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

Wattis, Jonathan A.D.; Gordoa, PIlar; Pickering, Andrew

Authors

PIlar Gordoa

Andrew Pickering



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.

Citation

Wattis, J. A., Gordoa, P., & Pickering, A. (2018). Behaviour of the extended modified Volterra lattice --reductions to generalised mKdV and NLS equations. Communications in Nonlinear Science and Numerical Simulation, 65, 98-110. doi:10.1016/j.cnsns.2018.05.016

Journal Article Type Article
Acceptance Date May 18, 2018
Online Publication Date May 19, 2018
Publication Date Dec 1, 2018
Deposit Date May 18, 2018
Publicly Available Date May 20, 2019
Journal Communications in Nonlinear Science and Numerical Simulation
Print ISSN 1007-5704
Electronic ISSN 1007-5704
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 65
Pages 98-110
DOI https://doi.org/10.1016/j.cnsns.2018.05.016
Keywords nonlinear dynamics, modified Volterra lattice, asymptoticbehaviour, integrable systems
Public URL http://eprints.nottingham.ac.uk/id/eprint/51874
Publisher URL https://www.sciencedirect.com/science/article/pii/S1007570418301606
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by-nc-nd/4.0

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