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Whitham modulation equations and application to small dispersion asymptotics and long time asymptotics of nonlinear dispersive equations
Published 31 Dec 2016 in math-ph, math.AP, math.MP, and nlin.SI | (1701.00069v1)
Abstract: 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
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