Title: Asymptotic Solution of a Dispersive Hyperbolic Equation With Variable Coefficients Classic Reprint
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 1332952321
ISBN 13: 9781332952328
Binding: PAP
Condition: New
Weight: 177 grams

About this title

Synopsis

Explore how waves behave when the math gets tricky.

This nonfiction work delves into the asymptotic solutions of dispersive hyperbolic equations with variable coefficients. It explains a powerful method, known as the ray method, and shows how it helps predict wave propagation without solving the exact problem first.

This book focuses on one- and zero-dimensional initial data, the role of rays in space-time, and how amplitude and phase evolve along those rays. It also introduces space-time diffraction, a new phenomenon that arises where the leading term of the asymptotic expansion vanishes. The discussion centers on the Klein-Gordon equation as a key example and includes comparisons that confirm the method’s reliability in situations where exact solutions are known.

Learn how the ray method translates complex partial differential equations into tractable ordinary differential equations along curves called rays
See how the method applies to initial-boundary value problems and oscillatory data
Understand the concept of space-time diffraction and its physical interpretation
Discover how the approach connects to broader ideas in diffraction and wave theory

Ideal for readers of advanced applied mathematics, physics, and engineering who want a clear, measured look at asymptotic techniques for wave problems.

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

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