Soliton fission and fusion: Burgers equation and Sharma-Tasso-Olver equation
Soliton fission and fusion: Burgers equation and Sharma-Tasso-Olver equation
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DOI：
10.1016/j.chaos.2003.10.014
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发表时间：
2004-07
影响因子：
7.8
通讯作者：
Song Wang;Xiao-yan Tang;S. Lou
中科院分区：
文献类型：
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作者：
Song Wang;Xiao-yan Tang;S. Lou
最近在理论和实验上发现的孤子（有时孤子波可能更准确）可以发生裂变和聚变现象。本文以Burgers方程和Sharma-Tasso-Olver方程为具体例子，分别用Hirota直接法和Bäcklund变换研究了孤立波的裂变和聚变以及孤子解。此外，给出了相互作用前后孤子和/或孤子波之间的振幅和速度关系，并提出了可能发生裂变和/或聚变的一般条件。
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.