Over the past thirty years significant progress has been made in the investigation of nonlinear waves--including "soliton equations", a class of nonlinear wave equations that arise frequently in such areas as nonlinear optics, fluid dynamics, and statistical physics. The broad interest in this field
Discrete and Continuous Nonlinear Schredinger Systems
✍ Scribed by M. J. Ablowitz, B. Prinari, A. D. Trubatch
- Publisher
- Cambridge University Press
- Year
- 2004
- Tongue
- English
- Leaves
- 268
- Series
- London Mathematical Society Lecture Note Series
- Category
- Library
No coin nor oath required. For personal study only.
✦ Synopsis
Ablowitz (University of Colorado-Boulder) offers a self-contained presentation of the inverse scattering transform (IST) as applied to nonlinear Schrödinger (NLS) systems. Detailed mathematical analysis of the scattering theory is presented, soliton solutions are obtained, and soliton interactions are analyzed. Coverage encompasses aspects of the scattering theory, vector-soliton interactions, and the IST for well-known discrete systems.
✦ Subjects
Математика;Математическая физика;
📜 SIMILAR VOLUMES
In recent years there have been important and far reaching developments in the study of nonlinear waves and a class of nonlinear wave equations which arise frequently in applications. The wide interest in this field comes from the understanding of special waves called 'solitons' and the associated d
Over the past thirty years significant progress has been made in the investigation of nonlinear waves--including "soliton equations", a class of nonlinear wave equations that arise frequently in such areas as nonlinear optics, fluid dynamics, and statistical physics. The broad interest in this field
Over the past thirty years significant progress has been made in the investigation of nonlinear waves--including "soliton equations", a class of nonlinear wave equations that arise frequently in such areas as nonlinear optics, fluid dynamics, and statistical physics. The broad interest in this field
Over the past thirty years significant progress has been made in the investigation of nonlinear waves--including "soliton equations", a class of nonlinear wave equations that arise frequently in such areas as nonlinear optics, fluid dynamics, and statistical physics. The broad interest in this field
<p><p>This book commemorates the 60th birthday of Dr. Wim van Horssen, a specialist in nonlinear dynamic and wave processes in solids, fluids and structures. In honor of Dr. Horssen’s contributions to the field, it presents papers discussing topics such as the current problems of the theory of nonli