Inverse Problems and a Unified Approach to Integrability in 1, 1+1 and 2+1 Dimensions

Fokas, A. S.; Papageorgiou, V.

doi:10.1007/978-3-642-73193-8_4

A. S. Fokas² &
V. Papageorgiou²

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Abstract

A unified approach for solving initial value problems for equations in 0+1, 1+1 (one spatial and one temporal), and 2+1 (two spatial and one temporal) dimensions is given. Illustrative examples in each of these cases are provided. Some remarks on inverse problems in higher than two spatial dimensions are made in the context of inverse scattering.

This article consists of expanded material of six lectures presented by one of us (A. S. Fokas) at this Winter School on “Solitons”.

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Authors and Affiliations

Department of Mathematics and Computer Science and Institute for Nonlinear Studies, Clarkson University, Potsdam, NY, 13676, USA
A. S. Fokas & V. Papageorgiou

Authors

A. S. Fokas
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V. Papageorgiou
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Editors and Affiliations

Department of Physics, Bharathidasan University, Tiruchirapalli, 620 024, Tamil Nadu, India
Muthusamy Lakshmanan

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Fokas, A.S., Papageorgiou, V. (1988). Inverse Problems and a Unified Approach to Integrability in 1, 1+1 and 2+1 Dimensions. In: Lakshmanan, M. (eds) Solitons. Springer Series in Nonlinear Dynamics . Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73193-8_4

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DOI: https://doi.org/10.1007/978-3-642-73193-8_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-73195-2
Online ISBN: 978-3-642-73193-8
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