An efficient approach for the numerical solution of fifth-order KdV equations
DOI10.1515/math-2020-0036zbMath1475.65155OpenAlexW3046154426MaRDI QIDQ2053410
Shao-Wen Yao, Tufail A. Khan, Hijaz Ahmad
Publication date: 29 November 2021
Published in: Open Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/math-2020-0036
Korteweg-de Vries equationfifth-order KdV equationSawada-Kotera equationLax equationKawahara equationCaudrey-Dodd-Gibbon equationvariational iteration algorithm-II
KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
Related Items (6)
Cites Work
- Unnamed Item
- Notes on the optimal variational iteration method
- Solitons and periodic solutions for the fifth-order KdV equation with the Exp-function method
- Soliton solutions for the fifth-order KdV equation with the homotopy analysis method
- Variational iteration method: New development and applications
- Solitons and periodic solutions for the fifth-order KdV equation
- An explicit and numerical solutions of some fifth-order KdV equation by decomposition method
- On a generalized fifth order KdV equation
- Numerical methods for the solution of the third- and fifth-order dispersive Korteweg-de Vries equations
- Variational iteration method with an auxiliary parameter for solving wave-like and heat-like equations in large domains
- A fractal Boussinesq equation for nonlinear transverse vibration of a nanofiber-reinforced concrete pillar
- Generalized variational principles for buckling analysis of circular cylinders
- An efficient class of Traub-Steffensen-type methods for computing multiple zeros
- A variational principle for a thin film equation
- A comparative study between two different methods for solving the general Korteweg-de Vries equation (GKdV)
- A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
- A new hierarchy of Korteweg–de Vries equations
- Integrals of nonlinear equations of evolution and solitary waves
- The homogeneous balance method, Lax pair, Hirota transformation and a general fifth-order KdV equation
This page was built for publication: An efficient approach for the numerical solution of fifth-order KdV equations