Nonlinear Wave Equations
Analytic and Computational Techniques
Will be published approx. on 30. March 2015
Book
Paperback/Softback
210 pages
978-1-4704-1050-6 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
323 gr
ISBN-13
978-1-4704-1050-6 (9781470410506)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
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.
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.
Content
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
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