TY - JOUR
T1 - Nonlinear Partial Differential Equations Solved by Projective Riccati Equations Ansatz
AU - Li, Biao
AU - Chen, Yong
PY - 2003
Y1 - 2003
N2 - Based on the general projective Riccati equations method and symbolic computation, some new exact travelling wave solutions are obtained for a nonlinear reaction-diffusion equation, the high-order modified Boussinesq equation and the variant Boussinesq equation. The obtained solutions contain solitary waves, singular solitary waves, periodic and rational solutions. From our results, we can not only recover the known solitary wave solutions of these equations found by existing various tanh methods and other sophisticated methods, but also obtain some new and more general travelling wave solutions.
AB - Based on the general projective Riccati equations method and symbolic computation, some new exact travelling wave solutions are obtained for a nonlinear reaction-diffusion equation, the high-order modified Boussinesq equation and the variant Boussinesq equation. The obtained solutions contain solitary waves, singular solitary waves, periodic and rational solutions. From our results, we can not only recover the known solitary wave solutions of these equations found by existing various tanh methods and other sophisticated methods, but also obtain some new and more general travelling wave solutions.
KW - General Projective Riccati Equations Method
KW - Nonlinear Partial Differential Equation
KW - Symbolic Computation
KW - Travelling Wave Solution
UR - https://www.scopus.com/pages/publications/0242660066
U2 - 10.1515/zna-2003-9-1007
DO - 10.1515/zna-2003-9-1007
M3 - 文章
AN - SCOPUS:0242660066
SN - 0932-0784
VL - 58
SP - 511
EP - 519
JO - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
JF - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
IS - 9-10
ER -