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Abstract <p> We asymptotically obtain a generalized Schrödinger equation for nonlinear deformation waves in a metamaterial. It turns out to be analogous to the Sasa–Satsuma equation derived for optical waves. We study distinctions in the solution in the form of localized deformation waves related to the generalization of the Schrödinger equation. </p>

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Generalized nonlinear Schrödinger equation for longitudinal deformation waves in an acoustic metamaterial

  • 期刊论文

  • 发表日期：

    2025年9月26日

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  • A. V. Porubov

摘要

Abstract

We asymptotically obtain a generalized Schrödinger equation for nonlinear deformation waves in a metamaterial. It turns out to be analogous to the Sasa–Satsuma equation derived for optical waves. We study distinctions in the solution in the form of localized deformation waves related to the generalization of the Schrödinger equation.