Numerical generation of periodic traveling wave solutions of some nonlinear dispersive wave systems

DOI10.1016/j.cam.2016.08.037zbMath1395.65112arXiv1505.05635OpenAlexW2244697508MaRDI QIDQ2406623

A. Durán, Jorge Alvarez

Publication date: 5 October 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.05635

zbMATH Keywords

nonlinear dispersive equationsperiodic traveling wavesiterative methods for nonlinear systemsfractional KdV equationPetviashvili type methodse-Boussinesq system

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Traveling wave solutions (35C07) Fractional partial differential equations (35R11)

Related Items (5)

On the existence, uniqueness, and stability of periodic waves for the fractional Benjamin–Bona–Mahony equation ⋮ Energy dissipating flows for solving nonlinear eigenpair problems ⋮ Convergence of Petviashvili's Method near Periodic Waves in the Fractional Korteweg--de Vries Equation ⋮ Orbital stability of periodic standing waves for the cubic fractional nonlinear Schrödinger equation ⋮ An efficient method to compute solitary wave solutions of fractional Korteweg–de Vries equations

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