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Nonlinear Partial Differential Equations for Scientists and Engineers by Lokenath Debnath β€” book cover
Mathematical Equations - Differential

Nonlinear Partial Differential Equations for Scientists and Engineers

by Lokenath Debnath
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Overview

The revised and enlarged third edition of this successful book presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied and updated applications. In an effort to make the book more useful for a diverse readership, updated modern examples of applications are chosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation.
Nonlinear Partial Differential Equations for Scientists and Engineers, Third Edition,improves onanalready highlycomplete and accessible resource for graduate students and professionals in mathematics, physics, science, and engineering. It may be used to great effect as a course textbook, research reference, or self-study guide.

About the Author, Lokenath Debnath

Lokenath Debnath is author or co-author of seven graduate-level books and research monographs, including "Introduction to Hilbert Spaces with Applications," "Nonlinear Water Waves," and "Continuum Mechanics" published by Academic Press; "Nonlinear Partial Differential Equations for Scientists and Engineers" and "Wavelets Transforms and Their Applications," published by Birkhauser Boston; "Partial Differential Equations for Scientists and Engineers" published by Prentice Hall; and "Integral Transforms and Their Applications" by CRC Press/Chapman and Hall. He has also edited seven research monographs including "Nonlinear Waves" published by Cambridge University Press and "Wavelet Transforms and Time-Frequency Signal Analysis" published by Birkhauser Boston. He is an author and co-author of over 300 research papers in pure and applied mathematics,encompassing applied partial differential equations, integral transforms and special functions, inequalities, solid and fluid mechanics, linear and nonlinear waves, solitons, magnetohydrodynamics, unsteady boundary layers, dynamics of oceans, wavelet transforms, signal processing, and stability theory.

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Editorials

Booknews

Presents a comprehensive and systematic treatment of nonlinear partial differential equations and their varied applications. Discusses derivation and methods of solutions for all fundamental nonlinear model equations, among them, Korteweg-de Vries, Boussinesq, Burgers, Fisher, and Whitham equations. Covers conservation laws, weak solutions, and shock waves; nonlinear real-world models that include traffic flow, flood waves, chromatographic models, sediment transport in rivers, glacier flow, and roll waves; and solitons and the inverse scattering transform. Gives special emphasis to nonlinear instability of dispersive waves with applications to water waves. Annotation c. by Book News, Inc., Portland, Or.

Book Details

Published
October 6, 2011
Publisher
Birkhauser Verlag
Pages
883
Format
Hardcover
ISBN
9780817682644

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