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 Schrödinger equation for the amplitudes of the heat-flux 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.

Thermal solitons in nanotubes

Carlomagno I.
Writing – Original Draft Preparation
;
Sellitto A.
Writing – Original Draft Preparation
2022

Abstract

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 Schrödinger equation for the amplitudes of the heat-flux 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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/4798492
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