TY - JOUR
T1 - A generalized method and general form solutions to the Whitham-Broer-Kaup equation
AU - Chen, Yong
AU - Wang, Qi
AU - Li, Biao
PY - 2004/11
Y1 - 2004/11
N2 - Based on a more general transformation presented in this paper, a generalized method for finding more types travelling wave solutions of nonlinear evolution equations (NLEEs) is presented and implemented in a computer algebraic system. As an application of the method, Whitham-Broer-Kaup (WBK) equation is studied to illustrate the method. As a result, We cannot only successfully recover the previously known travelling wave solutions found by Fan's method [J. Phys. A 35 (2002) 6853; Comput. Phys. Commun. 53 (2003) 17], but also obtain some new formal solutions. The solutions obtained in this paper include polynomial, exponential, solitary wave, rational, triangular periodic, Jacobi and Weierstrass doubly periodic solutions.
AB - Based on a more general transformation presented in this paper, a generalized method for finding more types travelling wave solutions of nonlinear evolution equations (NLEEs) is presented and implemented in a computer algebraic system. As an application of the method, Whitham-Broer-Kaup (WBK) equation is studied to illustrate the method. As a result, We cannot only successfully recover the previously known travelling wave solutions found by Fan's method [J. Phys. A 35 (2002) 6853; Comput. Phys. Commun. 53 (2003) 17], but also obtain some new formal solutions. The solutions obtained in this paper include polynomial, exponential, solitary wave, rational, triangular periodic, Jacobi and Weierstrass doubly periodic solutions.
UR - https://www.scopus.com/pages/publications/2042443769
U2 - 10.1016/j.chaos.2004.02.024
DO - 10.1016/j.chaos.2004.02.024
M3 - 文章
AN - SCOPUS:2042443769
SN - 0960-0779
VL - 22
SP - 675
EP - 682
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 3
ER -