Explicit solutions and numerical simulations for an asymptotic water waves model with surface tension
type: Item
instance of: scholarly article
title: Explicit solutions and numerical simulations for an asymptotic water waves model with surface tension
zbMATH Open document ID: 1481.76045
author: Mohammad Haidar
author: Toufic El Arwadi
author: Samer Israwi
published in: Journal of Applied Mathematics and Computing
publication date: 2021-11-29T00:00:00Z
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 76B45
Mathematics Subject Classification ID: 76M45
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 7435113
zbMATH Keywords: water wave
zbMATH Keywords: Green-Naghdi equations
zbMATH Keywords: Boussinesq system
zbMATH Keywords: KdV equation
zbMATH Keywords: surface tension
zbMATH Keywords: Whitham method
zbMATH Keywords: uneven bottom
MaRDI profile type: Publication
full work available at URL: s12190-020-01333-8
OpenAlex ID: W3012018890
cites work: Application of Residual Power Series Method for the Solution of Time-fractional Schrödinger Equations in One-dimensional Space
cites work: Numerical Algorithm for the Solutions of Fractional Order Systems of Dirichlet Function Types with Comparative Analysis
cites work: Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense
cites work: Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC fractional Volterra integro-differential equations
cites work: Rigorous asymptotic models of water waves
cites work: Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
cites work: On the well-posedness and large-time behavior of higher order Boussinesq system
cites work: An existence theory for water waves and the boussinesq and korteweg-devries scaling limits
cites work: A derivation of equations for wave propagation in water of variable depth
cites work: Existence of a regular solution for 1D Green-Naghdi equations with surface tension at a large time instant
cites work: Variable depth KdV equations and generalizations to more nonlinear regimes
cites work: Large time existence for 1D Green-Naghdi equations
cites work: An explicit solution with correctors for the Green-Naghdi equations
cites work: Local well-posedness of a nonlinear KdV-type equation
cites work: Well-posedness of the water-waves equations
cites work: Q4924170
cites work: Well-posedness in Sobolev spaces of the full water wave problem in 2D
cites work: Well-posedness in Sobolev spaces of the full water wave problem in 3-D
cites work: Gravity waves on the free surface of an incompressible perfect fluid of finite depth
DOI: 10.1007/S12190-020-01333-8
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description: scientific article; zbMATH DE number 7435113