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Wave-solutions of reversible systems and applications
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Water waves for small surface tension: an approach via normal form
Synopsis In this paper we determine the possible crest-forms of permanent waves of small amplitude which exist on the free surface of a two-dimensional fluid layer under the influence of gravity and…
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Nonlinearly Resonant Surface Waves and Homoclinic Bifurcation
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A theory of solitary water-waves in the presence of surface tension
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Travelling Waves in a Chain¶of Coupled Nonlinear Oscillators
Abstract:In a chain of nonlinear oscillators, linearly coupled to their nearest neighbors, all travelling waves of small amplitude are found as solutions of finite dimensional reversible dynamical…
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On the nonlinear dynamics of travelling fronts
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Instabilities and fronts in extended systems
The physics of extended systems is a topic of great interest for the experimentalist and the theoretician alike. There exists a large literature on this subject in which solutions, bifurcations,…
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Three-Dimensional Steady Capillary-Gravity Waves
Three-dimensional steady capillary-gravity water-waves are studied in this paper. Potential flow of an ideal fluid in a layer with finite depth and upper free surface is considered. The existence of…
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Bifurcation in Nonlinear Hydrodynamic Stability
The appearance of secondary motions in a viscous fluid field can be understood to some extent as a bifurcation phenomenon with exchange of stability between the basic and the secondary flow. This…
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Bifurcation from the essential spectrum for some non-compact non-linearities
Keywords: non-compact nonlinearities ; essential spectrum ; bifurcation ; semilinear elliptic equation Reference ANA-ARTICLE-1989-001doi:10.1002/mma.1670110408View record in Web of Science Record…
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