TY - JOUR
T1 - Links between some (2 + 1)-dimensional nonlinear evolution equations and Painlevé-II equations
AU - Jianqin, Mei
AU - Dingjiang, Huang
AU - Hongqing, Zhang
PY - 2009/11
Y1 - 2009/11
N2 - Using the idea of transformation, some links between (2 + 1)-dimensional nonlinear evolution equations and the ordinary differential equations Painlevé-II equations has been illustrated. The Kadomtsev-Petviashvili (KP) equation, generalized (2 + 1)-dimensional break soliton equation and (2 + 1)-dimensional Boussinesq equation are researched. As a result, some new interesting results about these (2 + 1)-dimensional PDEs have been obtained, such as the exact solutions with arbitrary functions, rich rational solutions and the nontrivial Bäcklund transformations have been derived.
AB - Using the idea of transformation, some links between (2 + 1)-dimensional nonlinear evolution equations and the ordinary differential equations Painlevé-II equations has been illustrated. The Kadomtsev-Petviashvili (KP) equation, generalized (2 + 1)-dimensional break soliton equation and (2 + 1)-dimensional Boussinesq equation are researched. As a result, some new interesting results about these (2 + 1)-dimensional PDEs have been obtained, such as the exact solutions with arbitrary functions, rich rational solutions and the nontrivial Bäcklund transformations have been derived.
KW - (2 + 1)-Dimensional nonlinear evolution equations
KW - Bäcklund transformation
KW - Rational solution
KW - The second Painlevé equation
UR - https://www.scopus.com/pages/publications/67349205022
U2 - 10.1016/j.cnsns.2009.02.026
DO - 10.1016/j.cnsns.2009.02.026
M3 - 文章
AN - SCOPUS:67349205022
SN - 1007-5704
VL - 14
SP - 3798
EP - 3803
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
IS - 11
ER -