Nonlinear Wave Equations: Analytic and Computational Techniques: AMS Special Session Nonlinear Waves and Integrable Systems April 13-14, 2013 ... Boulder, CO (Contemporary Mathematics)

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. Machine Generated Contents Note: Recurrence In The Korteweg-de Vries Equation? / A. David Trubatch -- On The Location Of The Discrete Eigenvalues For Defocusing Zakharov-shabat Systems Having Potentials With Nonvanishing Boundary Conditions / Federica Vitale -- The Novikov-veselov Equation: Theory And Computation / Andreas Stahel -- Transverse Instability Of Plane Wave Soliton Solutions Of The Novikov-veselov Equation / Andreas Stahel -- Semiclassical Soliton Ensembles For The Focusing Nonlinear Schrodinger Equation: Recent Developments / Gregory D. Lyng -- Relative-periodic Elastic Collisions Of Water Waves / Jon Wilkening -- The Instabilities Of Periodic Traveling Water Waves With Respect To Transverse Perturbations / Bernard Deconinck -- Relationships Between The Pressure And The Free Surface Independent Of The Wave Speed / Vishal Visan. Christopher W. Curtis, Anton Dzhamay, Willy A. Hereman, Barbara Prinari, Editors. Includes Bibliographical References.