Abstract
The Davey-Stewartson system (DS) that provides a canonical description of the amplitude dynamics of a weakly nonlinear two-dimensional wave packet when a mean field is driven by the modulation, is written in the form
where \( x = \left( {x,y} \right) \in R^2 ,t \in R,\sigma _1 = \pm 1,\sigma _2 = \pm 1 \). Furthermore, γ and α are constant parameters with γ > 0. A derivation of this system in the context of the surface water waves is given in Chapter 11.
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© 1999 Springer-Verlag New York, Inc.
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(1999). The Davey-Stewartson System. 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_12
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DOI: https://doi.org/10.1007/978-0-387-22768-9_12
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98611-1
Online ISBN: 978-0-387-22768-9
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