TY - JOUR
T1 - Explicit exact solutions for some nonlinear partial differential equations with nonlinear terms of any order
AU - Li, Biao
AU - Chen, Yong
AU - Zhang, Hongqing
PY - 2003/4
Y1 - 2003/4
N2 - In this paper, by introducing some appropriate transformation and with the help of symbolic computation, we study exact travelling wave solutions for the high-order modified Boussinesq equation, a single nonlinear reaction-diffusion equation and a generalized nonlinear Schrödinger equation with nonlinear terms of any order by use of the extended-tanh method. Thus, some new exact travelling-wave solutions, which contain kink-shaped solitons, bell-shaped solitons, periodic solutions, combined formal solitons, rational solutions and singular solitons for these equations, are obtained.
AB - In this paper, by introducing some appropriate transformation and with the help of symbolic computation, we study exact travelling wave solutions for the high-order modified Boussinesq equation, a single nonlinear reaction-diffusion equation and a generalized nonlinear Schrödinger equation with nonlinear terms of any order by use of the extended-tanh method. Thus, some new exact travelling-wave solutions, which contain kink-shaped solitons, bell-shaped solitons, periodic solutions, combined formal solitons, rational solutions and singular solitons for these equations, are obtained.
KW - Extended-tanh method
KW - Generalized nonlinear Schrödinger equation
KW - High-order modified Boussinesq equation
KW - Nonlinear reaction-diffusion equation
KW - Solitons
KW - Symbolic computation
UR - https://www.scopus.com/pages/publications/0242451052
U2 - 10.1023/A:1023488209337
DO - 10.1023/A:1023488209337
M3 - 文章
AN - SCOPUS:0242451052
SN - 0011-4626
VL - 53
SP - 283
EP - 295
JO - Czechoslovak Journal of Physics
JF - Czechoslovak Journal of Physics
IS - 4
ER -