The Sine-Gordon Equation in the Semiclassical Limit

Dynamics of Fluxon Condensates

Robert J Buckingham author Peter D Miller author

Format:Paperback

Publisher:American Mathematical Society

Published:30th Sep '13

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The Sine-Gordon Equation in the Semiclassical Limit cover

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.

ISBN: 9780821885451

Dimensions: unknown

Weight: 226g

136 pages