Solitary waves for the MRLW equation

DOI10.1016/j.aml.2009.01.020zbMath1179.65126OpenAlexW2092846166MaRDI QIDQ845613

Saleh M. Hassan, Kamal R. Raslan

Publication date: 29 January 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.01.020

zbMATH Keywords

quintic splinescollocationquadraticquarticMRLW equationcubic

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (14)

Multiple closed form solutions to some fractional order nonlinear evolution equations in physics and plasma physics ⋮ Mixed Galerkin finite element methods for modified regularized long wave equation ⋮ Solitary waves for power-law regularized long-wave equation and \(R(m,n)\) equation ⋮ Petrov-Galerkin finite element method for solving the MRLW equation ⋮ On the accuracy of some explicit and implicit methods for the inviscid GRLW equation subject to initial Gaussian conditions ⋮ Numerical approximation to a solution of the modified regularized long wave equation using quintic B-splines ⋮ Hyperbolic and trigonometric solutions for some nonlinear evolution equations ⋮ A Galerkin finite element method for numerical solutions of the modified regularized long wave equation ⋮ An efficient approach to numerical study of the MRLW equation with B-spline collocation method ⋮ Exact solutions for power-law regularized long-wave and \(R(m, n)\) equations with time-dependent coefficients ⋮ Approximate solution of MRLW equation in B-spline environment ⋮ Local momentum-preserving algorithms for the GRLW equation ⋮ Traveling wave solutions in closed form for some nonlinear fractional evolution equations related to conformable fractional derivative ⋮ Robust numerical scheme for nonlinear modified Burgers equation

Cites Work

• Application of cubic B-splines for numerical solution of the RLW equation
• An application of the decomposition method for the generalized KdV and RLW equations
• A numerical simulation of solitary-wave solutions of the generalized regularized long-wave equation.
• Collocation solution for RLW equation with septic spline
• Least-squares quadratic B-spline finite element method for the regularised long wave equation
• A finite difference scheme for the MRLW and solitary wave interactions
• A collocation method with cubic B-splines for solving the MRLW equation
• A computational method for the regularized long wave (RLW) equation
• A finite difference scheme for generalized regularized long-wave equation
• Collocation method using quadratic B-spline for the RLW equation
• A least-squares finite element scheme for the RLW equation
• Solitary waves of the splitted RLW equation
• Unnamed Item
• Unnamed Item

This page was built for publication: Solitary waves for the MRLW equation