Mathematical studies in nonlinear wave propagation : NSF-CBMS Regional Research Conference on Mathematical Methods in Nonlinear Wave Propagation, North Carolina A&T State University, Greensboro, North Carolina, May 15-19, 2002
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Bibliographic Information
Mathematical studies in nonlinear wave propagation : NSF-CBMS Regional Research Conference on Mathematical Methods in Nonlinear Wave Propagation, North Carolina A&T State University, Greensboro, North Carolina, May 15-19, 2002
（Contemporary mathematics, v. 379）
American Mathematical Society, c2005
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Nonlinear wave propagation
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Includes bibliographical references
Description and Table of Contents
Description
Lively discussions and stimulating research were part of a five-day conference on Mathematical Methods in Nonlinear Wave Propagation sponsored by the NSF and CBMS. This volume is a collection of lectures and papers stemming from that event. Leading experts present dynamical systems and chaos, scattering and spectral theory, nonlinear wave equations, optimal control, optical waveguide design, and numerical simulation. The book is suitable for a diverse audience of mathematical specialists interested in fiber optic communications and other nonlinear phenomena. It is also suitable for engineers and other scientists interested in the mathematics of nonlinear wave propagation.
Table of Contents
An introduction to wave equations by R. E. Mickens On the Zakharov-Shabat eigenvalue problem by M. Klaus Solitons and inverse scattering transform by T. Aktosun A tail-matching method for the linear stability of multi-vector-soliton bound states by J. Yang Trapping light with grating defects by R. H. Goodman, R. E. Slusher, M. I. Weinstein, and M. Klaus Thermo-elastic-plastic transition by B. N. Borah Regularized quasi-Newton method with continuous inversion of $F'+\varepsilon I$ for monotone ill-posed operator equations by A. B. Smirnova Transition layers for a singularly perturbed neutral delay differential equation by W. Huang Nonlinear aeroacoustics computations by the CE/SE method by C. Y. Loh Robust and simple non-reflecting boundary conditions for the Euler equations-A new approach based on the space-time CE/SE method by S. C. Chang, A. Himansu, C. Y. Loh, X. Y. Wang, and S. T. Yu Physical and numerical modeling of seismic wave propagation by G. Tang, D. Clemence, C. Jackson, Q. Lin, and V. Burbach.
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