On the complete integrability of an equation having solitons but not known to have a lax pair.

Roychowdhury, A.; Mahato, G.

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Higher-order equations of the KdV type are integrable.

Marinakis, V. (2010)

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Schlereth, Eugene P., Rodin, Ervin Y. (1984)

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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.