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Preface

Preface Acta Applicandae Mathematicae 36: 1, 1994. t 9 1994 KluwerAcademic Publishers. Printed in the Netherlands. This special issue of Acta Applicandae Mathematicae, dedicated to the memory of Jean-Luis Verdier, comprises a collection of papers devoted mainly to the theory of elliptic solitons. The contributors are mfited within this volume, not only by the common subject of their investigations, but also by their wish to express their regret about the death of Professor Jean-Luis Verdier, who made a great contribution to the development of this branch of the science. The term 'elliptic soliton' was introduced by J.-L. Verdier. It successfully emphas- ized the features of elliptic solutions for nonlinear integrable equations, the theory of which has accumulated the classical results of Hermite, Halphene, Ince, and others, and acquired its modern form within the framework of soliton theory after the remarkable paper by H. Airault, H. McKean, and J. Moser (Comm. Pure Appl. Math. 30 (1979), 94). The concept of a soliton as a nonlinear analogy with a quasi-particle goes far beyond the scope of the 'integrable equations' theory. The nonlinear interaction of solitons preserves their shape and manifests itself as a shift of their internal parameters - phases. ]'he same http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Preface

Acta Applicandae Mathematicae , Volume 36 (2) – Jan 3, 2005
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Preface

Abstract

Acta Applicandae Mathematicae 36: 1, 1994. t 9 1994 KluwerAcademic Publishers. Printed in the Netherlands. This special issue of Acta Applicandae Mathematicae, dedicated to the memory of Jean-Luis Verdier, comprises a collection of papers devoted mainly to the theory of elliptic solitons. The contributors are mfited within this volume, not only by the common subject of their investigations, but also by their wish to express their regret about the death of Professor Jean-Luis Verdier, who made...
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Publisher
Springer Journals
Copyright
Copyright
Subject
Mathematics; Computational Mathematics and Numerical Analysis; Applications of Mathematics; Partial Differential Equations; Probability Theory and Stochastic Processes; Calculus of Variations and Optimal Control; Optimization
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/BF01001538
Publisher site
See Article on Publisher Site

Abstract

Acta Applicandae Mathematicae 36: 1, 1994. t 9 1994 KluwerAcademic Publishers. Printed in the Netherlands. This special issue of Acta Applicandae Mathematicae, dedicated to the memory of Jean-Luis Verdier, comprises a collection of papers devoted mainly to the theory of elliptic solitons. The contributors are mfited within this volume, not only by the common subject of their investigations, but also by their wish to express their regret about the death of Professor Jean-Luis Verdier, who made a great contribution to the development of this branch of the science. The term 'elliptic soliton' was introduced by J.-L. Verdier. It successfully emphas- ized the features of elliptic solutions for nonlinear integrable equations, the theory of which has accumulated the classical results of Hermite, Halphene, Ince, and others, and acquired its modern form within the framework of soliton theory after the remarkable paper by H. Airault, H. McKean, and J. Moser (Comm. Pure Appl. Math. 30 (1979), 94). The concept of a soliton as a nonlinear analogy with a quasi-particle goes far beyond the scope of the 'integrable equations' theory. The nonlinear interaction of solitons preserves their shape and manifests itself as a shift of their internal parameters - phases. ]'he same

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Acta Applicandae Mathematicae – Springer Journals

Published: Jan 3, 2005

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