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Behaviour of the extended Toda lattice

Wattis, Jonathan A.D.; Gordoa, Pilar R.; Pickering, Andrew

Authors

Pilar R. Gordoa

Andrew Pickering



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.

Citation

Wattis, J. A., Gordoa, P. R., & Pickering, A. (2015). Behaviour of the extended Toda lattice. Communications in Nonlinear Science and Numerical Simulation, 28, doi:10.1016/j.cnsns.2015.04.006

Journal Article Type Article
Publication Date Apr 1, 2015
Deposit Date Jun 1, 2015
Publicly Available Date Jun 1, 2015
Journal Communications in Nonlinear Science and Numerical Simulation
Print ISSN 1007-5704
Electronic ISSN 1007-5704
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 28
DOI https://doi.org/10.1016/j.cnsns.2015.04.006
Keywords Nonlinear dynamics, Toda lattice, asymptotic behaviour, self-similar behaviour
Public URL http://eprints.nottingham.ac.uk/id/eprint/28925
Publisher URL http://www.sciencedirect.com/science/article/pii/S1007570415001318
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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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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