Dissipative perturbations for the \(K(n, n)\) Rosenau-Hyman equation
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Publication:1948192
DOI10.1016/j.cnsns.2012.05.017zbMath1263.35192arXiv1208.3945OpenAlexW2167576008MaRDI QIDQ1948192
Julio Garralón, Francisco R. Villatoro
Publication date: 2 May 2013
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.3945
solitonscompactonssoliton perturbation theory\(K(n,n)\) Rosenau-Hyman equationadiabatic perturbation method
Related Items (3)
New iterative approach for the solutions of fractional order inhomogeneous partial differential equations ⋮ Removing trailing tails and delays induced by artificial dissipation in Padé numerical schemes for stable compacton collisions ⋮ The comparison study of hybrid method with RDTM for solving Rosenau-Hyman equation
Cites Work
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- Time-stepping in Petrov-Galerkin methods based on cubic B-splines for compactons
- New exact explicit peakon and smooth periodic wave solutions of the \(K(3,2)\) equation
- Bright and dark soliton solutions for a \(K(m,n)\) equation with \(t\)-dependent coefficients
- Dynamical behavior of loop solutions for the \(K(2, 2)\) equation
- Adiabatic parameter dynamics of perturbed solitary waves
- 1-soliton solution of the \(K(m,n)\) equation with generalized evolution
- The method and topological soliton solution of the \(K(m, n)\) equation
- A numerical study of adding an artificial dissipation term for solving the nonlinear dispersive equations \(K(n,n)\)
- Nonlinear reaction-diffusion models of self-organization and deterministic chaos: theory and possible applications to description of electrical cardiac activity and cardiovascular circulation
- Soliton perturbation theory for the compound KdV equation
- Soliton perturbation theory for nonlinear wave equations
- 1-soliton solution of the \(K(m,n)\) equation with generalized evolution and time-dependent damping and dispersion
- Compact and noncompact dispersive patterns
- Adiabatic perturbations for compactons under dissipation and numerically-induced dissipation
- A repository of equations with cosine/sine compactons
- Patterns on liquid surfaces: Cnoidal waves, compactons and scaling
- A finite difference scheme for the \(K(2,2)\) compacton equation
- Multiple scale and singular perturbation methods
- On solitons, compactons, and Lagrange maps.
- On nonanalytic solitary waves formed by a nonlinear dispersion.
- Padé numerical method for the Rosenau-Hyman compacton equation
- Phase compactons
- Perturbation of dispersive topological solitons
- Adiabatic Perturbations of Solitons and Shock Waves
- Nonlinear Dispersion and Compact Structures
- Compactons: Solitons with finite wavelength
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