The sine-Gordon equation in the semiclassical limit:...

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The sine-Gordon equation in the...

The sine-Gordon equation in the semiclassical limit: dynamics of fluxon condensates

Name: The sine-Gordon equation in the semiclassical limit: dynamics of fluxon condensates
ISBN: 9780821885451

Robert J. Buckingham, Peter D. Miller

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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

వర్గాలు:

Mathematics

సంవత్సరం:

2013

ప్రచురణకర్త:

Amer Mathematical Society

భాష:

english

పేజీల సంఖ్య:

148

ISBN 10:

0821885456