Thermal solitons in nanotubes

Starting from a recent proposal of a nonlinear Maxwell-Cattaneo equation for the heat transport with relaxational effects at nanoscale, in a special case of thermal-wave propagation we derive a nonlinear Schrodinger equation for the amplitudes of the heatflux perturbation. The complete integrability of the obtained equation is investigated in order to prove the existence of infinite conservation laws, as well as the existence of infinite exact solutions. In this regards, we have considered the simplest nontrivial solutions, namely, the bright and dark (thermal) solitons, which may be interesting for energy transport and for information transmission in phononic circuits. (c) 2022 Elsevier B.V. All rights reserved.

Automated summary

Starting from a proposal of a nonlinear Maxwell-Cattaneo equation for heat transport at the nanoscale, this study derives a nonlinear Schrodinger equation for the amplitudes of heatflux perturbation in a special case of thermal-wave propagation. The complete integrability of the obtained equation is investigated to demonstrate the existence of infinite conservation laws and exact solutions. The study focuses on the simplest nontrivial solutions, bright and dark (thermal) solitons, which have potential applications in energy transport and information transmission in phononic circuits.