TY - JOUR
T1 - A new generalization of extended tanh-function method for solving nonlinear evolution equations
AU - Zheng, Xue Dong
AU - Chen, Yong
AU - Li, Biao
AU - Zhang, Hong Qing
PY - 2003/6/15
Y1 - 2003/6/15
N2 - Making use of a new generalized ansätze and a proper transformation, we generalized the extended tanh-function method. Applying the generalized method with the aid of Maple, we consider some nonlinear evolution equations. As a result, we can successfully recover the previously known solitary wave solutions that had been found by the extended tanh-function method and other more sophisticated methods. More importantly, for some equations, we also obtain other new and more general solutions at the same time. The results include kink-profile solitary-wave solutions, bell-profile solitary-wave solutions, periodic wave solutions, rational solutions, singular solutions and new formal solutions.
AB - Making use of a new generalized ansätze and a proper transformation, we generalized the extended tanh-function method. Applying the generalized method with the aid of Maple, we consider some nonlinear evolution equations. As a result, we can successfully recover the previously known solitary wave solutions that had been found by the extended tanh-function method and other more sophisticated methods. More importantly, for some equations, we also obtain other new and more general solutions at the same time. The results include kink-profile solitary-wave solutions, bell-profile solitary-wave solutions, periodic wave solutions, rational solutions, singular solutions and new formal solutions.
KW - Exact solutions
KW - Nonlinear evolution equations
KW - Riccati equation
KW - Symbolic computation
UR - https://www.scopus.com/pages/publications/0038168174
U2 - 10.1088/0253-6102/39/6/647
DO - 10.1088/0253-6102/39/6/647
M3 - 文章
AN - SCOPUS:0038168174
SN - 0253-6102
VL - 39
SP - 647
EP - 652
JO - Communications in Theoretical Physics
JF - Communications in Theoretical Physics
IS - 6
ER -