Analysis of nonlinear wave equations and applications in engineering
نویسندگان
چکیده
Nonlinear dispersive wave equations arise naturally in scientific and engineering fields such as fluid dynamics, electromagnetic theory, quantum mechanics, optical communication, nonlinear optics etc. Many important questions (both in theory and applications) are related to the interaction of two effects: energy spreading (dispersion, diffraction) and energy concentrating (nonlinear self-trapping, defect modes,. . . ) mechanisms. For example, in Korteweg-deVries equation (KdV)
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