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Self-similar solutions of the Korteweg-de Vries equation and potentials with a trivial s-matrix

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Publication:1260261
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DOI10.1007/BF01028846zbMath0412.35022OpenAlexW2091957389MaRDI QIDQ1260261

Ljudmila A. Bordag, Vladimir B. Matveev

Publication date: 1978

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01028846


zbMATH Keywords

self-similar solutionsrecursion formulasKorteweg-de Vries equationS-matrixpotentials


Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Representations of solutions to partial differential equations (35C99)


Related Items (2)

Completion problems and scattering problems for Dirac type differential equations with singularities ⋮ Perfectly invisible \( \mathcal{P}\mathcal{T} \)-symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry



Cites Work

  • Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
  • Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem


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