Contents
Preface vii
List of Special Session Participants xi
Recurrence in the Korteweg–de Vries Equation?
Ben Herbst, Garret Nieddu, and A. David Trubatch 1
On the Location of the Discrete Eigenvalues for Defocusing Zakharov–Shabat
Systems Having Potentials with Nonvanishing Boundary Conditions
Francesco Demontis, Cornelis van der Mee,
and Federica Vitale 13
The Novikov–Veselov Equation: Theory and Computation
Ryan Croke, Jennifer L. Mueller, Michael Music, Peter Perry,
Samuli Siltanen, and Andreas Stahel 25
Transverse Instability of Plane Wave Soliton Solutions of the Novikov–Veselov
Equation
Ryan Croke, Jennifer L. Mueller, and Andreas Stahel 71
Semiclassical Soliton Ensembles for the Focusing Nonlinear Schr¨odinger
Equation: Recent Developments
Gregory D. Lyng 91
Relative-Periodic Elastic Collisions of Water Waves
Jon Wilkening 109
The Instabilities of Periodic Traveling Water Waves with Respect to Transverse
Perturbations
Katie Oliveras and Bernard Deconinck 131
Relationships Between the Pressure and the Free Surface Independent of the
Wave Speed
Katie Oliveras and Vishal Visan 157
Comparison of Five Methods of Computing the Dirichlet–Neumann Operator
for the Water Wave Problem
Jon Wilkening and Vishal Vasan 175
v
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