TL;DR
This paper explores the nonlinear dynamics of extremely short transverse acoustic pulses in low-temperature crystals with paramagnetic impurities, revealing new types of acoustic solitons described by a modified sine-Gordon equation.
Contribution
It introduces a new application of the modified sine-Gordon equation to describe novel acoustic solitons in a specific physical setting.
Findings
Identification of different kinds of acoustic solitons.
Application of the modified sine-Gordon equation to acoustic pulse propagation.
Analysis of nonlinear strain and spin dynamics.
Abstract
We find that the modified sine-Gordon equation belonging to the class of the soliton equations describes the propagation of extremely short transverse acoustic pulses through the low-temperature crystal containing paramagnetic impurities with effective spin S=1/2 in the Voigt geometry case. The features of nonlinear dynamics of strain field and effective spins, which correspond to the different kinds of acoustic solitons, are studied.
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