It is appropriate at a meeting like this to present some substantial body of rather general theory, and I tried therefore to select material of this kind, that may be of interest to everyone in the audience, in the form of a general mathematical approach to treating a wide class of physical problems that involve waves. Accordingly, my first five lectures embody such a presentation. It is concerned with both linear and nonlinear aspects of waves, with the emphasis on dispersive waves, and mainly on waves in fluids.
KeywordsRiemann Surface Wave Packet Dispersive Wave Elliptic Case Hyperbolic Case
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