43 citations · 79 across the 5 of their papers we have counts for
5 papers
Qualitative analysis of three-wave interaction with periodic boundary condition
Ze Cheng, Harvey Segur
First, for 3WRI with positive wave energy, we present a regularity theorem for all spatial dimension. Second, for 3WRI with negative wave energy, we present a class of solution in…
Explosive instability due to 4-wave mixing
Benjamin R. Safdi, Harvey Segur
It is known that an explosive instability can occur when nonlinear waves propagate in certain media that admit 3-wave mixing. The purpose of this paper is to show that explosive in…
Instabilities in the two-dimensional cubic nonlinear Schrodinger equation
John D. Carter, Harvey Segur
The two-dimensional cubic nonlinear Schrodinger equation (NLS) can be used as a model of phenomena in physical systems ranging from waves on deep water to pulses in optical fibers.…
Pole Dynamics for Elliptic Solutions of the Korteweg-deVries Equation
Bernard Deconinck, Harvey Segur
The real, nonsingular elliptic solutions of the Korteweg-deVries equation are studied through the time dynamics of their poles in the complex plane. The dynamics of these poles is…
A note on the motion of surfaces
Robert I. McLachlan, Harvey Segur
We study the motion of surfaces in an intrinsic formulation in which the surface is described by its metric and curvature tensors. The evolution equations for the six quantities co…