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Nonlinear Nonlocal Equations in the Theory of Waves

About this Title

P. I. Naumkin and I. A. Shishmarev. Translated by Boris Gommerstadt

Publication: Translations of Mathematical Monographs
Publication Year: 1994; Volume 133
ISBNs: 978-0-8218-4573-8 (print); 978-1-4704-4541-6 (online)
DOI: https://doi.org/10.1090/mmono/133
MathSciNet review: MR1261868
MSC: Primary 35Qxx; Secondary 35L99

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Table of Contents

Front/Back Matter

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Chapters

• Introduction
• Chapter 1. Simplest properties of solutions of nonlinear nonlocal equations
• Chapter 2. The Cauchy problem for the Whitham equation
• Chapter 3. The periodic problem
• Chapter 4. The system of equations of surface waves
• Chapter 5. Generalized solutions
• Chapter 6. The asymptotics as $t > (\infty )$ of solutions of the generalized Kolmogorov-Petrovskii-Piskunov equation
• Chapter 7. Asymptotics of solutions of the Whitham equation for large times
• Chapter 8. Asymptotics as $t > (\infty )$ of solutions of the nonlinear nonlocal Schrodinger equation
• Chapter 9. Asymptotics of solutions for a system of equations of surface waves for large times
• Chapter 10. The step-decaying problem for the Korteweg-de Vries-Burgers equation

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