Nonlinear Dispersive Equations
Christian Klein, Jean-Claude Saut
Springer International Publishing 
Naturwissenschaften, Medizin, Informatik, Technik / Analysis
Beschreibung
Nonlinear Dispersive Equations are partial differential equations that naturally arise in physical settings where dispersion dominates dissipation, notably hydrodynamics, nonlinear optics, plasma physics and Bose–Einstein condensates. The topic has traditionally been approached in different ways, from the perspective of modeling of physical phenomena, to that of the theory of partial differential equations, or as part of the theory of integrable systems.
By presenting and comparing results from different fields, the book aims to stimulate scientific interactions and attract new students and researchers to the topic. To facilitate this, the chapters can be read largely independently of each other and the prerequisites have been limited to introductory courses in PDE theory.
Kundenbewertungen
Integrable systems, Numerical Simulation, nonlinear dispersive equations as asymptotic models, Davey-Stewartson systems, Benjamin-Ono equation, Partial Differential Equations, Dispersive shock waves, Kadomtsev-Petviasvili equations, Inverse scattering and complete integrability, Soliton resolution