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arXiv · 1611.00215

Soliton Solutions and their (In)stability for the Focusing Davey-Stewartson II Equation

Peter A. Perry
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Abstract

We give a rigorous mathematical analysis of the one-soliton solution of the focusing Davey-Stewartson II equation and a proof of its instability under perturbation. Building on the fundamental perturbation analysis of Gadyl'shin and Kiselev, we verify their Assumption 1 and use Fredholm determinants to globalize their perturbation analysis.

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Peter A. Perry. 2016-11-01. Soliton Solutions and their (In)stability for the Focusing Davey-Stewartson II Equation. https://arxiv.org/abs/1611.00215

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