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Nonlinear Dispersive Partial Differential Equations and Inverse Scattering

Nonlinear Dispersive Partial Differential Equations and Inverse Scattering

Paperback

Series: Fields Institute Communications, Book 83

General Mathematics

ISBN10: 1493998080
ISBN13: 9781493998081
Publisher: Springer Nature
Published: Nov 14 2020
Pages: 528
Weight: 1.65
Height: 1.09 Width: 6.14 Depth: 9.21
Language: English

This volume contains lectures and invited papers from the Focus Program on Nonlinear Dispersive Partial Differential Equations and Inverse Scattering held at the Fields Institute from July 31-August 18, 2017. The conference brought together researchers in completely integrable systems and PDE with the goal of advancing the understanding of qualitative and long-time behavior in dispersive nonlinear equations. The program included Percy Deift's Coxeter lectures, which appear in this volume together with tutorial lectures given during the first week of the focus program. The research papers collected here include new results on the focusing ​nonlinear Schrödinger (NLS) equation, the massive Thirring model, and the Benjamin-Bona-Mahoney equation as dispersive PDE in one space dimension, as well as the Kadomtsev-Petviashvili II equation, the Zakharov-Kuznetsov equation, and the Gross-Pitaevskii equation as dispersive PDE in two space dimensions.

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