Model equations and traveling wave solutions for shallow-water waves with the Coriolis effect
type: Item
instance of: scholarly article
title: Model equations and traveling wave solutions for shallow-water waves with the Coriolis effect
zbMATH Open document ID: 1420.35238
author: Guilong Gui
author: Yue Liu
author: Ting Luo
published in: Journal of Nonlinear Science
publication date: 2019-07-08T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 35G25
Mathematics Subject Classification ID: 76U05
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 7077505
zbMATH Keywords: Coriolis effect
zbMATH Keywords: rotation-Camassa-Holm equation
zbMATH Keywords: rotation-KdV equation
zbMATH Keywords: rotation-Green-Naghdi equations
zbMATH Keywords: solitary waves
MaRDI profile type: Publication
full work available at URL: s00332-018-9510-x
OpenAlex ID: W2899658068
cites work: Comparisons between the BBM equation and a Boussinesq system
cites work: Large time existence for 3D water waves and asymptotics
cites work: Q3445246
cites work: An integrable shallow water equation with peaked solitons
cites work: Q4311808
cites work: On a shallow-water approximation to the Green-Naghdi equations with the Coriolis effect
cites work: Existence of permanent and breaking waves for a shallow water equation: a geometric approach
cites work: Wave breaking for nonlinear nonlocal shallow water equations
cites work: The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
cites work: Shallow water equations with a complete Coriolis force and topography
cites work: Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
cites work: The Lie algebra structure of degenerate Hamiltonian and bi-Hamiltonian systems.
cites work: Symplectic structures, their Bäcklund transformations and hereditary symmetries
cites work: A derivation of equations for wave propagation in water of variable depth
cites work: Evolution Equations for Weakly Nonlinear, Long Internal Waves in a Rotating Fluid
cites work: Wave-breaking and peakons for a modified Camassa-Holm equation
cites work: A nonlocal shallow-water model arising from the full water waves with the Coriolis effect
cites work: Q3033490
cites work: Camassa–Holm, Korteweg–de Vries and related models for water waves
cites work: Commutator estimates and the euler and navier-stokes equations
cites work: Traveling wave solutions of the Camassa-Holm equation
cites work: Classification of all travelling-wave solutions for some nonlinear dispersive equations
cites work: A shallow‐water approximation to the full water wave problem
cites work: Q5520417
Wikidata QID: Q128953384
DOI: 10.1007/S00332-018-9510-X
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description: scientific article; zbMATH DE number 7077505