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Numerical studies of solitons on lattices

  • J. C. Eilbeck
Part III: Lattice Excitations and Localised Modes
Part of the Lecture Notes in Physics book series (LNP, volume 393)

Abstract

We use path-following methods and spectral collocation methods to study families of solitary wave solutions of lattice equations. These techniques are applied to a number of 1-D and 2-D lattices, including an electrical lattice introduced by Remoissenet and co-workers, and a 2-D lattice suggested by Zakharov, which in a particular continuum limit reduces to the Kadomtsev-Petviashvili equation.

Keywords

Solitary Wave Continuum Limit Lattice Equation Solitary Wave Solution Toda Lattice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • J. C. Eilbeck
    • 1
  1. 1.Department of MathematicsHeriot-Watt UniversityEdinburghUK

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