The Sine-Gordon Equation in the Semiclassical Limit: Dynamics of Fluxon Condensates - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Sine-Gordon Equation in the Semiclassical Limit: Dynamics of Fluxon Condensates write by Robert J. Buckingham. This book was released on 2013-08-23. The Sine-Gordon Equation in the Semiclassical Limit: Dynamics of Fluxon Condensates available in PDF, EPUB and Kindle. 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
The Sine-Gordon Equation in the Semiclassical Limit - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Sine-Gordon Equation in the Semiclassical Limit write by Robert J. Buckingham. This book was released on 2014-09-11. The Sine-Gordon Equation in the Semiclassical Limit available in PDF, EPUB and Kindle. September 2013, volume 225, number 1059 (fourth of 4 numbers).
Algebraic and Geometric Aspects of Integrable Systems and Random Matrices
Algebraic and Geometric Aspects of Integrable Systems and Random Matrices - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic and Geometric Aspects of Integrable Systems and Random Matrices write by Anton Dzhamay. This book was released on 2013-06-26. Algebraic and Geometric Aspects of Integrable Systems and Random Matrices available in PDF, EPUB and Kindle. This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, held from January 6-7, 2012, in Boston, MA. The very wide range of topics represented in this volume illustrates
Integrable Systems and Random Matrices
Integrable Systems and Random Matrices - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integrable Systems and Random Matrices write by Jinho Baik. This book was released on 2008. Integrable Systems and Random Matrices available in PDF, EPUB and Kindle. 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 reflected the wide-ranging contributions of Professor Deift to analysis with emphasis on recent developments in Random Matrix Theory and integrable systems. The articles in this volume present a broad view on the state of the art in these fields. Topics on random matrices include the distributions and stochastic processes associated with local eigenvalue statistics, as well as their appearance in combinatorial models such as TASEP, last passage percolation and tilings. The contributions in integrable systems mostly deal with focusing NLS, the Camassa-Holm equation and the Toda lattice. A number of papers are devoted to techniques that are used in both fields. These techniques are related to orthogonal polynomials, operator determinants, special functions, Riemann-Hilbert problems, direct and inverse spectral theory. Of special interest is the article of Percy Deift in which he discusses some open problems of Random Matrix Theory and the theory of integrable systems.
Combinatorial Floer Homology
Combinatorial Floer Homology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Combinatorial Floer Homology write by Vin de Silva. This book was released on 2014-06-05. Combinatorial Floer Homology available in PDF, EPUB and Kindle. The authors define combinatorial Floer homology of a transverse pair of noncontractible nonisotopic embedded loops in an oriented -manifold without boundary, prove that it is invariant under isotopy, and prove that it is isomorphic to the original Lagrangian Floer homology. Their proof uses a formula for the Viterbo-Maslov index for a smooth lune in a -manifold.
