A note on the quasi-periodic solutions of the modified Boussinesq hierarchy
type: Item
instance of: scholarly article
title: A note on the quasi-periodic solutions of the modified Boussinesq hierarchy
zbMATH Open document ID: 1321.35191
author: Lihua Wu
author: Guo-Liang He
author: Xianguo Geng
published in: Journal of Geometry and Physics
publication date: 2015-08-21T00:00:00Z
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 14H70
Mathematics Subject Classification ID: 35C99
Mathematics Subject Classification ID: 35B10
zbMATH DE Number: 6474612
zbMATH Keywords: the modified Boussinesq hierarchy
zbMATH Keywords: explicit quasi-periodic solutions
zbMATH Keywords: trigonal curve
MaRDI profile type: Publication
full work available at URL: j.geomphys.2015.06.014
OpenAlex ID: W2195513028
cites work: Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions
cites work: Factorization of operators.II
cites work: Q3935915
cites work: Matrix finite-zone operators
cites work: The Periodic Cubic Schrõdinger Equation
cites work: Real finite-gap regular solutions of the Kaup-Boussinesq equation
cites work: An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy
cites work: Algebro-geometric solutions of the Camassa-Holm hierarchy
cites work: Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
cites work: The Camassa-Holm hierarchy, \(N\)-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold
cites work: Decomposition of the \((2+1)\)-dimensional Gardner equation and its quasi-periodic solutions
cites work: On the Riemann theta function of a trigonal curve and solutions of the Boussinesq and KP equations
cites work: Q3786856
cites work: Abelian functions for cyclic trigonal curves of genus 4
cites work: Abelian Functions for Trigonal Curves of Genus Three
cites work: Finite-gap potentials with trigonal curves
cites work: Q4295684
cites work: Q3974797
cites work: Monodromy of Boussinesq elliptic operators
cites work: Q4863652
cites work: A MATRIX ANALOGUE OF APPELL'S THEOREM AND REDUCTIONS OF MULTIDIMENSIONAL RIEMANN THETA-FUNCTIONS
cites work: Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
cites work: Q3895938
cites work: A New Approach to the Boussinesq Hierarchy
cites work: ALGEBRO-GEOMETRIC SOLUTIONS OF THE BOUSSINESQ HIERARCHY
cites work: Q4846449
cites work: Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
cites work: Q3931656
DOI: 10.1016/J.GEOMPHYS.2015.06.014
Recommended article: Quasi-periodic solutions for two dimensional modified Boussinesq equation
Recommended article: On quasi-periodic solutions for a generalized Boussinesq equation
Recommended article: Quasi-periodic solutions for a generalized higher-order Boussinesq equation
Recommended article: On quasiperiodic solutions of the modified Kadomtsev-Petviashvili hierarchy
Recommended article: On quasi-periodic solutions for generalized Boussinesq equation with quadratic nonlinearity
Recommended article: Quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation
Recommended article: Quasi-periodic solution of the \((2+1)\)-dimensional Boussinesq-Burgers soliton equation
Recommended article: Quasiperiodic solutions for dissipative Boussinesq systems
Recommended article: On the quasi-periodic solutions for generalized Boussinesq equation with higher order nonlinearity
Recommended article: Quasi-periodic solutions of generalized Boussinesq equation with quasi-periodic forcing
description: scientific article; zbMATH DE number 6474612