Resonant kink-impurity interactions in the φ4 model

Zhang Fei, Yuri S. Kivshar, and Luis Vázquez
Phys. Rev. A 46, 5214 – Published 1 October 1992
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Abstract

We study kink-impurity interactions in the φ4 model, extending our previous results [Zhang Fei, Y. Kivshar, and L. Vázquez, Phys. Rev. A 45, 6019 (1992)] to the case where the kink has an internal degree of freedom which may be excited due to scattering. We demonstrate numerically that the kink may be reflected by an attractive impurity when its velocity lies in some ‘‘windows,’’ and this effect is due to a resonant energy exchange between the kink translational mode, its internal mode, and the impurity mode. We observe additional features in the resonant interactions, e.g., quasiresonances at some intermediate velocities and ‘‘three-bounce’’ resonances. We also develop an analytical approach taking into account three dynamical variables and show that such a collective-coordinate model may explain qualitatively the resonance structures observed in numerical simulations.

  • Received 14 April 1992

DOI:https://doi.org/10.1103/PhysRevA.46.5214

©1992 American Physical Society

Authors & Affiliations

Zhang Fei

  • Departamento di Física Teórica I, Facultad de Ciencias Físicas, Universidad Complutense, E-28040 Madrid, Spain

Yuri S. Kivshar

  • Institut für Theoretische Physik, Universität Düsseldorf, D-4000 Düsseldorf 1, Germany

Luis Vázquez

  • Departamento de Física Téorica I, Facultad de Ciencias Físicas, Universidad Complutense, E-28040 Madrid, Spain

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Issue

Vol. 46, Iss. 8 — October 1992

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