TY - JOUR
T1 - Symbolic Computation and Construction of Soliton-Like Solutions to the (2+1)-Dimensional Breaking Soliton Equation
AU - Chen, Yong
AU - Li, Biao
AU - Zhang, Hong Qing
PY - 2003/8/15
Y1 - 2003/8/15
N2 - Based on the computerized symbolic system Maple, a new generalized expansion method of Riccati equation for constructing non-travelling wave and coefficient functions' soliton-like solutions is presented by a new general ansätz. Making use of the method, we consider the (2+1)-dimensional breaking soliton equation, ut + buxxy + 4buvx + 4buxv = 0, uy = vx, and obtain rich new families of the exact solutions of the breaking soliton equation, including the non-travelling wave and constant function soliton-like solutions, singular soliton-like solutions, and triangular function solutions.
AB - Based on the computerized symbolic system Maple, a new generalized expansion method of Riccati equation for constructing non-travelling wave and coefficient functions' soliton-like solutions is presented by a new general ansätz. Making use of the method, we consider the (2+1)-dimensional breaking soliton equation, ut + buxxy + 4buvx + 4buxv = 0, uy = vx, and obtain rich new families of the exact solutions of the breaking soliton equation, including the non-travelling wave and constant function soliton-like solutions, singular soliton-like solutions, and triangular function solutions.
KW - Breaking soliton equation
KW - Generalized expansion method of Riccati equation
KW - Soliton-like solutions
KW - Solitons
KW - Symbolic computation
UR - https://www.scopus.com/pages/publications/0242558304
U2 - 10.1088/0253-6102/40/2/137
DO - 10.1088/0253-6102/40/2/137
M3 - 文章
AN - SCOPUS:0242558304
SN - 0253-6102
VL - 40
SP - 137
EP - 142
JO - Communications in Theoretical Physics
JF - Communications in Theoretical Physics
IS - 2
ER -