Department of Theoretical Physics, Institute of Physics DFRC of RAS, Makhachkala 367003, Russia.
Chaos. 2023 Feb;33(2):023101. doi: 10.1063/5.0124840.
The dynamics of envelope solitons in a system of coupled anharmonic chains are addressed. Mathematically, the system is equivalent to the vector soliton propagation model in a single-mode fiber with low birefringence in the presence of coherent and incoherent interactions. It is numerically and analytically shown that multi-component soliton entries can behave as free scalar solitons with arbitrary velocities and amplitudes. The appropriate exact multi-soliton solutions are provided. They can be presented as a linear interference of degenerate vector solitons known before. Furthermore, the interference idea is transferred to other vector integrable systems, including the Manakov model.
本文研究了耦合非谐链系统中的包络孤子动力学。从数学角度讲,该系统等效于低双折射单模光纤中矢量孤子传播模型,同时存在相干和非相干相互作用。数值和解析结果表明,多分量孤子输入可以表现为具有任意速度和幅度的自由标量孤子。文中给出了合适的精确多孤子解,它们可以表示为以前已知的简并矢量孤子的线性干涉。此外,该干涉思想还被推广到其他矢量可积系统,包括 Manakov 模型。