**Contemporary Mathematics**

Volume: 379;
2005;
213 pp;
Softcover

MSC: Primary 00; 35; 65;

Print ISBN: 978-0-8218-3349-0

Product Code: CONM/379

List Price: $69.00

Individual Member Price: $55.20

**Electronic ISBN: 978-0-8218-7969-6
Product Code: CONM/379.E**

List Price: $69.00

Individual Member Price: $55.20

# Mathematical Studies in Nonlinear Wave Propagation

Share this page *Edited by *
*Dominic P. Clemence; Guoqing Tang*

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

# Table of Contents

## Mathematical Studies in Nonlinear Wave Propagation

- Contents v6 free
- List of Participants ix10 free
- An Introduction to Wave Equations 112 free
- On the Zakharov-Shabat Eigenvalue Problem 2132
- Solitons and Inverse Scattering Transform 4758
- A Tail-Matching Method for the Linear Stability of Multi-Vector-Soliton Bound States 6374
- Trapping Light with Grating Defects 8394
- Thermo-Elastic-Plastic Transition 93104
- Regularized Quasi-Newton Method with Continuous Inversion of F'+εI for Monotone Ill-Posed Operator Equations 113124
- Transition Layers for a Singularly Perturbed Neutral Delay Differential Equation 125136
- Nonlinear Aeroacoustics Computations by the CE/SE Method 135146
- Robust and Simple Non-Reflecting Boundary Conditions for the Euler Equations-A New Approach Based on the Space-Time CE/SE Method 155166
- Physical and Numerical Modeling of Seismic Wave Propagation 191202

#### Readership

Graduate students and research mathematicians interested in nonlinear waves and applications to nonlinear optics.