Compacton-anticompacton collisions in the Rosenau-Hyman \(K(p,p)\) equation by numerical simulations with hyperviscosity
DOI10.1016/j.cnsns.2022.106927zbMath1504.35442OpenAlexW4304128266MaRDI QIDQ2108674
Francisco Rus, Francisco R. Villatoro, Rubén Garralón-López
Publication date: 20 December 2022
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.106927
Numerical computation using splines (65D07) KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for initial value problems involving ordinary differential equations (65L05) Soliton equations (35Q51) Blow-up in context of PDEs (35B44) Soliton solutions (35C08) Strong solutions to PDEs (35D35)
Cites Work
- Numerical interactions between compactons and kovatons of the Rosenau-Pikovsky \(K(\cos)\) equation
- A numerical study of adding an artificial dissipation term for solving the nonlinear dispersive equations \(K(n,n)\)
- Removing trailing tails and delays induced by artificial dissipation in Padé numerical schemes for stable compacton collisions
- Linear dispersive equations of Airy type
- Adiabatic perturbations for compactons under dissipation and numerically-induced dissipation
- A repository of equations with cosine/sine compactons
- A numerical study of compactons
- A finite difference scheme for the \(K(2,2)\) compacton equation
- Stability and interaction of compactons in the sublinear KdV equation
- Compact patterns in a class of sublinear Gardner equations
- Compacton equations and integrability: the Rosenau-Hyman and Cooper-Shepard-Sodano equations
- Self-similar radiation from numerical Rosenau-Hyman compactons
- Padé numerical method for the Rosenau-Hyman compacton equation
- Symmetry-preserving difference models of some high-order nonlinear integrable equations
- Ill-posedness of degenerate dispersive equations
- Third-order nonlinear dispersive equations: Shocks, rarefaction, and blowup waves
- Compactons: Solitons with finite wavelength
- Traveling wave solutions of the K(m, n) equation with generalized evolution
- Loss of regularity in the ${K(m, n)}$ equations
- Compactons
- Approximate analytic compacton solutions of the K(p,p) equation by reduced differential transform method
- BIFURCATION OF TRAVELING WAVE SOLUTIONS OF THE <inline-formula><tex-math id="M1">$K(M, N)$</tex-math></inline-formula> EQUATION WITH GENERALIZED EVOLUTION TERM
This page was built for publication: Compacton-anticompacton collisions in the Rosenau-Hyman \(K(p,p)\) equation by numerical simulations with hyperviscosity
