TY - JOUR
T1 - Soliton fission and fusion
T2 - Burgers equation and Sharma-Tasso-Olver equation
AU - Wang, Song
AU - Tang, Xiao Yan
AU - Lou, Sen Yue
PY - 2004/7
Y1 - 2004/7
N2 - Fission and fusion phenomena can happen for solitons (sometimes solitary waves may be more accurate) which have been recently discovered both theoretically and experimentally. In this paper, taking the Burgers equation and the Sharma-Tasso-Olver equation as two concrete examples to show the fission and fusion of the solitary wave and the soliton solutions respectively which are studied by means of the Hirota's direct method and the Bäcklund transformation. Furthermore, the amplitude and velocity relations between solitons and/or solitary waves before and after interactions are given and a possible general condition for fission and/or fusion is proposed.
AB - Fission and fusion phenomena can happen for solitons (sometimes solitary waves may be more accurate) which have been recently discovered both theoretically and experimentally. In this paper, taking the Burgers equation and the Sharma-Tasso-Olver equation as two concrete examples to show the fission and fusion of the solitary wave and the soliton solutions respectively which are studied by means of the Hirota's direct method and the Bäcklund transformation. Furthermore, the amplitude and velocity relations between solitons and/or solitary waves before and after interactions are given and a possible general condition for fission and/or fusion is proposed.
UR - https://www.scopus.com/pages/publications/0942266811
U2 - 10.1016/j.chaos.2003.10.014
DO - 10.1016/j.chaos.2003.10.014
M3 - 文章
AN - SCOPUS:0942266811
SN - 0960-0779
VL - 21
SP - 231
EP - 239
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 1
ER -