On the convergence of the modified Rosenau and the modified Benjamin-Bona-Mahony equations
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Publication:1643244
DOI10.1016/j.camwa.2016.02.016zbMath1393.35202OpenAlexW2292103695MaRDI QIDQ1643244
Lorenzo di Ruvo, Giuseppe Maria Coclite
Publication date: 19 June 2018
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2016.02.016
singular limitcompensated compactnessentropy conditionmodified Benjamin-Bona-Mahony equationmodified Rosenau equation
Related Items (5)
A note on convergence of the solutions of Benjamin-Bona-Mahony type equations ⋮ DYNAMICAL BEHAVIOR OF THE LONG WAVES IN THE NONLINEAR DISPERSIVE MEDIA THROUGH ANALYTICAL AND NUMERICAL INVESTIGATION ⋮ A new conservative finite difference scheme for the generalized Rosenau-KdV-RLW equation ⋮ Numerical analysis of a new conservative scheme for the 2D generalized Rosenau-RLW equation ⋮ On the classical solutions for a Rosenau–Korteweg-deVries–Kawahara type equation
Cites Work
- A note on the convergence of the solutions of the Camassa-Holm equation to the entropy ones of a scalar conservation law
- A singular limit problem for conservation laws related to the Kawahara-Korteweg-de Vries equation
- A singular limit problem for conservation laws related to the Kawahara equation
- A new conservative nonlinear high-order compact finite difference scheme for the general Rosenau-RLW equation
- A singular limit problem for the Rosenau-Korteweg-de Vries-regularized long wave and Rosenau-regularized long wave equations
- Galerkin finite element method for the Rosenau-RLW equation
- A singular limit problem for conservation laws related to the Rosenau-Korteweg-de Vries equation
- On the convergence of a conservative numerical scheme for the usual Rosenau-RLW equation
- On ``new travelling wave solutions of the KdV and the KdV-Burgers equations
- A modified tanh-coth method for solving the KdV and the KdV-Burgers equations
- Nonlinear wave solutions and their relations for the modified Benjamin-Bona-Mahony equation
- A numerical method for KdV equation using collocation and radial basis functions
- Singular limit problem of the Camassa-Holm type equation
- Periodic and solitary wave solutions of Kawahara and modified Kawahara equations by using Sine-Cosine method
- A new conservative finite difference scheme for the Rosenau equation
- The embedding of the positive cone of $H^{-1}$ in $W^{-1,\,q}$ is compact for all $q<2$ (with a remark of Haim Brezis)
- New exact travelling wave solutions for the Kawahara and modified Kawahara equations
- Numerical solution of the regularized long wave equation using nonpolynomial splines
- Conservative linear difference scheme for Rosenau-KdV equation
- Singular solitons, shock waves, and other solutions to potential KdV equation
- Numerical solutions of boundary value problems for variable coefficient generalized KdV equations using Lie symmetries
- Solitary waves for power-law regularized long-wave equation and \(R(m,n)\) equation
- Solitary wave solution for KdV equation with power-law nonlinearity and time-dependent coefficients
- The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions
- Convergence of vanishing capillarity approximations for scalar conservation laws with discontinuous fluxes
- Convergence of the Ostrovsky equation to the Ostrovsky-Hunter one
- Convergence results related to the modified Kawahara equation
- Finite Difference Approximate Solutions for
- Convergence of solution to nonlinear dispersive equations
- Existence and Nonexistence of Solitary Wave Solutions to Higher-Order Model Evolution Equations
- A model for the two-way propagation of water waves in a channel
- Conservation laws with vanishing nonlinear diffusion and dispersion11This work was partially carried out during a visit of the first author to the Istituto per le Applicazioni del Calcolo.
- A second-order splitting combined with orthogonal cubic spline collocation method for the Rosenau equation
- Numerical methods for the rosenau equation
- Convergence of the regularized short pulse equation to the short pulse one
- Minimal entropy conditions for Burgers equation
- Finite element galerkin solutions for the rosenau equation
- Solitary Wave Solutions for Generalized Rosenau-KdV Equation
- A singular limit problem for conservation laws related to the Rosenau equation
- A Singular Limit Problem for Conservation Laws Related to the Camassa–Holm Shallow Water Equation
- Long waves on a beach
- Unnamed Item
- Unnamed Item
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