TL;DR
This paper provides a comprehensive overview of the Korteweg-de Vries equation, including its history, solutions, modern developments, properties, and applications, serving as an encyclopedic reference.
Contribution
It offers a detailed, encyclopedic synthesis of the Korteweg-de Vries equation's theoretical and practical aspects, consolidating historical and modern insights.
Findings
Historical development of the KdV equation
Types of solutions including solitary and periodic waves
Applications in physics and engineering
Abstract
Two page encyclopedic article about the Korteweg-de Vries equation covering historical perspective, solitary wave and periodic solutions, modern developments, properties and applications, and further reading.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates