TY - JOUR
T1 - Auto-bäcklund transformations and exact solutions for some nonlinear partial differential equations with nonlinear terms of any order
AU - Li, Biao
AU - Chen, Yong
AU - Zhang, Hongqing
PY - 2004/2
Y1 - 2004/2
N2 - In this paper, by introducing some proper transformations, the applied range of the homogenous balance (HB) method is extended. With the help of Mathematica, we obtain three auto-Bäcklund transformations (BT) for the generalized Fithugh-Nagumo equation, the generalized Burgers-Fisher equation, the generalized Burgers-Huxley equation, respectively, by use of the extended HB method. From these BTs, some exact solutions for these equations are derived.
AB - In this paper, by introducing some proper transformations, the applied range of the homogenous balance (HB) method is extended. With the help of Mathematica, we obtain three auto-Bäcklund transformations (BT) for the generalized Fithugh-Nagumo equation, the generalized Burgers-Fisher equation, the generalized Burgers-Huxley equation, respectively, by use of the extended HB method. From these BTs, some exact solutions for these equations are derived.
KW - Bäcklund transformation
KW - Generalized Burgers-Fisher equation
KW - Generalized Burgers-Huxley equation
KW - Generalized Fithugh-Nagumo equation
KW - Homogenous balance method
KW - Solitons
KW - Symbolic computation
UR - https://www.scopus.com/pages/publications/3042644430
U2 - 10.1023/B:CJOP.0000014399.22665.ef
DO - 10.1023/B:CJOP.0000014399.22665.ef
M3 - 文章
AN - SCOPUS:3042644430
SN - 0011-4626
VL - 54
SP - 167
EP - 176
JO - Czechoslovak Journal of Physics
JF - Czechoslovak Journal of Physics
IS - 2
ER -