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The Sine-Gordon Equation in the Semiclassical Limit: Dynamics of Fluxon Condensates (Memoirs of the American Mathematical Society)

Mathematical

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About the Author Robert J. Buckingham, University of Cincinnati, OH, USAPeter D. Miller, University of Michigan, Ann Arbor, MI, USA Product Description The 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.

Product Specifications

Format: paperback
ASIN: 0821885456
Category: Books > Subjects > Science, Nature & Maths > Physics > Mathematical
Domain: Amazon UK
Release Date: 30 September 2013
Listed Since: 25 July 2013

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The Sine-Gordon Equation in the Semiclassical Limit: Dynamics of Fluxon Condensates (Memoirs of the American Mathematical Society)

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