Author: Xin-Hua Wang
Publisher: CRC Press
Keywords: nonlinear, advances, optics, waveguides, optical, methods, finite, element
Number of Pages: 292
Published: 1996-02-09
List price: $139.95
ISBN-10: 2884490485
ISBN-13: 9782884490481

This book provides researchers at the forefront of nonlinear optical technologies with robust procedures and software for the investigation of the fundamental phenomena in nonlinear optical waveguide structures. A full vectorial electromagnetic formulation is adopted and the condition under which simplification to a scalar formulation is possible are clearly indicated. The need to model the dielectric saturation properly is identified and improved algorithms are presented for obtaining the complete power dispersion curve of structures exhibiting bistability. As the stability analysis of nonlin

Author: Massimiliano Berti
Publisher: Birkhäuser Boston
Keywords: nonlinear, equations, applications, differential, pdes, oscillations, hamiltonian, progress
Number of Pages: 180
Published: 2007-10-01
List price: $79.95
ISBN-10: 0817646809
ISBN-13: 9780817646806

Many partial differential equations (PDEs) that arise in physics can be viewed as infinite-dimensional Hamiltonian systems. This monograph presents recent existence results of nonlinear oscillations of Hamiltonian PDEs, particularly of periodic solutions for completely resonant nonlinear wave equations. After introducing the reader to classical finite-dimensional dynamical system theory, including the Weinstein–Moser and Fadell–Rabinowitz bifurcation results, the author develops the analogous theory for nonlinear wave equations. The theory and applications of the Nash–Moser theorem to a

Authors:E. Zeidler,  Leo F. Boro,
Publisher: Springer
Keywords: nonlinear, applications, analysis, functional, eberhard, zeidler, part, monotone, operators
Number of Pages: 756
Published: 1989-12-11
List price: $175.00
ISBN-10: 038797167X
ISBN-13: 9780387971674

This volume is devoted to the theory of nonlinear monotone operators. Among the topics are monotone and maximal monotone operators, pseudomonotone operators, potential operators, accretive and maximal accretive operators, nonlinear Fredholm operators, and A-proper operators, along with extremal problems, nonlinear operator equations, nonlinear evolution equations of first and second order, nonlinear semigroups, nonlinear Fredholm alternatives, and bifurcation. The book also emphasizes the methods of nonlinear numerical functional analysis. The applications concern variational problems, nonline

Authors:A. Degasperis, Allan P. Fordy,  M. Lakshmana,
Publisher: Manchester Univ Pr
Keywords: nonlinear, proceedings, science, methods, integrability, evolution, equations, spectral
Number of Pages: 750
Published: 1991-01-01
List price: $110.00
ISBN-10: 0719032733
ISBN-13: 9780719032738

Soliton theory is an interdisciplinary subject which has had an impact on both mathematics and physical science. This volume contains a selection of papers on soliton theory presented at the workshop "Nonlinear Evolution Equations: Integrability and Spectral Methods", held in Italy in 1988.

Authors:Jurgen Appell, Espedito De Pascale, Alfonso Vignoli,
Publisher: Walter de Gruyter
Keywords: nonlinear, analysis, applications, series, gruyter, spectral, theory
Number of Pages: 408
Published: 2004-04
List price: $229.00
ISBN-10: 3110181436
ISBN-13: 9783110181432

Author: Andrzej Borys
Publisher: CRC Press
Keywords: nonlinear, cancellation, electronic, engineering, systems, echo, series, aspects, telecommunications, discrete, volterra
Number of Pages: 312
Published: 2000-09-28
List price: $199.95
ISBN-10: 0849325714
ISBN-13: 9780849325717

The discrete Volterra series holds particular value in the analysis of nonlinear systems in telecommunications. However, most books on the Volterra series either do not address this application or only offer a partial discussion. Nonlinear Aspects of Telecommunications provides an in-depth treatment of the Volterra series and the benefits it offers as a representation of nonlinear problems, particularly in echo cancellation in digital telecommunications systems.Beginning with the fundamentals of the discrete Volterra series, the author presents its basic definition, notions, conditions for con

Authors:Joachim Escher, Gieri Simonett,
Publisher: Birkhäuser Basel
Keywords: nonlinear, differential, equations, applications, progress, festschrift, analysis, herbert, amann
Number of Pages: 759
Published: 1998-12-11
List price: $236.00
ISBN-10: 376436016X
ISBN-13: 9783764360160

Herbert Amann’s work is distinguished and marked by great lucidity and deep mathematical understanding. The present collection of 31 research papers, written by highly distinguished and accomplished mathematicians, reflect his interest and lasting influence in various fields of analysis such as degree and fixed point theory, nonlinear elliptic boundary value problems, abstract evolutions equations, quasi-linear parabolic systems, fluid dynamics, Fourier analysis, and the theory of function spaces. Contributors are A. Ambrosetti, S. Angenent, W. Arendt, M. Badiale, T. Bartsch, Ph. Bénila