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    Chapter and Conference Paper

    Whiskered Tori and Chaotic Behavior in Nonlinear Waves

    Chaotic behavior in deterministic dynamical systems is an important phenomenon with many physical ramifications. In finite-dimensional settings this behavior is well understood, because of several fundamental ...

    David W. McLaughlin in Proceedings of the International Congress of Mathematicians (1995)

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    Chapter and Conference Paper

    Toward a Topological Classification of Integrable PDE’s

    We model Fomenko’s topological classification of 2 degree of freedom integrable stratifications in an infinite dimensional soliton system. Specifically, the analyticity of the Floquet discriminant Δ(q, ») in both...

    Nicholas M. Ercolani, David W. McLaughlin in The Geometry of Hamiltonian Systems (1991)

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    Chapter and Conference Paper

    On the Construction of a Modulating Multiphase Wavetrain for a Perturbed Kdv Equation

    This paper summarizes the status of a direct construction of an asymptotic representation of a modulating multiphase wavetrain for a class of perturbed kdV equations. This class includes the kdV-Burgers equati...

    David W. McLaughlin in Oscillation Theory, Computation, and Metho… (1986)

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    Chapter and Conference Paper

    An Overview of Soliton Mathematics

    I have been asked to provide some background about “soliton mathematics”. I will describe an overview of the subject which indicates how some of the different mathematical developments fit together and complim...

    David W. McLaughlin in Physics in One Dimension (1981)

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    Chapter and Conference Paper

    Some comments on Bäcklund transformations, canonical transformations, and the inverse scattering method

    Hermann Flaschka, David W. McLaughlin in Bäcklund Transformations, the Inverse Scat… (1976)