TY - JOUR

T1 - Hamiltonian approach to the soliton-soliton interaction and for a classical solitonic gas

AU - Quispe-Flores, Luzmila A.

AU - Urzagasti, Deterlino

N1 - Publisher Copyright:
© 2022 Elsevier B.V.

PY - 2022/3/30

Y1 - 2022/3/30

N2 - The known stationary solutions of the parametrically driven and damped nonlinear Schrödinger equation (PDDNLS) have been used to calculate the interaction potential and the interaction law of pairs of solitons from a strictly theoretical point of view. In agreement with the numerical simulations reported in the literature, our results reveal that the phase difference between solitons plays an important role in their dynamics (this can be either zero or π), and that the two-soliton interaction is very weak and exponential type. Finally, the model was applied to a solitonic gas to find its thermodynamics and numerical simulations were also performed to study the dynamics of this gas.

AB - The known stationary solutions of the parametrically driven and damped nonlinear Schrödinger equation (PDDNLS) have been used to calculate the interaction potential and the interaction law of pairs of solitons from a strictly theoretical point of view. In agreement with the numerical simulations reported in the literature, our results reveal that the phase difference between solitons plays an important role in their dynamics (this can be either zero or π), and that the two-soliton interaction is very weak and exponential type. Finally, the model was applied to a solitonic gas to find its thermodynamics and numerical simulations were also performed to study the dynamics of this gas.

KW - Hamiltonian formalism

KW - Nonlinear dynamics

KW - Soliton interaction

KW - Solitons

KW - Statistical mechanics

UR - http://www.scopus.com/inward/record.url?scp=85123709542&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2022.127967

DO - 10.1016/j.physleta.2022.127967

M3 - Artículo

AN - SCOPUS:85123709542

VL - 429

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

M1 - 127967

ER -