Lie symmetries of generalized equal width wave equations

DOI10.3934/math.2021705OpenAlexW3194388507MaRDI QIDQ2142809

Muhammad Athar, Mobeen Munir, Sakhi Sarwar, Wasfi A. Shatanawi

Publication date: 30 May 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021705

zbMATH Keywords

reductionLie symmetrytravelling wave solutionoptimal systemSine-cosine methodgeneralized equal width wave equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Symmetries, invariants of ordinary differential equations (34C14) Applications of Lie groups to the sciences; explicit representations (22E70) Traveling wave solutions (35C07) Methods of ordinary differential equations applied to PDEs (35A24)

Related Items (3)

Lie symmetry analysis for the general classes of generalized modified Kuramoto-Sivashinsky equation ⋮ More solutions of coupled equal width wave equations arising in plasma and fluid dynamics ⋮ Lie symmetries of Benjamin-Ono equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Darboux transformation and explicit solutions to the generalized TD equation
• Application of the collocation method with B-splines to the GEW equation
• A Petrov-Galerkin method for solving the generalized equal width (GEW) equation
• Numerical solution of the modified equal width wave equation
• Numerical simulation of equal-width wave equation
• Lie symmetry analysis and exact solutions for the short pulse equation
• Scattering of regularized-long-wave solitary waves
• Solitary waves of the equal width wave equation
• The boundary forced MKdV 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.
• A least-squares finite element scheme for the EW equation
• Conservation laws and solutions of a generalized coupled (2+1)-dimensional Burgers system
• A meshfree method for numerical solution of nonhomogeneous time-dependent problems
• Inverse scattering for nonlocal reverse-time nonlinear Schrödinger equations
• The gradient discretisation method for linear advection problems
• Numerical investigations of shallow water waves via generalized equal width (GEW) equation
• Subdomain finite element method with quartic B-splines for the modified equal width wave equation
• A finite element method for equal width equation
• The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations
• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
• A numerical solution of the equal width wave equation by a lumped Galerkin method
• A cubic B-spline collocation method for the EW equation
• Algorithms for numerical solution of the modified equal width wave equation using collocation method
• Darboux transformations for a matrix long‐wave–short‐wave equation and higher‐order rational rogue‐wave solutions
• A lumped Galerkin method for the numerical solution of the modified equal-width wave equation using quadratic B-splines
• An Introduction to Domain Decomposition Methods
• Simulations of the EW undular bore
• Solitary waves for the generalized equal width (GEW) equation
• Lie symmetry analysis for obtaining exact soliton solutions of generalized Camassa–Holm–Kadomtsev–Petviashvili equation
• Lie symmetry analysis and traveling wave solutions of equal width wave equation
• Exact solutions for the ZK-MEW equation by using the tanh and sine–cosine methods
• Numerical solutions of the generalized equal width wave equation using the Petrov–Galerkin method
• Quadratic \(B\)-spline curve interpolation
• Lie symmetries, optimal system and group-invariant solutions of the \((3+1)\)-dimensional generalized KP equation

This page was built for publication: Lie symmetries of generalized equal width wave equations