Compacton solutions of the Korteweg-de Vries equation with constrained nonlinear dispersion
DOI10.1134/S0965542519010147zbMath1426.35205OpenAlexW2946348026MaRDI QIDQ2314202
Publication date: 19 July 2019
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0965542519010147
KdV equationsolitoncompactonpeakonmKdV equationRosenau-Hyman equationkovatonRosenau-Pikovsky equation\(\mathrm{K}(m,n)\) equationK(cos) equationpeakocompacton
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) KdV equations (Korteweg-de Vries equations) (35Q53) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Soliton equations (35Q51)
Related Items (1)
Cites Work
- Unnamed Item
- Numerical interactions between compactons and kovatons of the Rosenau-Pikovsky \(K(\cos)\) equation
- Local discontinuous Galerkin methods for nonlinear dispersive equations
- Removing trailing tails and delays induced by artificial dissipation in Padé numerical schemes for stable compacton collisions
- Compact and noncompact dispersive patterns
- Petrov-Galerkin methods for nonlinear dispersive waves
- On a class of nonlinear dispersive-dissipative interactions
- A finite difference scheme for the \(K(2,2)\) compacton equation
- Numerical evaluation of compactons and kovatons of the \(K(\cos)\) Rosenau-Pikovsky equation
- Compactons in a class of nonlinearly quintic equations
- On nonanalytic solitary waves formed by a nonlinear dispersion.
- Numerical analysis of soliton solutions of the modified Korteweg-de Vries-sine-Gordon equation
- Padé numerical method for the Rosenau-Hyman compacton equation
- Adaptive method of lines solutions for the extended fifth-order Korteweg-de Vries equation
- Numerical study of Peakons and k-Solitons of the Camassa-Holm and Holm-Hone equations
- Application of the quasi-spectral fourier method to soliton equations
- Negaton and positon solutions of the KdV and mKdV hierarchy
- An integrable shallow water equation with peaked solitons
- Nonlinear Dispersion and Compact Structures
- Compactons: Solitons with finite wavelength
- Particle methods for dispersive equations
This page was built for publication: Compacton solutions of the Korteweg-de Vries equation with constrained nonlinear dispersion