TY - JOUR
T1 - Symbolic computation and construction of soliton-like solutions to the (2 + 1)-dimensional dispersive long-wave equations
AU - Chen, Yong
AU - Li, Biao
PY - 2004/4
Y1 - 2004/4
N2 - By means of a new Riccati equation expansion method, we consider the (2+1)-dimensional dispersive long-wave equations uyt + η xx + 12(u2)xy = 0, ηt + (uη+u + uxy)x = 0. As a result, we not only can successfully recover the previously known formal solutions obtained by known tanh function methods but also construct new and more general formal solutions. The solutions obtained include the nontravelling wave and coefficient functions' soliton-like solutions, singular soliton-like solutions, triangular functions solutions.
AB - By means of a new Riccati equation expansion method, we consider the (2+1)-dimensional dispersive long-wave equations uyt + η xx + 12(u2)xy = 0, ηt + (uη+u + uxy)x = 0. As a result, we not only can successfully recover the previously known formal solutions obtained by known tanh function methods but also construct new and more general formal solutions. The solutions obtained include the nontravelling wave and coefficient functions' soliton-like solutions, singular soliton-like solutions, triangular functions solutions.
KW - (2 + 1)-dimensional dispersive long-wave equation: soliton-like solutions
KW - Generalized Riccati equation expansion method
KW - Solitons
KW - Symbolic computation
UR - https://www.scopus.com/pages/publications/1242285571
U2 - 10.1016/j.ijengsci.2003.06.002
DO - 10.1016/j.ijengsci.2003.06.002
M3 - 文章
AN - SCOPUS:1242285571
SN - 0020-7225
VL - 42
SP - 715
EP - 724
JO - International Journal of Engineering Science
JF - International Journal of Engineering Science
IS - 7
ER -