Bilinear Transformation Method

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Author(s): Yoshimasa Matsuno (Eds.)
Series: Mathematics in Science and Engineering 174
Publisher: Academic Press
Year: 1984

Language: English
Pages: iii-viii, 1-223

Content:
Edited by
Page iii

Copyright page
Page iv

Preface
Pages vii-viii

1 Introduction and Outline
Pages 1-4

2 Introduction to the Bilinear Transformation Method
Pages 5-46

3 The Benjamin–Ono Equation
Pages 47-95

4 Interaction of the Benjamin–Ono Solitons
Pages 97-116

5 The Benjamin–Ono–Related Equations
Pages 117-168

6 Topics Related to the Benjamin–Ono Equation
Pages 169-184

Appendix I Formulas of the Bilinear Operators
Pages 185-190

Appendix II Properties of the Matrices M and A
Pages 191-200

Appendix III Properties of the Hilbert Transform Operator
Pages 201-206

Appendix IV Proof of (3.274)
Pages 207-209

References
Pages 211-217

Author Index
Pages 219-220

Subject Index
Pages 221-223