The Sine-Gordon Equation in the Semiclassical Limit : Dynamics of Fluxon Condensates Paperback / softback
by Robert J. Buckingham, Peter D. Miller
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
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.
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:136 pages
- Publisher:American Mathematical Society
- Publication Date:30/09/2013
- Category:
- ISBN:9780821885451
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:136 pages
- Publisher:American Mathematical Society
- Publication Date:30/09/2013
- Category:
- ISBN:9780821885451