A description of the weierstrass gap sequence by means of the Riemann theta function

1986 ◽  
Vol 53 (2) ◽  
pp. 129-136
Author(s):  
Ryutaro Horiuchi
Keyword(s):  
Theta Function ◽  
Riemann Theta Function ◽  
Gap Sequence ◽  
Weierstrass Gap Sequence

Riemann theta function solutions of the Caudrey–Dodd–Gibbon–Sawada–Kotera hierarchy

2019 ◽  
Vol 140 ◽  
pp. 85-103 ◽  
Author(s):  
Xianguo Geng ◽  
Guoliang He ◽  
Lihua Wu
Keyword(s):  
Theta Function ◽  
Riemann Theta Function

scholarly journals Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence 1,2,…,g−2,λ,2g−3

2004 ◽  
Vol 276 (1) ◽  
pp. 280-291 ◽  
Author(s):  
Francisco Luiz Rocha Pimentel
Keyword(s):  
Moduli Space ◽  
Gap Sequence ◽  
Weierstrass Gap Sequence

scholarly journals Weierstrass gap sequence at total inflection points of nodal plane curves

1994 ◽  
Vol 18 (1) ◽  
pp. 119-129 ◽  
Author(s):  
Marc Coppens ◽  
Takao Kato
Keyword(s):  
Plane Curves ◽  
Nodal Plane ◽  
Inflection Points ◽  
Gap Sequence ◽  
Weierstrass Gap Sequence

scholarly journals Analytic Riemann Theta Function Solutions of Coupled Korteweg-de Vries Hierarchy

2021 ◽  
Vol 11 (4) ◽  
pp. 732-754
Author(s):  
global sci
Keyword(s):  
Theta Function ◽  
Riemann Theta Function ◽  
De Vries

On a Toda lattice hierarchy: Lax pair, integrable symplectic map and algebraic–geometric solution

2018 ◽  
Vol 32 (28) ◽  
pp. 1850344
Author(s):  
Xiao Yang ◽  
Dianlou Du
Keyword(s):  
Spectral Problem ◽  
Theta Function ◽  
Toda Lattice ◽  
Burgers Equation ◽  
Lax Pair ◽  
Discrete Variable ◽  
Riemann Theta Function ◽  
Symplectic Map ◽  
Discrete Counterpart ◽  
Toda Lattice Hierarchy

A Toda lattice hierarchy is studied by introducing a new spectral problem which is a discrete counterpart of the generalized Kaup–Newell spectral problem. Based on the Lenard recursion equation, Lax pair of the hierarchy is given. Further, the discrete spectral problem is nonlinearized into an integrable symplectic map. As a result, an algebraic–geometric solution in Riemann theta function of the hierarchy is obtained. Besides, two equations, the Volterra lattice and a (2[Formula: see text]+[Formula: see text]1)-dimensional Burgers equation with a discrete variable, yielded from the hierarchy are also solved.

Sign in / Sign up

Export Citation Format

Share Document