A repository of equations with cosine/sine compactons
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Publication:1045825
DOI10.1016/j.amc.2009.07.035zbMath1181.35248OpenAlexW1986670101MaRDI QIDQ1045825
Francisco R. Villatoro, Francisco Rus
Publication date: 16 December 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.07.035
analytical solutionssolitonsnonlinear evolution equationscompactonsgeneralized Korteweg-de Vries equationsRosenau-Hyman \(K(n, n)\) equation
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton solutions (35C08)
Related Items (9)
On the nonlinear perturbation \(K(n, m)\) Rosenau-Hyman equation: a model of nonlinear scattering wave ⋮ Time-stepping in Petrov-Galerkin methods based on cubic B-splines for compactons ⋮ Numerical evaluation of compactons and kovatons of the \(K(\cos)\) Rosenau-Pikovsky equation ⋮ Removing trailing tails and delays induced by artificial dissipation in Padé numerical schemes for stable compacton collisions ⋮ Application of semi‐analytical methods for solving the Rosenau‐Hyman equation arising in the pattern formation in liquid drops ⋮ Dissipative perturbations for the \(K(n, n)\) Rosenau-Hyman equation ⋮ Compacton-anticompacton collisions in the Rosenau-Hyman \(K(p,p)\) equation by numerical simulations with hyperviscosity ⋮ Peakompactons: Peaked compact nonlinear waves ⋮ A hybrid computational scheme with convergence analysis for the dependent Rosenau-Hyman equation of arbitrary order via Caputo-Fabrizio operator
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