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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/400

Title: Modulating pulse solutions for quasilinear wave equations
Authors: Groves, Mark D.
Schneider, G.
Issue Date: 2005
Abstract: This paper presents an existence proof for symmetric modulating pulse solutions of a quasilinear wave equation. Modulating pulse solutions consist of a pulse-like envelope advancing in the laboratory frame and modulating an underlying wave-train; they are also referred to as "moving breathers" since they are time-periodic in a moving frame of reference. The problem is formulated as an infinite-dimensional dynamical system with two stable, two unstable and infinitely many neutral directions. Using a partial normal form and a generalisation of local invariant-manifold theory to the quasilinear setting we prove the existence of modulating pulses on arbitrarily large, but finite domains in space and time.
Description: This is a pre-print.
URI: https://dspace.lboro.ac.uk/2134/400
Appears in Collections:Pre-prints (Maths)

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