arXiv Open Access 2017

Bäcklund Transformation and Quasi-Integrable Deformation of Mixed Fermi-Pasta-Ulam and Frenkel-Kontorova Models

Kumar Abhinav A Ghose Choudhury Partha Guha

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Abstrak

In this paper we study a non-linear partial differential equation (PDE), proposed by N. 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.

Topik & Kata Kunci

math-ph nlin.SI

Penulis (3)

Kumar Abhinav

A Ghose Choudhury

Partha Guha

Format Sitasi

APA MLA BibTeX

Abhinav, K., Choudhury, A.G., Guha, P. (2017). Bäcklund Transformation and Quasi-Integrable Deformation of Mixed Fermi-Pasta-Ulam and Frenkel-Kontorova Models. https://arxiv.org/abs/1701.01929

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2017
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓