掺铒光纤系统中的多产相互作用结构和形变碰撞
Prolific interaction structures and shape-changing collisions in an erbium-doped fiber system
摘要：
从耦合非线性薛定谔方程和麦克斯韦-布洛赫方程的一般高阶解中提取共存条件，揭示了掺铒光纤系统中非线性波与平面波背景的大量相互作用.与以往的研究结果相比，本文的研究结果表明，丰富的不同类型的非线性波可以共存并相互作用。特别地，我们揭示了一种有趣的形状变化的碰撞，其中的多峰孤子表现出强度重新分布的特性。这种相互作用既包括多峰孤子之间的相互碰撞，也包括多峰孤子与其他类型的局域非线性波（呼吸子和反暗孤子）的相互作用。通过对平面波背景下光脉冲能量的最优数值积分，我们发现形变碰撞保持了每个多峰孤子的能量。我们的结果表明，当相互作用发生时，每个多峰孤子表现出形状变化和能量守恒的共存。
英文摘要：
Prolific interactions of nonlinear waves on a plane-wave background in an erbium-doped fiber system are unveiled, based on explicit coexistence conditions extracting from the general higher-order solution of a coupled nonlinear Schrödinger and the Maxwell-Bloch equations. In contrast to previous results, it shows that rich different types of nonlinear waves can coexist and interact with each other. In particular, we reveal an interesting kind of shape-changing collision, in which the multi-peak solitons exhibit intensity redistribution characteristics. This interaction involves the mutual collision between multi-peak solitons as well as the interplay of multi-peak soliton and other types of localized nonlinear waves (breather and antidark soliton). We find that the shape-changing collision preserves the power of each multi-peak soliton, which is verified via optimal numerical integration for the energy of light pulse against the plane-wave background. Our results demonstrate that when the interactions occur, each multi-peak soliton exhibits the coexistence of the shape change and energy conservation.
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