Title: Integrals of Nonlinear Equations of Evolution and Solitary Waves (Classic Reprint)
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 0267853831
ISBN 13: 9780267853830
Binding: HRD
Condition: New
Weight: 294 grams

About this title

Synopsis

Uncover the hidden structure behind nonlinear waves and their long-term behavior.

This book surveys how certain evolution equations, like the KdV equation, preserve quantities over time and generate solitary wave solutions. It blends rigorous results with guided ideas for constructing invariants, revealing why these waves retain shape and speed after interactions.

The text explains how solitary waves arise, how they can be described with explicit formulas, and how an infinite family of integrals can be found using operator methods. It links practical calculations to deep insights about stability, wave interactions, and the mathematical framework behind integrable systems.

Learn how traveling waves are formed and characterized
See how integrals (invariants) arise from operator techniques
Understand the connection between solitary waves and nonlinear evolution
Explore early, influential work on the KdV equation and its invariants

Ideal for readers of advanced mathematics, mathematical physics, and applied analysis who want a rigorous, concept-driven view of nonlinear waves and their conserved quantities.

"About this title" may belong to another edition of this title.

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