TY - JOUR
T1 - Bäcklund transformations and solutions of a generalized Kadomtsev - Petviashvili equation
AU - Wang, Yun Hu
AU - Chen, Yong
PY - 2012/2
Y1 - 2012/2
N2 - In this paper, the bilinear form of a generalized Kadomtsev - Petviashvili equation is obtained by applying the binary Bell polynomials. The N-soliton solution and one periodic wave solution are presented by use of the Hirota direct method and the Riemann theta function, respectively. And then the asymptotic analysis demonstrates one periodic wave solution can be reduced to one soliton solution. In the end, the bilinear Bäcklund transformations are derived.
AB - In this paper, the bilinear form of a generalized Kadomtsev - Petviashvili equation is obtained by applying the binary Bell polynomials. The N-soliton solution and one periodic wave solution are presented by use of the Hirota direct method and the Riemann theta function, respectively. And then the asymptotic analysis demonstrates one periodic wave solution can be reduced to one soliton solution. In the end, the bilinear Bäcklund transformations are derived.
KW - Bäcklund transformation
KW - N-soliton solution
KW - Riemann theta function
KW - binary Bell polynomial
KW - periodic wave solution
UR - https://www.scopus.com/pages/publications/84863182522
U2 - 10.1088/0253-6102/57/2/10
DO - 10.1088/0253-6102/57/2/10
M3 - 文章
AN - SCOPUS:84863182522
SN - 0253-6102
VL - 57
SP - 217
EP - 222
JO - Communications in Theoretical Physics
JF - Communications in Theoretical Physics
IS - 2
ER -