Behaviour of the extended Toda lattice

Wattis, Jonathan A.D. and Gordoa, Pilar R. and Pickering, Andrew (2015) Behaviour of the extended Toda lattice. Communications in Nonlinear Science and Numerical Simulation, 28 . pp. 138-150. ISSN 1007-5704

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Abstract

We consider the first member of an extended Toda lattice hierarchy. This system of equations is differential with respect to one independent variable and differential-delay with respect to a second independent variable. We use asymptotic analysis to consider the long wavelength limits of the system. By considering various magnitudes for the parameters involved, we derive reduced equations related to the Korteweg-de Vries and potential Boussinesq equations.

Item Type: Article
Keywords: Nonlinear dynamics, Toda lattice, asymptotic behaviour, self-similar behaviour
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1016/j.cnsns.2015.04.006
Depositing User: Wattis, Jonathan
Date Deposited: 01 Jun 2015 12:46
Last Modified: 15 Sep 2016 05:55
URI: http://eprints.nottingham.ac.uk/id/eprint/28925

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