TY - JOUR
T1 - Auto-Bäcklund transformation and exact solutions to the generalized Kadomtsev-Petviashvili equation with variable coefficients
AU - Huang, Ding Jiang
AU - Zhang, Hong Qing
PY - 2004/9/15
Y1 - 2004/9/15
N2 - By using the extended homogeneous balance method, & new auto-Bäcklund transformation(BT) to the generalized Kadomtsev-Petviashvili 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.
AB - By using the extended homogeneous balance method, & new auto-Bäcklund transformation(BT) to the generalized Kadomtsev-Petviashvili 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.
KW - Auto-Bäcklund transformation
KW - Exact solutions
KW - Generalized Kadomtsev-Petviashvili equation
KW - Homogeneous balance method
KW - Soliton-like solutions
UR - https://www.scopus.com/pages/publications/4644335953
U2 - 10.1088/0253-6102/42/3/325
DO - 10.1088/0253-6102/42/3/325
M3 - 文章
AN - SCOPUS:4644335953
SN - 0253-6102
VL - 42
SP - 325
EP - 328
JO - Communications in Theoretical Physics
JF - Communications in Theoretical Physics
IS - 3
ER -