Long-wave and short-wave asymptotics in nonlinear dispersive systems
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Abstract
In this paper we study the interplay between short- and long-space scales in the context of conservative dispersive systems. We consider model systems in (1 + 1) dimensions that admit both long- and short-wavelength solutions in the linear regime. A nonlinear analysis of these systems is constructed, making use of multiscale expansions. We show that the equations governing the lowest order involve only short-wave properties and that the long-wave effects to leading order are determined by a secularity elimination procedure. © 1999 The American Physical Society.
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English
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Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 60, n. 2 B, p. 2418-2420, 1999.
