Numerical approximation of solitary waves of the Benjamin equation (Q2228818)

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Language	Label	Description	Also known as
English	Numerical approximation of solitary waves of the Benjamin equation	scientific article

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instance of

scholarly article

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title

Numerical approximation of solitary waves of the Benjamin equation (English)

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author

A. Durán

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Dimitrios Mitsotakis

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Vassilios A. Dougalis

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published in

Mathematics and Computers in Simulation

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publication date

19 February 2021

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zbMATH Keywords

Benjamin equation

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numerical computation of solitary waves

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numerical continuation

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spectral methods

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.matcom.2012.07.008

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cites work

Solitary-Wave Solutions of the Benjamin Equation

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Computation of time-periodic solutions of the Benjamin-Ono equation

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Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow

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Internal waves of permanent form in fluids of great depth

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A new kind of solitary wave

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Solitary and periodic waves of a new kind

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A Boussinesq system for two-way propagation of nonlinear dispersive waves

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Solitons from sine waves: Analytical and numerical methods for non- integrable solitary and cnoidal waves

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Deleted residuals, the QR-factored Newton iteration, and other methods for formally overdetermined determinate discretizations of nonlinear eigenproblems for solitary, cnoidal, and shock waves

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Why Newton's method is hard for travelling waves: small denominators, KAM theory, Arnold's linear Fourier problem, non-uniqueness, constraints and erratic failure

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Comparison of three spectral methods for the Benjamin-Ono equation: Fourier pseudospectral, rational Christov functions and Gaussian radial basis functions

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Numerical and perturbative computations of solitary waves of the Benjamin-Ono equation with higher order nonlinearity using Christov rational basis functions

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A minimisation approach for computing the ground state of Gross-Pitaevskii systems

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A numerical study of the stability of solitary waves of the Bona-Smith family of Boussinesq systems

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Accuracy and conservation properties in numerical integration: The case of the Korteweg-de Vries equation

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Optimizing Schrödinger Functionals Using Sobolev Gradients: Applications to Quantum Mechanics and Nonlinear Optics

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Q5689624

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Q4531870

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Solving Ordinary Differential Equations I

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Models for internal waves in deep water

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A generalized Petviashvili iteration method for scalar and vector Hamiltonian equations with arbitrary form of nonlinearity

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A mode elimination technique to improve convergence of iteration methods for finding solitary waves

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On generalized Benjamin type equations

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Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations

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Numerical solution of some nonlocal, nonlinear dispersive wave equations

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Numerical continuation methods: a perspective

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The Discrete Cosine Transform

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Newton-conjugate-gradient methods for solitary wave computations

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Nonlinear Waves in Integrable and Nonintegrable Systems

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Accelerated Imaginary‐time Evolution Methods for the Computation of Solitary Waves

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Identifiers

DOI

10.1016/j.matcom.2012.07.008

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2228818