Interaction of sine-Gordon kinks with defects: The two-bounce resonance

Document Type

Article

Publication Date

8-15-2004

Abstract

A model of soliton-defect interactions in the sine-Gordon equations is studied using singular perturbation theory. Melnikov theory is used to derive a critical velocity for strong interactions, which is shown to be exponentially small for weak defects. Matched asymptotic expansions for nearly heteroclinic orbits are constructed for the initial value problem, which are then used to derive analytical formulas for the locations of the well known two- and three-bounce resonance windows, as well as several other phenomena seen in numerical simulations. © 2004 Elsevier B.V. All rights reserved.

Identifier

3342892305 (Scopus)

Publication Title

Physica D Nonlinear Phenomena

External Full Text Location

https://doi.org/10.1016/j.physd.2004.04.002

ISSN

01672789

First Page

303

Last Page

323

Issue

3-4

Volume

195

Grant

0204881

Fund Ref

Nanjing Institute of Technology

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