Ulam model for the sine-Gordon soliton system

F. Kh. Abdullaev, S. A. Darmanyan, and B. A. Umarov
Phys. Rev. A 41, 4498 – Published 1 April 1990
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Abstract

The Ulam model analog of the Fermi acceleration for the sine-Gordon solitons is investigated. The motion of soliton between two potential walls, one of which is periodically oscillating, is studied. With the help of the Melnikov method the expression for the threshold of stochasticity in soliton motion is found.

  • Received 3 November 1989

DOI:https://doi.org/10.1103/PhysRevA.41.4498

©1990 American Physical Society

Authors & Affiliations

F. Kh. Abdullaev, S. A. Darmanyan, and B. A. Umarov

  • Department of Thermophysics, Uzbek Academy of Sciences, Tashkent 700 135, ‘‘Pravda’’ str. 28 Union of Soviet Socialist Republics

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Issue

Vol. 41, Iss. 8 — April 1990

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