Derivation of Korteweg-de Vries flow equations from the regularized long-wave (RLW) equation

DOI10.1016/j.amc.2011.07.045zbMath1229.35249OpenAlexW2072219272MaRDI QIDQ654716

Murat Koparan, Mehmet Naci Özer

Publication date: 29 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.07.045

zbMATH Keywords

KdV equationmultiple-time scalesregularized long-wave (RLW) equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (2)

Parametric spline solution of the regularized long wave equation ⋮ Modification of quintic B-spline differential quadrature method to nonlinear Korteweg-de Vries equation and numerical experiments

Cites Work

• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Multi-scale expansions in the theory of systems integrable by the inverse scattering transform
• Symmetries and Integrability
• Application of hereditary symmetries to nonlinear evolution equations
• A symmetry approach to exactly solvable evolution equations
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• The Korteweg–de Vries hierarchy and long water-waves
• Boussinesq solitary-wave as a multiple-time solution of the Korteweg–de Vries hierarchy
• Model equations for long waves in nonlinear dispersive systems

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