5 Result(s)
within
Chapter
David W. McLaughlin
Physics
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Chapter
Semiclassical Behavior in the NLS Equation: Optical Shocks - Focusing Instabilities
We consider the semiclassical limit of the non-linear Schroedinger equation in both the defocusing and the focusing cases. We review the theory of the defocusing case, and verify it with numerical experiments....
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Chapter
The Behavior of Solutions of the NLS Equation in the Semiclassical Limit
We report a numerical and theoretical study of the generation and propogation of oscillations in the semiclassical limit (h → 0) of the Nonlinear Schrödinger equation. In a general setting of both dimension and n...
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Chapter and Conference Paper
On the Construction of a Modulating Multiphase Wavetrain for a Perturbed Kdv Equation
This paper summarizes the status of a direct construction of an asymptotic representation of a modulating multiphase wavetrain for a class of perturbed kdV equations. This class includes the kdV-Burgers equati...
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Chapter
Solitary Waves as Fixed Points of Infinite Dimensional Maps
Coherent structures which are localized in space arise and play important roles in turbulent fields. Examples include tornados, large vortices in a turbulent wake, and isolated vortices in the ocean. These coh...
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Chapter and Conference Paper
An Overview of Soliton Mathematics
I have been asked to provide some background about “soliton mathematics”. I will describe an overview of the subject which indicates how some of the different mathematical developments fit together and complim...
