منابع مشابه
Existence and stability of accelerating solitons in sliding-frequency filter systems.
Sliding-frequency filter systems are known to admit two families of accelerating solitons: high-amplitude and low-amplitude families. Such equilibrium solutions are computed here, for a wide range of filter strengths, as self-similar solutions having Airy function asymptotics. In a limited parameter region, the profile possesses a secondary small hump. The high-amplitude solitons are found to b...
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Sine-Gordon (SG) models with variable mass or perturbed soliton appear in many physical situations, which however breaks the integrability of the model. A class of such inhomogeneous models with accelerating and shape changing solitons is constructed, which are integrable both at the classical and the quantum level with exact solutions. PACS: 05.45.Yv,03.65.Fd,11.10.Lm,11.55.Ds Among the exclus...
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PACS: 02.30.lk, 02.30.jr, 05.45.Yv, 11.10.Lm,
متن کاملShape changing and accelerating solitons in the integrable variable mass sine-gordon model.
The sine-Gordon model with a variable mass (VMSG) appears in many physical systems, ranging from the current through a nonuniform Josephson junction to DNA-promoter dynamics. Such models are usually nonintegrable with solutions found numerically or perturbatively. We construct a class of VMSG models, integrable at both the classical and the quantum levels with exact soliton solutions, which can...
متن کاملInteractions of Airy beams, nonlinear accelerating beams, and induced solitons in Kerr and saturable nonlinear media.
We investigate numerically interactions between two in-phase or out-of-phase Airy beams and nonlinear accelerating beams in Kerr and saturable nonlinear media in one transverse dimension. We discuss different cases in which the beams with different intensities are launched into the medium, but accelerate in opposite directions. Since both the Airy beams and nonlinear accelerating beams possess ...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2020
ISSN: 2470-0010,2470-0029
DOI: 10.1103/physrevd.102.125002