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  1. No Access

    Article

    A Bifurcation Theory for Three-Dimensional Oblique Travelling Gravity-Capillary Water Waves

    This article presents a rigorous existence theory for small-amplitude threedimensional travelling water waves. The hydrodynamic problem is formulated as an infinite-dimensional Hamiltonian system in which an a...

    M. D. Groves, M. Haragus in Journal of Nonlinear Science (2003)

  2. No Access

    Article

    Solitary Wave Interactions of the Euler-Poisson Equations

    We study solitary wave interactions in the Euler-Poisson equations modeling ion acoustic plasmas and their approximation by KdV n-solitons. Numerical experiments are performed and solutions compared to appropria...

    M. Haragus, D. P. Nicholls, D. H. Sattinger in Journal of Mathematical Fluid Mechanics (2003)

  3. No Access

    Article

    Reduction of PDEs on Unbounded Domains. Application: Unsteady Water-Waves Problem

    For a certain class of partial differential equations in cylindrical domains, we show that all small time-dependent solutions are described by a reduced system of equations on the real line, which contains no...

    M. Hărăguş in Journal of Nonlinear Science (1998)