Travelling water-waves, as a paradigm for bifurcations in reversible infinite dimensional “dynamical

Iooss, Gérard

Displaying similar documents to “Travelling water-waves, as a paradigm for bifurcations in reversible infinite dimensional “dynamical' systems.”

Multiplicity and structures for traveling wave solutions of the Kuramoto-Sivashinsky equation.

Feng, Bao-Feng (2004)

International Journal of Mathematics and Mathematical Sciences

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On connecting orbits of semilinear parabolic equations on $S^{1}$ .

Miyamoto, Yasuhito (2004)

Documenta Mathematica

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On caustics associated with Rossby waves

Arthur D. Gorman (1996)

Applications of Mathematics

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Rossby wave equations characterize a class of wave phenomena occurring in geophysical fluid dynamics. One technique useful in the analysis of these waves is the geometrical optics, or multi-dimensional WKB technique. Near caustics, e.g., in critical regions, this technique does not apply. A related technique that does apply near caustics is the Lagrange Manifold Formalism. Here we apply the Lagrange Manifold Formalism to study Rossby waves near caustics.

Wave fronts to some modifications of Korteweg-de Vries and Burgers-Korteweg-de Vries equations

Bogdan Przeradzki, Katarzyna Szymańska-Dębowska (2014)

Banach Center Publications

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The existence of a traveling wave with special properties to modified KdV and BKdV equations is proved. Nonlinear terms in the equations are defined by means of a function f of an unknown u satisfying some conditions.