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Publication - Professor Tamara Grava

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

    Citation

    Grava, T, 2016, ‘Whitham Modulation Equations and Application to Small Dispersion Asymptotics and Long Time Asymptotics of Nonlinear Dispersive Equations’. in: Miguel Onorato, Stefania Resitori, Fabio Baronio (eds) Rogue and Shock Waves in Nonlinear Dispersive Media. Springer, pp. 309-335

    Abstract

    In this chapter we review the theory of modulation equations or Whitham 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.

    Full details in the University publications repository