TY - JOUR
T1 - Uto-Bäcklund Transformations and Exact Solutions for the Generalized Two-Dimensional Korteweg-de Vries-Burgers-type Equations and Burgers-type Equations
AU - Li, Biao
AU - Chen, Yong
AU - Zhang, Hongqing
PY - 2003/8
Y1 - 2003/8
N2 - In this paper, based on the idea of the homogeneous balance method and with the help of Mathematica, we obtain a new auto-Backlund transformation for the generalized two-dimensional Korteweg- de Vries-Burgers-type equation and a new auto-Backlund transformation for the generalized two-dimensional Burgers-type equation by introducing two appropriate transformations. Then, based on these two auto-Backlund transformation, some exact solutions for these equations are derived. Some figures are given to show the properties of the solutions.
AB - In this paper, based on the idea of the homogeneous balance method and with the help of Mathematica, we obtain a new auto-Backlund transformation for the generalized two-dimensional Korteweg- de Vries-Burgers-type equation and a new auto-Backlund transformation for the generalized two-dimensional Burgers-type equation by introducing two appropriate transformations. Then, based on these two auto-Backlund transformation, some exact solutions for these equations are derived. Some figures are given to show the properties of the solutions.
KW - Auto-Backlund transformation
KW - Homogeneous balance method
KW - Mathematica
KW - Solitary-wave solution
KW - Two-dimensional Burgers-type equation
KW - Two-dimensional Korteweg-de Vries-Burgers-type equation
UR - https://www.scopus.com/pages/publications/0141455985
U2 - 10.1515/zna-2003-7-813
DO - 10.1515/zna-2003-7-813
M3 - 文章
AN - SCOPUS:0141455985
SN - 0932-0784
VL - 58
SP - 464
EP - 472
JO - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
JF - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
IS - 7-8
ER -