TY - JOUR
T1 - Exact solutions for a new class of nonlinear evolution equations with nonlinear term of any order
AU - Chen, Yong
AU - Li, Biao
AU - Zhang, Hongqing
PY - 2003/8
Y1 - 2003/8
N2 - In this paper, we consider a new class of nonlinear partial differential equations with nonlinear term of any order, utt+a1uxx+a2u+a3up +a4u2p-1 = 0, which contains some particular important equations. We give a new kind of transformation and a new generalized ansätze to treat this class of equations. As a result, many explicit exact solutions, which contain new kink-profile solitary-wave solutions, bell-profile solitary-wave solutions, periodic wave solutions and combined formal solitary-wave solutions, are obtained by the extended method. In addition, we also can derive rational solutions for this class of equations.
AB - In this paper, we consider a new class of nonlinear partial differential equations with nonlinear term of any order, utt+a1uxx+a2u+a3up +a4u2p-1 = 0, which contains some particular important equations. We give a new kind of transformation and a new generalized ansätze to treat this class of equations. As a result, many explicit exact solutions, which contain new kink-profile solitary-wave solutions, bell-profile solitary-wave solutions, periodic wave solutions and combined formal solitary-wave solutions, are obtained by the extended method. In addition, we also can derive rational solutions for this class of equations.
UR - https://www.scopus.com/pages/publications/0037411688
U2 - 10.1016/S0960-0779(02)00482-4
DO - 10.1016/S0960-0779(02)00482-4
M3 - 文章
AN - SCOPUS:0037411688
SN - 0960-0779
VL - 17
SP - 675
EP - 682
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 4
ER -