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The Inverse Scattering Transformation and The Theory of Solitons: An Introduction

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Author(s): Wiktor Eckhaus and Aart van Harten (Eds.)
Series: North-Holland Mathematics Studies 50
Publisher: North-Holland
Year: 1981

Language: English
Pages: iii-vii, 1-222

Content:
Edited by
Page iii

Copyright page
Page iv

Preface
Pages v-vii
Wiktor Eckhaus, Aart van Harten

Chapter 1 The Korteweg-de Vries Equation
Pages 1-11

Chapter 2 Solution by the Method of Gardner-Greene-Kruskal-Miura the Inverse Scattering Transformation
Pages 13-52

Chapter 3 Isospectral Potentials the Lax Approach
Pages 53-73

Chapter 4 Direct and Inverse Scattering for the Schrödinger Equation
Pages 75-140

Chapter 5 Direct and Inverse Scattering for the Generalized Zakharov-Shabat System
Pages 141-166

Chapter 6 Applications of the Inverse Scattering Transformation
Pages 167-194

Chapter 7 Perturbations
Pages 195-216

Referances
Pages 217-222