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Radiation and modulational instability described by the fifth-order Korteweg-de Vries equation. (English) Zbl 0861.76011
Dias, F. (ed.) et al., Mathematical problems in the theory of water waves. A workshop on the problems in the theory of nonlinear hydrodynamic waves, May 15–19, 1995, Luminy, France. Providence, RI: American Mathematical Society. Contemp. Math. 200, 1-15 (1996).
Summary: Some aspects of modulational instability for the fifth-order Korteweg-de Vries equation are considered. We discuss the instability of radiating wave tail propagating outwards the Korteweg-de Vries solitary wave core, and also some features of interaction of two envelope solitary waves of small amplitude. The analysis of the interaction is performed within the framework of the Gorshkov-Ostrovskij-Papko asymptotic theory.
For the entire collection see [Zbl 0852.00046].

MSC:
76B25 Solitary waves for incompressible inviscid fluids
35Q53 KdV equations (Korteweg-de Vries equations)
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