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OverviewThe authors study the Cauchy problem for the sine-Gordon equation in the semiclassical limit with pure-impulse initial data of sufficient strength to generate both high-frequency rotational motion near the peak of the impulse profile and also high-frequency librational motion in the tails. They show that for small times independent of the semiclassical scaling parameter, both types of motion are accurately described by explicit formulae involving elliptic functions. These formulae demonstrate consistency with predictions of Whitham's formal modulation theory in both the hyperbolic (modulationally stable) and elliptic (modulationally unstable) cases. Full Product DetailsAuthor: Robert J. Buckingham , Peter D. MillerPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 225, 1059 Weight: 0.226kg ISBN: 9780821885451ISBN 10: 0821885456 Pages: 136 Publication Date: 30 September 2013 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsReviewsAuthor InformationRobert J. Buckingham, University of Cincinnati, OH, USA Peter D. Miller, University of Michigan, Ann Arbor, MI, USA Tab Content 6Author Website:Countries AvailableAll regions |
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