Optimal homotopy asymptotic method to nonlinear damped generalized regularized long-wave equation

DOI10.1155/2013/503137zbMath1296.65139OpenAlexW2011588630WikidataQ59028187 ScholiaQ59028187MaRDI QIDQ460018

M. Idrees, Inayat Ali Shah, Hakeem Ullah, Saeed Islam, Rashid Nawaz

Publication date: 13 October 2014

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/503137

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Theoretical approximation in context of PDEs (35A35) Solutions to PDEs in closed form (35C05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Cites Work

• Unnamed Item
• Application of the optimal homotopy asymptotic method to squeezing flow
• Accurate analytical solutions to oscillators with discontinuities and fractional-power restoring force by means of the optimal homotopy asymptotic method
• Numerical solutions for the damped generalized regularized long-wave equation with a variable coefficient by Adomian decomposition method
• Approximate wave solutions for generalized Benjamin-Bona-Mahony-Burgers equations
• Some solutions of the linear and nonlinear Klein-Gordon equations using the optimal homotopy asymptotic method
• An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate
• Weak solutions for a nonlinear dispersive equation
• A numerical simulation of solitary-wave solutions of the generalized regularized long-wave equation.
• Numerical behaviour of stable and unstable solitary waves
• Exact solutions for two nonlinear wave equations with nonlinear terms of any order
• Explicit analytical approximation to large-amplitude non linear oscillations of a uniform cantilever beam carrying an intermediate lumped mass and rotary inertia
• Solitary waves of the EW and RLW equations
• A fully Galerkin method for the damped generalized regularized long‐wave (DGRLW) equation
• The initial-value problem for the Korteweg-de Vries equation
• Existence and Uniqueness for Periodic Solutions of the Benjamin–Bona–Mahony Equation
• Large-time behavior of solution for generalized Benjamin–Bona–Mahony–Burgers equations
• Model equations for long waves in nonlinear dispersive systems

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