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Nonlinear Wave Equations By Christopher W. Curtis

Nonlinear Wave Equations by Christopher W. Curtis

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Nonlinear Wave Equations Summary

Nonlinear Wave Equations: Analytic and Computational Techniques by Christopher W. Curtis

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.

About Christopher W. Curtis

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.

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

Additional information

Nonlinear Wave Equations: Analytic and Computational Techniques by Christopher W. Curtis
American Mathematical Society
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