A two-component generalization of the reduced Ostrovsky equation and its integrable semi-discrete analogue
type: Item
instance of: scholarly article
title: A two-component generalization of the reduced Ostrovsky equation and its integrable semi-discrete analogue
zbMATH Open document ID: 1368.37077
DOI: 10.1088/1751-8121/50/5/055201
author: Bao-Feng Feng
author: Ken-Ichi Maruno
author: Yasuhiro Ohta
published in: Journal of Physics A: Mathematical and Theoretical
publication date: 2017-03-03T00:00:00Z
full work available at URL: https://arxiv.org/abs/1609.00326
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37K40
Mathematics Subject Classification ID: 37K60
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 6691709
zbMATH Keywords: BKP hierachy
zbMATH Keywords: hodograph transform
zbMATH Keywords: two-component reduced Ostrovsky equation
zbMATH Keywords: short wave model
zbMATH Keywords: integrable discretization
MaRDI profile type: Publication
OpenAlex ID: W3101755785
arXiv ID: 1609.00326
cites work: On stationary solutions of the reduced Ostrovsky equation: periodic waves, compactons and compound solitons
cites work: Explicit solutions of the reduced Ostrovsky equation
cites work: Solitons in a nonlinear model medium
cites work: High-frequency soliton-like waves in a relaxing medium
cites work: The two loop soliton solution of the Vakhnenko equation
cites work: Q4719521
cites work: The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method.
cites work: Wave Breaking in the Ostrovsky–Hunter Equation
cites work: Hamiltonian structures for the Ostrovsky-Vakhnenko equation
cites work: The Ostrovsky–Vakhnenko equation by a Riemann–Hilbert approach
cites work: Prolongation algebras and Hamiltonian operators for peakon equations
cites work: Cusp and loop soliton solutions of short-wave models for the Camassa-Holm and Degasperis-Procesi equations
cites work: Q4508328
cites work: Multisoliton solutions of the Degasperis–Procesi equation and their peakon limit
cites work: The N -soliton solution of the Degasperis–Procesi equation
cites work: On the \(\tau \)-functions of the reduced Ostrovsky equation and the \(A^{(2)}_{2}\) two-dimensional Toda system
cites work: Integrable semi-discretizations of the reduced Ostrovsky equation
cites work: Q4828547
cites work: The Reduced Ostrovsky Equation: Integrability and Breaking
cites work: An integrable evolution equation for surface waves in deep water
cites work: Solitons and infinite dimensional Lie algebras
cites work: \(N\)-soliton solutions of model equations for shallow water waves
cites work: An integrable semi-discretization of the Camassa–Holm equation and its determinant solution
cites work: A self-adaptive moving mesh method for the Camassa-Holm equation
cites work: Integrable discretizations of the short pulse equation
cites work: A two-component generalization of the Degasperis–Procesi equation
cites work: A two-component generalization of the Camassa-Holm equation and its solutions
cites work: On negative flows of the AKNS hierarchy and a class of deformations of a bihamiltonian structure of hydrodynamic type
cites work: On an integrable two-component Camassa-Holm shallow water system
cites work: On the Hunter-Saxton system
cites work: Wave breaking and global existence for the generalized periodic two-component Hunter-Saxton system
cites work: Multi-soliton solution to the two-component Hunter-Saxton equation
description: scientific article