On the multi-symplectic structure of Boussinesq-type systems. I: Derivation and mathematical properties-Reference-Cited by-同舟云学术

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On the multi-symplectic structure of Boussinesq-type systems. I: Derivation and mathematical properties

Published:2019-01 Issue: Volume:388 Page:10-21
ISSN:0167-2789
Container-title:Physica D: Nonlinear Phenomena
language:en
Short-container-title:Physica D: Nonlinear Phenomena

Author:

Durán Angel,Dutykh Denys^ORCID,Mitsotakis Dimitrios^ORCID

Funder

Ministerio de Economía

Junta de Castilla y Leon and Fondos FEDER

Marsden Fund

Publisher

Elsevier BV

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference67 articles.

1. Essai sur la théorie des eaux courantes;Boussinesq;Mém. Présentés Divers Savants Acad. Sci. Inst. Nat. Fr.,1877

2. Defining and identifying Sleeping Beauties in science;Ke;Proc. Natl. Acad. Sci.,2015

3. Long waves on a beach;Peregrine;J. Fluid Mech.,1967

4. A review of Boussinesq-type equations for surface gravity waves;Madsen;Adv. Coast. Ocean Eng.,1999

5. Theory and numerical analysis of Boussinesq systems: A review;Dougalis,2008

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1. A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations;Communications in Computational Physics;2021-06

2. A Conservative Fully Discrete Numerical Method for the Regularized Shallow Water Wave Equations;SIAM Journal on Scientific Computing;2021-01

3. Linearly Implicit Local and Global Energy-Preserving Methods for PDEs with a Cubic Hamiltonian;SIAM Journal on Scientific Computing;2020-01

4. On the multi-symplectic structure of Boussinesq-type systems. II: Geometric discretization;Physica D: Nonlinear Phenomena;2019-10

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