The Sine-Gordon Equation in the Semiclassical Limit: Dynamics of Fluxon Condensates

The Sine-Gordon Equation in the Semiclassical Limit: Dynamics of Fluxon Condensates
Author :
Publisher : American Mathematical Soc.
Total Pages : 148
Release :
ISBN-10 : 9780821885451
ISBN-13 : 0821885456
Rating : 4/5 (51 Downloads)

Book Synopsis The Sine-Gordon Equation in the Semiclassical Limit: Dynamics of Fluxon Condensates by : Robert J. Buckingham

Download or read book The Sine-Gordon Equation in the Semiclassical Limit: Dynamics of Fluxon Condensates written by Robert J. Buckingham and published by American Mathematical Soc.. This book was released on 2013-08-23 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


The Sine-Gordon Equation in the Semiclassical Limit: Dynamics of Fluxon Condensates Related Books

The Sine-Gordon Equation in the Semiclassical Limit: Dynamics of Fluxon Condensates
Language: en
Pages: 148
Authors: Robert J. Buckingham
Categories: Mathematics
Type: BOOK - Published: 2013-08-23 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

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 b
The Sine-Gordon Equation in the Semiclassical Limit
Language: en
Pages: 148
Authors: Robert J. Buckingham
Categories: MATHEMATICS
Type: BOOK - Published: 2014-09-11 - Publisher:

DOWNLOAD EBOOK

September 2013, volume 225, number 1059 (fourth of 4 numbers).
Algebraic and Geometric Aspects of Integrable Systems and Random Matrices
Language: en
Pages: 363
Authors: Anton Dzhamay
Categories: Mathematics
Type: BOOK - Published: 2013-06-26 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, held from January
Integrable Systems and Random Matrices
Language: en
Pages: 448
Authors: Jinho Baik
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This volume contains the proceedings of a conference held at the Courant Institute in 2006 to celebrate the 60th birthday of Percy A. Deift. The program reflect
Combinatorial Floer Homology
Language: en
Pages: 126
Authors: Vin de Silva
Categories: Mathematics
Type: BOOK - Published: 2014-06-05 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The authors define combinatorial Floer homology of a transverse pair of noncontractible nonisotopic embedded loops in an oriented -manifold without boundary, pr