Dynamics of the Davydov–Scott soliton with location or velocity mismatch of its high-frequency component

• Published in: Physics letters. A Vol. 381; no. 17; pp. 1490 - 1492
• Main Authors: Blyakhman, L.G., Gromov, E.M., Onosova, I.V., Tyutin, V.V.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 03-05-2017
• Subjects: Dispersion; Korteweg–de Vries equation; Linear Schrödinger equation; Nonlinearity; Numerical simulation; Soliton; Soliton; Nonlinearity; Numerical simulation; Linear Schrödinger equation; Dispersion; Korteweg–de Vries equation
• ISSN: 0375-9601; 1873-2429
• DOI: 10.1016/j.physleta.2017.02.043

The dynamics of a two-component Davydov–Scott (DS) soliton with a small mismatch of the initial location or velocity of the high-frequency (HF) component was investigated within the framework of the Zakharov-type system of two coupled equations for the HF and low-frequency (LF) fields. In this system, the HF field is described by the linear Schrödinger equation with the potential generated by the LF component varying in time and space. The LF component in this system is described by the Korteweg–de Vries equation with a term of quadratic influence of the HF field on the LF field. The frequency of the DS soliton's component oscillation was found analytically using the balance equation. The perturbed DS soliton was shown to be stable. The analytical results were confirmed by numerical simulations.
•The dynamics of the Davydov–Scott soliton with initial location or velocity mismatch of the HF component was investigated.•The study was performed within the framework of coupled linear Schrödinger and KdV equations for the HF and LF fields.•Analytical and numerical approaches were used.•The frequency of the DS soliton component oscillation was found.•Stability of the perturbed DS solitons was demonstrated.