Suppression of the generation of defect modes by a moving soliton in an inhomogeneous Toda lattice

Lautaro Vergara and Boris A. Malomed
Phys. Rev. E 77, 047601 – Published 29 April 2008

Abstract

The motion of solitons is studied in the Toda lattice with a local defect due to a change in coupling constants. We demonstrate that the generation of the trapped defect mode by the incident soliton is strongly suppressed under a certain condition. The effect is explained by the fact that, under this condition, the defect mode vanishes in the linear limit. In the same case, the soliton remains stable, traveling through a periodic array of defects; otherwise, it decays.

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  • Received 28 December 2007

DOI:https://doi.org/10.1103/PhysRevE.77.047601

©2008 American Physical Society

Authors & Affiliations

Lautaro Vergara1,* and Boris A. Malomed2,†

  • 1Departamento de Física, Universidad de Santiago de Chile, Casilla 307, Santiago 2, Chile
  • 2Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel

  • *lvergara@lauca.usach.cl
  • malomed@eng.tau.ac.il

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Vol. 77, Iss. 4 — April 2008

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