Behaviour of the extended Toda lattice

DOI10.1016/J.CNSNS.2015.04.006OpenAlexW2043854159MaRDI QIDQ2198462

Pilar Ruiz Gordoa, Andrew Pickering, Jonathan A. D. Wattis

Publication date: 10 September 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: http://eprints.nottingham.ac.uk/28925/

zbMATH Keywords

nonlinear dynamicsasymptotic behaviourToda latticeself-similar behaviour

Mathematics Subject Classification ID

Partial differential equations (35-XX) Probability theory and stochastic processes (60-XX)

Related Items (2)

Behaviour of the extended modified Volterra lattice-reductions to generalised mKdV and NLS equations ⋮ The second Painlevé equation, a related nonautonomous semidiscrete equation, and a limit to the first Painlevé equation: scalar and matrix cases

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Nonisospectral scattering problems and similarity reductions
• More common errors in finding exact solutions of nonlinear differential equations. I
• A note on the generalized symmetries of lattice hierarchies
• Behaviour of the extended Volterra lattice
• Non-isospectral lattice hierarchies in 2 + 1 dimensions and generalized discrete Painlevé hierarchies
• A nonisospectral extension of the Volterra hierarchy to 2+1 dimensions
• New 2+1 dimensional nonisospectral Toda lattice hierarchy
• The Painlevé property for partial differential equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I

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