Abstract
This chapter is devoted to the modulation of a weakly nonlinear wave train in the case where a mean field is driven due to quadratic nonlinearities. The analysis is presented in the context of a scalar problem, first in a general framework and then exemplified on a few simple wave equations. An example of degenerate case is also presented.
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© 1999 Springer-Verlag New York, Inc.
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(1999). Mean Field Generation. In: Sulem, C., Sulem, PL. (eds) The Nonlinear Schrödinger Equation: Self-Focusing and Wave Collapse. Applied Mathematical Sciences, vol 139. Springer, New York, NY. https://doi.org/10.1007/978-0-387-22768-9_10
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DOI: https://doi.org/10.1007/978-0-387-22768-9_10
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98611-1
Online ISBN: 978-0-387-22768-9
eBook Packages: Springer Book Archive