Auto-Backlund transformation and exact solutions to the generalized Kadomtsev-Petviashvili equation with variable coefficients

作者：Huang DJ^*; Zhang HQ

来源：Communications in Theoretical Physics, 2004, 42(3): 325-328.

• generalized Kadomtsev-Petviashvili equation
• auto-Backlund transformation
• exact solutions
• soliton-like solutions
• homogeneous balance method

By using the extended homogeneous balance method, a new auto-Backlund transformation (BT) to the generalized Kadomtsev-Petviashviii equation with variable coefficients (VCGKP) are obtained. And making use of the auto-BT and choosing a special seed solution, we get many families of new exact solutions of the VCGKP equations, which include single soliton-like solutions, multi-soliton-like solutions, and special-soliton-like solutions. Since the KP equation and cylindrical KP equation are all special cases of the VCGKP equation, and the corresponding results of these equations are also given respectively.

• 出版日期2004-9-15
• 单位大连理工大学