Bäcklund transformation and quasi-integrable deformation of mixed Fermi-Pasta-Ulam and Frenkel-Kontorova models

Kumar Abhinav, A. Ghose Choudhury, Partha Guha

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we study a non-linear partial differential equation (PDE), proposed by Kudryashov [arXiv:1611.06813v1[nlin.SI]], using continuum limit approximation of mixed Fermi-Pasta-Ulam and Frenkel-Kontorova Models. This generalized semi-discrete equation can be considered as a model for the description of non-linear dislocation waves in crystal lattice and the corresponding continuous system can be called mixed generalized potential KdV and sine-Gordon equation. We obtain the Bäcklund transformation of this equation in Riccati form in inverse method. We further study the quasi-integrable deformation of this model.

Original languageBritish English
Pages (from-to)31-41
Number of pages11
JournalDiscontinuity, Nonlinearity, and Complexity
Volume7
Issue number1
DOIs
StatePublished - 2018

Keywords

  • Bäcklund transformation
  • Fermi-Pasta-Ulam equation
  • Frenkel-Kontorova Models
  • Quasi-integrable deformation

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