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Ehrenpreis Type Representations and Their Riemann­Hilbert Nonlinearisation

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Publication:5346860
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DOI10.2991/jnmp.2003.10.s1.4zbMath1362.35131OpenAlexW2132163922MaRDI QIDQ5346860

Athanassios S. Fokas

Publication date: 30 May 2017

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2003.10.s1.4



Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Riemann-Hilbert problems in context of PDEs (35Q15)


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A local discontinuous Galerkin method for the Korteweg-de Vries equation with boundary effect



Cites Work

  • Unnamed Item
  • Integral formulas and an explicit version of the fundamental principle
  • Integrable nonlinear evolution equations on the half-line
  • Two–dimensional linear partial differential equations in a convex polygon
  • The Fundamental Differential Form and Boundary-Value Problems
  • A new transform method for evolution partial differential equations
  • Long-time asymptotics of moving boundary problems using an Ehrenpreis-type representation and its Riemann-Hilbert nonlinearization
  • Explicit integral solutions for the plane elastostatic semi-strip
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