021636

• Non-isospectral KP equation
• Backlund transformation
• source generation procedure
• self-consistent sources
• Gramm-type determinant solution
• nonlinear coupled system

A non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources (KPESCS) is first derived by using the source generation procedure. Moreover, its bilinear Backlund transformation is obtained. Furthermore, a new nonlinear coupled system of the non-isospectral KPESCS and its exact solutions are established. The new coupled system cannot only be reduced to the non-isospectral KPESCS but can also be reduced to the coupled non-isospectral KP equation.

• 出版日期2009-12-10
• 单位上海交通大学; 山东财经大学