Finite genus solutions to the coupled Burgers hierarchy
type: Item
instance of: scholarly article
title: Finite genus solutions to the coupled Burgers hierarchy
zbMATH Open document ID: 1407.35171
author: Xue Bo
author: Xianguo Geng
author: Wei Liu
published in: Results in Mathematics
publication date: 2019-02-28T00:00:00Z
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37K20
zbMATH DE Number: 7031132
zbMATH Keywords: finite genus solutions
zbMATH Keywords: coupled Burgers hierarchy
zbMATH Keywords: trigonal curves
MaRDI profile type: Publication
full work available at URL: s00025-018-0934-2
OpenAlex ID: W2902435408
cites work: Q5838352
cites work: Remarks on the Burgers Equation
cites work: A finite element approach for solution of Burgers' equation
cites work: Efficient numerical techniques for Burgers' equation
cites work: Theta functions and non-linear equations
cites work: On the Riemann theta function of a trigonal curve and solutions of the Boussinesq and KP equations
cites work: The Periodic Cubic Schrõdinger Equation
cites work: Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
cites work: Decomposition of the \((2+1)\)-dimensional Gardner equation and its quasi-periodic solutions
cites work: Algebro-geometric solutions of the Camassa-Holm hierarchy
cites work: Hyperelliptic quasi-periodic and soliton solutions of the nonlinear Schrödinger equation
cites work: Q4423191
cites work: An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy
cites work: Q3732103
cites work: An Inverse Spectral Problem Related to the Geng–Xue Two-Component Peakon Equation
cites work: Abundant lumps and their interaction solutions of \((3+1)\)-dimensional linear PDEs
cites work: Dynamics of interlacing peakons (and shockpeakons) in the Geng–Xue equation
cites work: The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation
cites work: Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
cites work: A New Approach to the Boussinesq Hierarchy
cites work: ALGEBRO-GEOMETRIC SOLUTIONS OF THE BOUSSINESQ HIERARCHY
cites work: Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions
cites work: 混合Boussinesq 方程的有限亏格解
cites work: Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy
cites work: A note on the quasi-periodic solutions of the modified Boussinesq hierarchy
cites work: Algebro-geometric solutions to the Manakov hierarchy
cites work: Quasi-periodic solutions to the hierarchy of four-component Toda lattices
cites work: Application of the trigonal curve to the Blaszak-Marciniak lattice hierarchy
cites work: Trigonal curves and algebro-geometric solutions to soliton hierarchies I
cites work: Trigonal curves and algebro-geometric solutions to soliton hierarchies II
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: Q4002564
Wikidata QID: Q128836437
DOI: 10.1007/S00025-018-0934-2
description: scientific article; zbMATH DE number 7031132