TY - JOUR
T1 - Uniformly constructing a series of nonlinear wave and coefficient functions' soliton solutions and double periodic solutions for the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equation
AU - Chen, Yong
AU - Wang, Qi
AU - Lang, Yanghuai
PY - 2005/3
Y1 - 2005/3
N2 - By using a new more general ansatz with the aid of symbolic computation, we extended the unified algebraic method proposed by Fan [Computer Phys. Commun. 153, 17 (2003)] and the improved extended tanh method by Yomba [Chaos, Solitons and Fractals 20, 1135 (2004)] to uniformly construct a series of soliton-like solutions and double-like periodic solutions for nonlinear partial differential equations. The efficiency of the method is demonstrated on the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equation.
AB - By using a new more general ansatz with the aid of symbolic computation, we extended the unified algebraic method proposed by Fan [Computer Phys. Commun. 153, 17 (2003)] and the improved extended tanh method by Yomba [Chaos, Solitons and Fractals 20, 1135 (2004)] to uniformly construct a series of soliton-like solutions and double-like periodic solutions for nonlinear partial differential equations. The efficiency of the method is demonstrated on the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equation.
KW - Generalized Algebraic Method
KW - Periodic Solution
KW - Solitary Wave Solution
KW - Symbolic Computation
KW - Weierstrass and Jacobi Elliptic Functions
UR - https://www.scopus.com/pages/publications/17044367070
U2 - 10.1515/zna-2005-0301
DO - 10.1515/zna-2005-0301
M3 - 文章
AN - SCOPUS:17044367070
SN - 0932-0784
VL - 60
SP - 127
EP - 138
JO - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
JF - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
IS - 3
ER -