Soliton molecules in Sharma-Tasso-Olver-Burgers equation
Soliton molecules in Sharma-Tasso-Olver-Burgers equation
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DOI：
10.1016/j.aml.2020.106271
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发表时间：
2019-12
期刊：
影响因子：
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通讯作者：
Zhaowen Yan;S. Lou
中科院分区：
文献类型：
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作者：
Zhaowen Yan;S. Lou
孤子分子是孤子的束缚态，在光学中已被实验发现，并在耦合系统中得到了理论研究。这封信是关于孤子分子的形成的共振机制的非耦合系统，Sharma-Tasso-Olver-Burgers（STOB）方程。通过引入速度共振条件，导出了STOB方程的孤子（扭结）分子、半周期扭结（HPK）分子和呼吸孤子分子。此外，还揭示了扭结分子和HPK分子之间的裂变和熔合现象。
Soliton molecules which are the bound states of solitons have been experimentally discovered in optics and theoretically investigated for coupled systems. This Letter is concerned with the formation of soliton molecules by the resonant mechanism for a noncoupled system, the Sharma–Tasso–Olver–Burgers (STOB) equation. In terms of introducing velocity resonance conditions, we derive the soliton (kink) molecules, half periodic kink (HPK) molecules and breathing soliton molecules of STOB equation. Moreover, the fission and fusion phenomena among kink molecules and HPK molecules have been revealed.