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
SN - 0375-9601
VL - 429
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
M1 - 127967
ER -