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  1. No Access

    Article

    Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation

    Certain generalizations of one of the classical Boussinesq-type equations, $$u_{tt} = u_{xx} - (u^2 + u_{xx} )_{xx} $$ ...

    Jerry L. Bona, Robert L. Sachs in Communications in Mathematical Physics (1988)

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    Article

    A model system for strong interaction between internal solitary waves

    A mathematical theory is mounted for a complex system of equations derived by Gear and Grimshaw that models the strong interaction of two-dimensional, long, internal gravity waves propagating on neighboring py...

    Jerry L. Bona, Gustavo Ponce, Jean-Claude Saut… in Communications in Mathematical Physics (1992)

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    Article

    Long Wave Approximations for Water Waves

    In this paper, we obtain new nonlinear systems describing the interaction of long water waves in both two and three dimensions. These systems are symmetric and conservative. Rigorous convergence results are pr...

    Jerry L. Bona, Thierry Colin, David Lannes in Archive for Rational Mechanics and Analysis (2005)