Research Catalog

Nonlinear partial differential equations for scientists and engineers

Title
Nonlinear partial differential equations for scientists and engineers / Lokenath Debnath.
Author
Debnath, Lokenath.
Publication
Boston : Birkhäuser, ©1997.

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Details

Description
xvii, 593 pages : illustrations; 24 cm
Summary
"This book presents a comprehensive and systematic treatment of nonlinear partial differential equations and their varied applications. It contains methods and properties of solutions along with their physical significance. In an effort to make the book useful for a diverse readership, 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."--BOOK JACKET. "Nonlinear Partial Differential Equations for Scientists and Engineers is an exceptionally complete and accessible text/reference for graduates and professionals in mathematics, physics, science, and engineering. It is also suitable as a self-study/reference guide."--Jacket.
Subject
  • Differential equations, Nonlinear
  • Partiële differentiaalvergelijkingen
  • Niet-lineaire vergelijkingen
  • DIFFERENTIAL EQUATIONS
  • NONLINEAR EQUATIONS
  • PARTIAL DIFFERENTIAL EQUATIONS
  • SCIENTISTS
  • ENGINEERS
  • Differential equations, Partial
Bibliography (note)
  • Includes bibliographical references (p. [559]-580) and index.
Contents
Linear partial differential equations -- Nonlinear model equations and variational principles -- First-order, quasi-linear equations and the method of characteristics -- First-order nonlinear equations and their applications -- Conservation laws and shock waves -- kinematic waves and specific real-world nonlinear problems -- Nonlinear dispersive waves and Whitham's equations -- Nonlinear diffusion-reaction phenomena, Burgers' and Fisher's equations -- Solitons and the inverse scattering transform -- The nonlinear Schrodinger equation and solitary waves -- Nonlinear Klein-Gordon and Sine-Gordon equations -- Asymptotic methods and nonlinear evolution equations.
ISBN
  • 0817639020
  • 9780817639020
  • 3764339020
  • 9783764339029
LCCN
97015710
OCLC
  • ocm36892744
  • 36892744
  • SCSB-2137136
Owning Institutions
Princeton University Library