TY - JOUR
T1 - New exact travelling wave solutions for the shallow long wave approximate equations
AU - Wang, Qi
AU - Chen, Yong
AU - Li, Biao
AU - Zhang, Hongqing
PY - 2005/1/5
Y1 - 2005/1/5
N2 - Based upon a generally projective Riccati equation method, which is a direct and unified algebraic method for constructing more general form travelling wave solutions of nonlinear partial differential equations and implemented in a computer algebraic system, we consider the shallow long wave approximate equations. New and more general form solutions are obtained, including kink-shaped solitons, bell-shaped solitons, singular solitons and periodic solutions. The properties of the new formal solitary wave solutions are shown by some figures.
AB - Based upon a generally projective Riccati equation method, which is a direct and unified algebraic method for constructing more general form travelling wave solutions of nonlinear partial differential equations and implemented in a computer algebraic system, we consider the shallow long wave approximate equations. New and more general form solutions are obtained, including kink-shaped solitons, bell-shaped solitons, singular solitons and periodic solutions. The properties of the new formal solitary wave solutions are shown by some figures.
KW - Exact solutions
KW - Projective Riccati equation method
KW - Shallow long wave approximate equation
UR - https://www.scopus.com/pages/publications/8344237474
U2 - 10.1016/j.amc.2003.08.053
DO - 10.1016/j.amc.2003.08.053
M3 - 文章
AN - SCOPUS:8344237474
SN - 0096-3003
VL - 160
SP - 77
EP - 88
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 1
ER -