Lie point symmetry preserving discretizations for variable coefficient Korteweg-de Vries equations

DOI10.1023/A:1008365224018zbMath0956.65081OpenAlexW1559034058MaRDI QIDQ1577388

Pavel Winternitz, Vladimir Dorodnitsyn

Publication date: 27 February 2001

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008365224018

zbMATH Keywords

Korteweg-de Vries equationdifference equationvariable coefficientsgroup invariant solutionslong waves in shallow waterLie point symmetry group

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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