Short description This book introduces and develops mathematical techniques for the treatment of nonlinear waves and singular perturbation methods at a level suitable for graduate students, researchers and faculty throughout the natural sciences and engineering.
From the contents 1. Introduction 2. Ordinary Differential Equations and Asymptotic Methods 3. Excitable Media 1: Pulses, Fronts, Wave Trains in Continuous Media 4. Excitable Media 2: Discrete Systems 5. Electronic Transport in Condensed Matter: From Quantum Kinetics to Drift-Diffusion Models 6. Bulk Semiconductor Systems: The Gunn Effect 7. Bulk Semiconductor Systems: The Case of Field-Dependent Trapping 8. Semiconductor Superlattices 9. Application to other Systems and the Road ahead Appendix A: Review of Basic Concepts of Solid State Physics Appendix B: Detailed Arguments to go from Quantum Kinetic Equations to Boltzmann Transport Appendix C: Details and Examples of Numerical Methods employed for Simulation Appendix D: Glossary of Terms
