TY - JOUR
T1 - A new elliptic equation rational expansion method and its application to the shallow long wave approximate equations
AU - Chen, Yong
AU - Wang, Qi
PY - 2006/2/15
Y1 - 2006/2/15
N2 - A new elliptic equation rational expansion method is presented by a new general ansätz, which is a direct and unified algebraic method for constructing multiple and more general travelling wave solution for nonlinear partial differential equation and implemented in a computer algebraic system. The proposed method is applied to consider the shallow long wave approximate equation and obtains rich new families of the exact solutions, including rational form solitary wave, rational form triangular periodic, rational form Jacobi and Weierstrass doubly periodic solutions.
AB - A new elliptic equation rational expansion method is presented by a new general ansätz, which is a direct and unified algebraic method for constructing multiple and more general travelling wave solution for nonlinear partial differential equation and implemented in a computer algebraic system. The proposed method is applied to consider the shallow long wave approximate equation and obtains rich new families of the exact solutions, including rational form solitary wave, rational form triangular periodic, rational form Jacobi and Weierstrass doubly periodic solutions.
KW - Elliptic equation rational expansion method
KW - Rational form solitary wave solutions
KW - Shallow long wave approximate equation
KW - Travelling wave solution
UR - https://www.scopus.com/pages/publications/32644432015
U2 - 10.1016/j.amc.2005.04.061
DO - 10.1016/j.amc.2005.04.061
M3 - 文章
AN - SCOPUS:32644432015
SN - 0096-3003
VL - 173
SP - 1163
EP - 1182
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 2
ER -