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Zero-dispersion limit to the Korteweg-de Vries equation: a dressing chain approach

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Publication:652985
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DOI10.1134/S1560354708050043zbMath1229.35248OpenAlexW2066697568MaRDI QIDQ652985

Victor Yu. Novokshenov

Publication date: 6 January 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354708050043


zbMATH Keywords

wave collapseKdVdressing chainsmall dispersion limit


Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)




Cites Work

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  • Reflectionless potentials and soliton series of the KdV equation
  • The small dispersion limit of the Korteweg-de Vries equation. I
  • The korteweg-de vries equation with small dispersion: Higher order lax-levermore theory
  • The zero dispersion limit of the korteweg-de vries equation for initial potentials with non-trivial reflection coefficient
  • The infinite-dimensional dressing dynamical system
  • ASSOCIATED STURM-LIOUVILLE SYSTEMS


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