TY - JOUR
T1 - The extended Riccati equation mapping method for variable-coefficient diffusion-reaction and mKdV equations
AU - Guo, Shimin
AU - Mei, Liquan
AU - Zhou, Yubin
AU - Li, Chao
PY - 2011/3/1
Y1 - 2011/3/1
N2 - In this paper, the extended Riccati equation mapping method is proposed to seek exact solutions of variable-coefficient nonlinear evolution equations. Being concise and straightforward, this method is applied to certain type of variable-coefficient diffusion-reaction equation and variable-coefficient mKdV equation. By means of this method, hyperbolic function solutions and trigonometric function solutions are obtained with the aid of symbolic computation. It is shown that the proposed method is effective, direct and can be used for many other variable-coefficient nonlinear evolution equations.
AB - In this paper, the extended Riccati equation mapping method is proposed to seek exact solutions of variable-coefficient nonlinear evolution equations. Being concise and straightforward, this method is applied to certain type of variable-coefficient diffusion-reaction equation and variable-coefficient mKdV equation. By means of this method, hyperbolic function solutions and trigonometric function solutions are obtained with the aid of symbolic computation. It is shown that the proposed method is effective, direct and can be used for many other variable-coefficient nonlinear evolution equations.
KW - Extended Riccati equation mapping method
KW - Nonlinear evolution equations
KW - Variable-coefficient diffusion-reaction equation
KW - Variable-coefficient mKdV equation
UR - https://www.scopus.com/pages/publications/79952006478
U2 - 10.1016/j.amc.2010.12.116
DO - 10.1016/j.amc.2010.12.116
M3 - 文章
AN - SCOPUS:79952006478
SN - 0096-3003
VL - 217
SP - 6264
EP - 6272
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 13
ER -