Solitary wave solution and a linear mass-conservative difference scheme for the generalized Korteweg-de Vries-Kawahara equation
From MaRDI portal
Publication:2052321
DOI10.1007/s40314-021-01668-3zbMath1476.65283OpenAlexW3205595296MaRDI QIDQ2052321
Publication date: 25 November 2021
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-021-01668-3
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods for boundary value problems involving PDEs (65N06)
Related Items (4)
Darboux transformation, soliton solutions of the variable coefficient nonlocal modified Korteweg-de Vries equation ⋮ Conservative compact difference scheme for the generalized Korteweg-de Vries equation ⋮ Conservative compact difference scheme based on the scalar auxiliary variable method for the generalized Kawahara equation ⋮ A Legendre dual-Petrov-Galerkin spectral element method for the Kawahara-type equations
Cites Work
- Unnamed Item
- Unnamed Item
- A three-level average implicit finite difference scheme to solve equation obtained by coupling the Rosenau-KdV equation and the Rosenau-RLW equation
- Exact solitary solution and a three-level linearly implicit conservative finite difference method for the generalized Rosenau-Kawahara-RLW equation with generalized Novikov type perturbation
- Crank-Nicolson - differential quadrature algorithms for the Kawahara equation
- Solitary wave solutions of the high-order KdV models for bi-directional water waves
- Mixed problem for the Kawahara equation in a half-strip
- New exact solutions for the Kawahara equation using exp-function method
- Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation
- The Korteweg-de Vries equation in a quarter plane, continuous dependence results
- Periodic and solitary wave solutions of Kawahara and modified Kawahara equations by using Sine-Cosine method
- New solitary wave solutions to the modified Kawahara equation
- He's variational method for the Benjamin-Bona-Mahony equation and the Kawahara equation
- Solitary wave solution for the generalized Kawahara equation
- Solitons and periodic solutions for the fifth-order KdV equation
- An explicit and numerical solutions of some fifth-order KdV equation by decomposition method
- A three-level linear implicit conservative scheme for the Rosenau-KdV-RLW equation
- A new implicit energy conservative difference scheme with fourth-order accuracy for the generalized Rosenau-Kawahara-RLW equation
- A linearly implicit conservative difference scheme for the generalized Rosenau-Kawahara-RLW equation
- Stability analysis of a high-order finite-difference scheme for the Korteweg-de Vries equation with non-homogeneous boundaries
- Performance of compact and non-compact structure preserving algorithms to traveling wave solutions modeled by the Kawahara equation
- A high-order accurate finite difference scheme for the KdV equation with time-periodic boundary forcing
- On the identification of nonlinear terms in the generalized Camassa-Holm equation involving dual-power law nonlinearities
- The Korteweg-de Vries-Kawahara equation in a bounded domain and some numerical results
- Global existence of solutions for the Cauchy problem of the Kawahara equation with \(L^2\) initial data
This page was built for publication: Solitary wave solution and a linear mass-conservative difference scheme for the generalized Korteweg-de Vries-Kawahara equation
