Numerical solution of nonlinear Jaulent-Miodek and Whitham-Broer-Kaup equations

DOI10.1016/j.cnsns.2012.04.011zbMath1266.65176OpenAlexW2080728689MaRDI QIDQ1948187

Akbar Mohebbi, Mehdi Dehghan, Zohreh Asgari

Publication date: 2 May 2013

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2012.04.011

zbMATH Keywords

numerical examplesdiscrete Fourier transformsemidiscretizationintegrating factorspectral methodshigh accuracyexponential time differencingWhitham-Broer-Kaup equationJaulen-Miodek equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Numerical methods for discrete and fast Fourier transforms (65T50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items

On establishing qualitative theory to nonlinear boundary value problem of fractional differential equations, Hidden symmetries and exact solutions of integro-differential Jaulent-Miodek evolution equation, Jacobi-Gauss-Lobatto collocation method for the numerical solution of \(1+1\) nonlinear Schrödinger equations, Asymptotic behavior of solution of Whitham-Broer-Kaup type equations with negative dispersion, Solutions of nonlinear integro-partial differential equations by the method of \((G^\prime/G, 1/G)\), Application of \(\tan (\Phi (\xi )/2)\)-expansion method to solve some nonlinear fractional physical model, Analysis of the symmetries and conservation laws of the nonlinear Jaulent-Miodek equation, Bilinearization and new soliton solutions of Whitham-Broer-Kaup equations with time-dependent coefficients

Uses Software

• Matlab

Cites Work

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