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A note on the analytical solution to the modified perturbed Korteweg-de Vries equation.

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Publication:1855948
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DOI10.1016/S0096-3003(01)00297-1zbMath1135.35361OpenAlexW2011713923MaRDI QIDQ1855948

Hilmi Demiray

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(01)00297-1


zbMATH Keywords

Progressive wavesModified KdV equation


Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Perturbations in context of PDEs (35B20)


Related Items (3)

Weakly nonlinear waves in water of variable depth: variable-coefficient Korteweg-de Vries equation ⋮ New exact solutions for the variable coefficient modified KdV equation using direct reduction method ⋮ Painlevé property, Lax pair and Darboux transformation of the variable-coefficient modified Kortweg-de Vries model in fluid-filled elastic tubes




Cites Work

  • Solutions to the perturbed KdV equation
  • The inverse scattering transform: Semi-infinite interval
  • The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
  • Unnamed Item




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