Behaviour of the extended modified Volterra lattice -- reductions to generalised mKdV and NLS equations

Wattis, Jonathan A.D. and Gordoa, PIlar and Pickering, Andrew (2018) Behaviour of the extended modified Volterra lattice -- reductions to generalised mKdV and NLS equations. Communications in Nonlinear Science and Numerical Simulation, 65 . pp. 98-110. ISSN 1007-5704

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Abstract

We consider the first member of an extended modified Volterra 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 modified Korteweg-de Vries and nonlinear Schrodinger equations.

Item Type: Article
RIS ID: https://nottingham-repository.worktribe.com/output/951024
Keywords: nonlinear dynamics, modified Volterra lattice, asymptotic behaviour, integrable systems
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1016/j.cnsns.2018.05.016
Depositing User: Wattis, Jonathan
Date Deposited: 18 May 2018 11:26
Last Modified: 04 May 2020 19:50
URI: http://eprints.nottingham.ac.uk/id/eprint/51874

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