Bilinear transformation method / Yoshimasa Matsuno.

Format:

Book

Author/Creator:

Matsuno, Yoshimasa.

Series:

Mathematics in science and engineering ; v. 174.

Mathematics in science and engineering ; v. 174

Language:

English

Subjects (All):

Benjamin-Ono equations.

Bilinear transformation method.

Evolution equations, Nonlinear--Numerical solutions.

Evolution equations, Nonlinear.

Physical Description:

1 online resource (233 p.)

Place of Publication:

Orlando : Academic Press, 1984.

Language Note:

English

Summary:

Bilinear transformation method

Contents:

Front Cover; Bilinear Transformation Method; Copyright Page; Contents; Preface; Chapter 1. Introduction and Outline; 1.1 Introduction; 1.2 Outline; Chapter 2. Introduction to the Bilinear Transformation Method; 2.1 Bilinearization; 2.2 Exact Solutions; 2.3 Bäcklund Transformation; 2.4 Conservation Laws; 2.5 Inverse Scattering Method; 2.6 Bibliography; Chapter 3. The Benjamin-Ono Equation; 3.1 Multisoliton Solutions of the Benjamin-Ono Equation; 3.2 Bäcklund Transformation and Conservation Laws of the Benjamin-Ono Equation; 3.3 Asymptotic Solutions of the Benjamin-Ono Equation

3.4 Stability of the Benjamin-Ono Solitons3.5 The Linearized Benjamin-Ono Equation and Its Solution; Chapter 4. Interaction of the Benjamin-Ono Solitons; 4.1 Asymptotic Behaviors of the N-Soliton Solution; 4.2 Interaction of Two Solitons; Chapter 5. The Benjamin-Ono-Related Equations; 5.1 Higher-Order Benjamin-Ono Equations; 5.2 Higher-Order Korteweg-de Vries Equations; 5.3 The Finite-Depth Fluid Equation and Its Higher-Order Equations; 5.4 Higher-Order Modified Korteweg-de Vries Equations

5.5 Bäcklund Transformations and Inverse Scattering Transforms of Higher-Order Korteweg-de Vries EquationsChapter 6. Topics Related to the Benjamin-Ono Equation; 6.1 The Modified Benjamin-Ono Equation; 6.2 The Derivative Nonlinear Schrödinger Equation; 6.3 The Perturbed Benjamin-Ono Equation; Appendix I: Formulas of the Bilinear Operators; Appendix II: Properties of the Matrices M and A; Appendix III: Properties of the Hilbert Transform Operator; Appendix IV: Proof of (3.274); References; Author Index; Subject Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-282-28884-9

9786612288845

0-08-095864-8

OCLC:

466443950