New exact solutions and numerical approximations of the generalized KdV equation
From MaRDI portal
Publication:5025484
DOI10.22034/cmde.2020.36253.1628zbMath1499.65668OpenAlexW3013397402MaRDI QIDQ5025484
Seydi Battal Gazi Karakoc, Khalid K. Ali
Publication date: 2 February 2022
Full work available at URL: https://cmde.tabrizu.ac.ir/article_10328_6373388662fb5de84854045e38e43e35.pdf
finite element methodsolitongeneralized Korteweg-de Vries equationGalerkincubic B-splineansatz method
Numerical computation using splines (65D07) KdV equations (Korteweg-de Vries equations) (35Q53) Finite element methods applied to problems in solid mechanics (74S05) Solitary waves for incompressible inviscid fluids (76B25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Solitary waves in solid mechanics (74J35)
Related Items (5)
Exact solutions of the space time-fractional Klein-Gordon equation with cubic nonlinearities using some methods ⋮ Obtaining soliton solutions of equations combined with the Burgers and equal width wave equations using a novel method ⋮ Conservative compact difference scheme for the generalized Korteweg-de Vries equation ⋮ Some exact wave solutions of nonlinear partial differential equations by means of comparison with certain standard ordinary differential equations ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Interaction of solitary waves for the generalized KdV equation
- Cosine expansion-based differential quadrature method for numerical solution of the KdV equation
- Exact solutions for modified Korteweg-de Vries equation
- A study on KdV and Gardner equations with time-dependent coefficients and forcing terms
- Bright and dark soliton solutions for a \(K(m,n)\) equation with \(t\)-dependent coefficients
- Exact solutions for coupled KdV equation and KdV equations
- 1-soliton solution of the \(K(m,n)\) equation with generalized evolution
- Bright and dark solitons of the generalized nonlinear Schrödinger's equation
- Some exact solutions of KdV equation with variable coefficients
- A new approach for numerical solution of modified Korteweg-de Vries equation
- A Hamiltonian preserving discontinuous Galerkin method for the generalized Korteweg-de Vries equation
- New \((3+1)\)-dimensional nonlinear evolution equations with mKdV equation constituting its main part: multiple soliton solutions
- Numerical solution for the KdV equation based on similarity reductions
- The exponential cubic B-spline algorithm for Korteweg-de Vries equation
- Numerical simulation of KdV and mKdv equations with initial conditions by the variational iteration method
- 1-soliton solution of the generalized KdV equation with generalized evolution
- 1-soliton solution of the \(K(m,n)\) equation with generalized evolution and time-dependent damping and dispersion
- Petrov-Galerkin methods for nonlinear dispersive waves
- A Hopscotch method for the Korteweg-de-Vries equation
- Solving partial differential equations by collocation using radial basis functions
- A small time solutions for the Korteweg-de Vries equation
- Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
- An application for a generalized KdV equation by the decomposition method
- A variety of \((3+1)\)-dimensional mKdV equations derived by using the mKdV recursion operator
- Two conservative difference schemes for a model of nonlinear dispersive equations
- The global domain of attraction and the initial value problems of a kind of GKdV equations
- An application for the higher order modified KdV equation by decomposition method
- Solitary wave solutions for the general KdV equation by Adomian decomposition method
- High-order conservative difference scheme for a model of nonlinear dispersive equations
- Numerical solutions of boundary value problems for variable coefficient generalized KdV equations using Lie symmetries
- Conservation laws for a generalized seventh order KdV equation
- Numerical solutions of KdV equation using radial basis functions
- Numerical solution of KdV equation using modified bernstein polynomials
- A small time solutions for the Korteweg--de Vries equation using spline approximation
- Numerical solution of Korteweg-de Vries equation by Galerkin B-spline finite element method
- On finite-difference methods for the Korteweg-de Vries equation
- On Stability of Some Finite Difference Schemes for the Korteweg-de Vries Equation
- Numerical algorithms for solutions of Korteweg-de Vries equation
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- A numerical and theoretical study of certain nonlinear wave phenomena
- Method for Solving the Korteweg-deVries Equation
- A new conservative fourth‐order accurate difference scheme for solving a model of nonlinear dispersive equations
- Collocation solution of the Korteweg–de Vries equation using septic splines
This page was built for publication: New exact solutions and numerical approximations of the generalized KdV equation
