In this chapter we review the theory of modulation equations orWhitham equations for the travelling wave solution of KdV. We then apply the Whitham modulation equations to describe the long-time asymptotics and small dispersion asymptotics of the KdV solution.

Whitham Modulation Equations and Application to Small Dispersion Asymptotics and Long Time Asymptotics of Nonlinear Dispersive Equations / Grava, Tamara. - 926(2016), pp. 309-335. [10.1007/978-3-319-39214-1_10]

Whitham Modulation Equations and Application to Small Dispersion Asymptotics and Long Time Asymptotics of Nonlinear Dispersive Equations

Grava, Tamara
2016

Abstract

In this chapter we review the theory of modulation equations orWhitham equations for the travelling wave solution of KdV. We then apply the Whitham modulation equations to describe the long-time asymptotics and small dispersion asymptotics of the KdV solution.
926
Rogue and shock waves in nonlinear dispersive media
309
335
https://arxiv.org/abs/1701.00069
http://dx.doi.org/10.1007/978-3-319-39214-1
Grava, Tamara
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/49010
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