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  1. Zeitschrift für angewandte Mathematik und Physik
  2. Zeitschrift für angewandte Mathematik und Physik : Volume 65
  3. Zeitschrift für angewandte Mathematik und Physik : Volume 65, Issue 3, June 2014
  4. Algebro-geometric solutions for the Hunter–Saxton hierarchy
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Zeitschrift für angewandte Mathematik und Physik : Volume 67
Zeitschrift für angewandte Mathematik und Physik : Volume 66
Zeitschrift für angewandte Mathematik und Physik : Volume 65
Zeitschrift für angewandte Mathematik und Physik : Volume 65, Issue 6, December 2014
Zeitschrift für angewandte Mathematik und Physik : Volume 65, Issue 5, October 2014
Zeitschrift für angewandte Mathematik und Physik : Volume 65, Issue 4, August 2014
Zeitschrift für angewandte Mathematik und Physik : Volume 65, Issue 3, June 2014
Justification of a nonlinear Schrödinger model for laser beams in photopolymers
Transient electroosmotic flow of general Maxwell fluids through a slit microchannel
Global existence and blowup for a degenerate and singular parabolic system with nonlocal source and absorptions
Global existence, large time behavior, and life span for a degenerate parabolic equation with inhomogeneous density and source
Algebro-geometric solutions for the Hunter–Saxton hierarchy
A free boundary problem for a reaction-diffusion system with nonlinear memory
Longitudinal counterflow in turbulent liquid helium: velocity profile of the normal component
Thermodynamic forces in single crystals with dislocations
Modeling the onset of shear boundary layers in fibrous composite reinforcements by second-gradient theory
Zeitschrift für angewandte Mathematik und Physik : Volume 65, Issue 2, April 2014
Zeitschrift für angewandte Mathematik und Physik : Volume 65, Issue 1, February 2014
Zeitschrift für angewandte Mathematik und Physik : Volume 64
Zeitschrift für angewandte Mathematik und Physik : Volume 63
Zeitschrift für angewandte Mathematik und Physik : Volume 62
Zeitschrift für angewandte Mathematik und Physik : Volume 61
Zeitschrift für angewandte Mathematik und Physik : Volume 60
Zeitschrift für angewandte Mathematik und Physik : Volume 59
Zeitschrift für angewandte Mathematik und Physik : Volume 58
Zeitschrift für angewandte Mathematik und Physik : Volume 57
Zeitschrift für angewandte Mathematik und Physik : Volume 56
Zeitschrift für angewandte Mathematik und Physik : Volume 55
Zeitschrift für angewandte Mathematik und Physik : Volume 54
Zeitschrift für angewandte Mathematik und Physik : Volume 53
Zeitschrift für angewandte Mathematik und Physik : Volume 52
Zeitschrift für angewandte Mathematik und Physik : Volume 51
Zeitschrift für angewandte Mathematik und Physik : Volume 50
Zeitschrift für angewandte Mathematik und Physik : Volume 49
Zeitschrift für angewandte Mathematik und Physik : Volume 48

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Algebro-geometric solutions for the Hunter–Saxton hierarchy

Content Provider SpringerLink
Author Hou, Yu Fan, Engui Zhao, Peng
Copyright Year 2013
Abstract This paper is dedicated to provide theta function representations of algebro-geometric solutions and related crucial quantities for the Hunter–Saxton (HS) hierarchy through studying an algebro-geometric initial value problem. Our main tools include the polynomial recursive formalism, the hyperelliptic curve with finite number of genus, the Baker–Akhiezer functions, the meromorphic function, the Dubrovin-type equations for auxiliary divisors, and the associated trace formulas. With the help of these tools, the explicit representations of the algebro-geometric solutions are obtained for the entire HS hierarchy.
Ending Page 520
Page Count 34
Starting Page 487
File Format PDF
ISSN 00442275
e-ISSN 14209039
Journal Zeitschrift für angewandte Mathematik und Physik
Issue Number 3
Volume Number 65
Language English
Publisher Springer Basel
Publisher Date 2013-05-14
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Mathematical Methods in Physics KdV-like equations (Korteweg-de Vries) Hyperelliptic curve Hunter–Saxton hierarchy Algebro-geometric solutions Theoretical and Applied Mechanics Algebro-geometric initial value problem
Content Type Text
Resource Type Article
Subject Applied Mathematics Physics and Astronomy
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