Approximate traveling wave solutions for coupled Whitham-Broer-Kaup shallow water

DOI10.1016/j.advengsoft.2010.05.008zbMath1372.76078OpenAlexW1965798456MaRDI QIDQ994233

S. S. Ganji, Houman B. Rokni, M. G. Sfahani, Davood Domairry Ganji

Publication date: 17 September 2010

Published in: Advances in Engineering Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.advengsoft.2010.05.008

zbMATH Keywords

approximate solutiontraveling waveshallow water equation (SWE)homotopy perturbation methodapproximate long wave (ALW)coupled Whitham-Broer-Kaup (WBK)

Mathematics Subject Classification ID

Related Items (10)

Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by adomian decomposition method ⋮ New exact solutions for the seventh-order time fractional Sawada–Kotera–Ito equation via various methods ⋮ Approximations for period-1 rotation of vertically and horizontally excited parametric pendulum ⋮ Numerical solution of nonlinear Jaulent-Miodek and Whitham-Broer-Kaup equations ⋮ Approximate traveling wave solution for shallow water wave equation ⋮ Approximations for large deflection of a cantilever beam under a terminal follower force and nonlinear pendulum ⋮ Approximate analytical solutions of fractional gas dynamic equations ⋮ Generation of waves due to a disturbance on the running stream ⋮ The spreading residue harmonic balance method for strongly nonlinear vibrations of a restrained cantilever beam ⋮ Analytical solution for a suspension bridge by applying HPM and VIM

Cites Work

• Unnamed Item
• Application of homotopy perturbation method to the RLW and generalized modified Boussinesq equations
• The extended \(\left( \frac {G^{\prime}}{G}\right)\)-expansion method and its applications to the Whitham-Broer-Kaup-like equations and coupled Hirota-Satsuma KdV equations
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• Application of the variational iteration method to the Whitham-Broer-Kaup equations
• Variational approach to solitons of nonlinear dispersive \(K(m, n)\) equations
• Approximate traveling wave solutions of coupled Whitham-Broer-Kaup shallow water equations by homotopy analysis method
• An approximation of the analytical solution of the linear and nonlinear integro-differential equations by homotopy perturbation method
• Kinematics of an offset 3-UPU translational parallel manipulator by the homotopy continuation method
• Periodic solution for strongly nonlinear vibration systems by He's energy balance method
• Solving ratio-dependent predator-prey system with constant effort harvesting using homotopy perturbation method
• Higher-order solutions of coupled systems using the parameter expansion method
• Application of exp-function method to the Whitham-Broer-Kaup shallow water model using symbolic computation
• Exact travelling wave solutions of the Whitham-Broer-Kaup and Broer-Kaup-Kupershmidt equations
• Homotopy perturbation method: a new nonlinear analytical technique
• Solution of shallow-water equations using least-squares finite-element method
• Analytical solution to nonlinear oscillation system of the motion of a rigid rod rocking back using max-min approach
• Homotopy perturbation technique
• Nonlinear oscillator with discontinuity by parameter-expansion method
• Application of He's variational iteration method for solving the Cauchy reaction-diffusion problem
• Construction of solitary solution and compacton-like solution by variational iteration method
• Variational approach for nonlinear oscillators
• Exact and numerical traveling wave solutions of Whitham-Broer-Kaup equations
• A Higher-Order Water-Wave Equation and the Method for Solving It
• Numerical study of homotopy-perturbation method applied to Burgers equation in fluid
• The use of the decomposition procedure of Adomian for solving a delay differential equation arising in electrodynamics
• Approximate equations for long water waves
• Solution of a partial differential equation subject to temperature overspecification by He's homotopy perturbation method
• APPLICATION OF He's VARIATIONAL ITERATION METHOD AND ADOMIAN'S DECOMPOSITION METHOD TO PROCHHAMMER–CHREE EQUATION
• He's ENERGY BALANCE AND He's VARIATIONAL METHODS FOR NONLINEAR OSCILLATIONS IN ENGINEERING
• Variational methods and applications to water waves
• Application of amplitude-frequency formulation to nonlinear oscillation system of the motion of a rigid rod rocking back
• Explicit and exact traveling wave solutions of Whitham-Broer-Kaup shallow water equations

This page was built for publication: Approximate traveling wave solutions for coupled Whitham-Broer-Kaup shallow water