Overview

This volume contains the proceedings of the AMS Special Session on Nonlinear Waves and Integrable Systems, held on April 13-14, 2013, at the University of Colorado, Boulder, Colorado. The field of nonlinear waves is an exciting area of modern mathematical research that also plays a major role in many application areas from physics and fluids. The articles in this volume present a diverse cross section of topics from this field including work on the Inverse Scattering Transform, scattering theory, inverse problems, numerical methods for dispersive wave equations, and analytic and computational methods for free boundary problems. Significant attention to applications is also given throughout the articles with an extensive presentation on new results in the free surface problem in fluids. This volume will be useful to students and researchers interested in learning current techniques in studying nonlinear dispersive systems from both the integrable systems and computational points of view.

Full Product Details

Author:   Christopher W. Curtis ,  Anton Dzhamay ,  Willy A. Hereman ,  Barbara Prinari
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   635
Weight:   0.323kg
ISBN:  

9781470410506

ISBN 10:   1470410508
Pages:   210
Publication Date:   30 March 2015
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable  
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Table of Contents

Recurrence in the Korteweg-de Vries equation? by B. Herbst, G. Nieddu, and A. D. Trubatch On the location of the discrete eigenvalues for defocusing Zakharov-Shabat systems having potentials with nonvanishing boundary conditions by F. Demontis, C. van der Mee, and F. Vitale The Novikov-Veselov equation: Theory and computation by R. Croke, J. L. Mueller, M. Music, P. Perry, S. Siltanen, and A. Stahel Transverse instability of plane wave soliton solutions of the Novikov-Veselov equation by R. Croke, J. L. Mueller, and A. Stahel Semiclassical soliton ensembles for the focusing nonlinear Schrodinger equation: Recent developments by G. D. Lyng Relative-periodic elastic collisions of water waves by J. Wilkening The instabilities of periodic traveling water waves with respect to transverse perturbations by K. Oliveras and B. Deconinck Relationships between the pressure and the free surface independent of the wave speed by K. Oliveras and V. Vasan Comparison of five methods of computing the Dirichlet-Neumann operator for the water wave problem by J. Wilkening and V. Vasan

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Author Information

Christopher W. Curtis, San Diego State University, CA, USA. Anton Dzhamay, University of Northern Colorado, Greeley, CO, USA. Willy A. Hereman, Colorado School of Mines, Golden, CO, USA. Barbara Prinari, University of Colorado, Colorado Springs, CO, USA.

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