TY - JOUR
T1 - Bäcklund transformation and exact solutions for a new generalized Zakharov-Kuzentsov equation with nonlinear terms of any order
AU - Chen, Yong
AU - Li, Biao
AU - Zhang, Hong Qing
PY - 2003/3/15
Y1 - 2003/3/15
N2 - In this paper, with the help of symbolic computation, a new Bäcklund transformation (BT) for a new generalized Zakharov-Kuznetsov equation with nonlinear term of any order, ut+aupux+bu2pux+γu xy-δuxxx+ρuxyy= 0, is obtained by using the homogeneous balance method. Based on the BT, some exact solutions are presented.
AB - In this paper, with the help of symbolic computation, a new Bäcklund transformation (BT) for a new generalized Zakharov-Kuznetsov equation with nonlinear term of any order, ut+aupux+bu2pux+γu xy-δuxxx+ρuxyy= 0, is obtained by using the homogeneous balance method. Based on the BT, some exact solutions are presented.
KW - Bäcklund transformation
KW - Explicit exact solution
KW - Generalized Zakharov-Kuznetsov equation
KW - Homogeneous balance method
KW - Mathematica
KW - Symbolic computation
UR - https://www.scopus.com/pages/publications/0037821752
U2 - 10.1088/0253-6102/39/2/135
DO - 10.1088/0253-6102/39/2/135
M3 - 文章
AN - SCOPUS:0037821752
SN - 0253-6102
VL - 39
SP - 135
EP - 140
JO - Communications in Theoretical Physics
JF - Communications in Theoretical Physics
IS - 2
ER -