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- World Scientific Publishing Company 1991; US$ 139.00
- Cambridge University Press 2003; US$ 92.00
This book presents a detailed mathematical analysis of scattering theory, obtains soliton solutions, and analyzes soliton interactions, both scalar and vector. more...
- Wiley 2012; US$ 150.00
A pioneer in the field presents the first book on nematicons, spatial optical solitons in nematic liquid crystals Little more than a decade after they were first demonstrated, nematicons have become an important area of research worldwide. This wide-ranging introduction is the first comprehensive collection of scientific work on optical spatial... more...
- De Gruyter 2014; US$ 182.00
The Dirac equation is of fundamental importance for relativistic quantum mechanics and quantum electrodynamics, representing the one-particle wave equation of motion for electrons in an external electromagnetic field. In this monograph, all propagators of a particle, i.e., the various Green's functions, are constructed in a certain way... more...
- Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 269.00
Deals with the theoretical, analytical and advanced numerical study of the structure and dynamics of one-dimensional as well as two- and three-dimensional solitons and nonlinear waves described by Korteweg-de Vries (KdV), Kadomtsev-Petviashvili (KP), nonlinear Schrodinger (NLS) and derivative NLS (DNLS) classes of equations. more...
- CRC Press 2006; US$ 125.95
INTRODUCTION History Optical Waveguides THE NONLINEAR SCHRÖDINGER EQUATION Introduction Traveling Waves Integrals of Motion Parameter Evolution Quasi-Stationary Solution KERR LAW NONLINEARITY Introduction Traveling Wave Solution Inverse Scattering Transform Integrals of Motion Variational Principle Quasi-Stationary Solution Lie Transform ... more...
- World Scientific Publishing Company 2008; US$ 134.00
These lecture notes review recent results on the high-frequency analysis of nonlinear Schrödinger equations in the presence of an external potential. The book consists of two relatively independent parts: WKB analysis, and caustic crossing. In the first part, the basic linear WKB theory is constructed and then extended to the nonlinear framework. The... more...
- Elsevier Science 1991; US$ 72.95
When soliton theory, based on water waves, plasmas, fiber optics etc., was developing in the 1960-1970 era it seemed that perhaps KdV (and a few other equations) were really rather special in the set of all interesting partial differential equations. As it turns out, although integrable systems are still special, the mathematical interaction of integrable... more...
- World Scientific Publishing Company 1996; US$ 96.00
In the 25 years of its existence Soliton Theory has drastically expanded our understanding of “integrability” and contributed a lot to the reunification of Mathematics and Physics in the range from deep algebraic geometry and modern representation theory to quantum field theory and optical transmission lines.The book is a systematic introduction... more...