TY - JOUR
T1 - Rational form solitary wave solutions and doubly periodic wave solutions to (1+1)-dimensional dispersive long wave equation
AU - Wang, Qi
AU - Chen, Yong
AU - Zhang, Hong Qing
PY - 2005/6/15
Y1 - 2005/6/15
N2 - In this work we devise an algebraic method to uniformly construct rational form solitary wave solutions and Jacobi and Weierstrass doubly periodic wave solutions of physical interest for nonlinear evolution equations. With the aid of symbolic computation, we apply the proposed method to solving the (1+1)-dimensional dispersive long wave equation and explicitly construct a series of exact solutions which include the rational form solitary wave solutions and elliptic doubly periodic wave solutions as special cases.
AB - In this work we devise an algebraic method to uniformly construct rational form solitary wave solutions and Jacobi and Weierstrass doubly periodic wave solutions of physical interest for nonlinear evolution equations. With the aid of symbolic computation, we apply the proposed method to solving the (1+1)-dimensional dispersive long wave equation and explicitly construct a series of exact solutions which include the rational form solitary wave solutions and elliptic doubly periodic wave solutions as special cases.
KW - (1+1)-dimensional dispersive long wave equation
KW - Elliptic equation rational expansion method
KW - Rational form Jacobi and Weierstrass doubly periodic wave solutions
KW - Rational form solitary wave solutions
KW - Symbolic computation
UR - https://www.scopus.com/pages/publications/22144442131
U2 - 10.1088/0253-6102/43/6/004
DO - 10.1088/0253-6102/43/6/004
M3 - 文章
AN - SCOPUS:22144442131
SN - 0253-6102
VL - 43
SP - 975
EP - 982
JO - Communications in Theoretical Physics
JF - Communications in Theoretical Physics
IS - 6
ER -