The application of trigonal curve to the Mikhailov-Shabat-Sokolov flows

DOI10.1007/s00033-016-0684-5zbMath1377.37108OpenAlexW2466730443MaRDI QIDQ520485

Lihua Wu, Guo-Liang He, Xiangguo Geng

Publication date: 3 April 2017

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-016-0684-5

zbMATH Keywords

trigonal curvealgebro-geometric solutionMikhailov-Shabat-Sokolov equations

Mathematics Subject Classification ID

Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Theta functions and curves; Schottky problem (14H42)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quasi-periodic solutions of the Kaup-Kupershmidt hierarchy
• Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions
• Real finite-gap regular solutions of the Kaup-Boussinesq equation
• On the Riemann theta function of a trigonal curve and solutions of the Boussinesq and KP equations
• Monodromy of Boussinesq elliptic operators
• Abelian functions for cyclic trigonal curves of genus 4
• Finite-gap potentials with trigonal curves
• Decomposition of the (2 + 1)- dimensional Gardner equation and its quasi-periodic solutions
• Algebro-geometric solutions to the modified Sawada-Kotera hierarchy
• Theta functions and non-linear equations
• A MATRIX ANALOGUE OF APPELL'S THEOREM AND REDUCTIONS OF MULTIDIMENSIONAL RIEMANN THETA-FUNCTIONS
• The Periodic Cubic Schrõdinger Equation
• Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
• ALGEBRO-GEOMETRIC SOLUTIONS OF THE BOUSSINESQ HIERARCHY
• 混合Boussinesq 方程的有限亏格解
• Algebro-geometric Quasi-periodic Solutions to the Three-Wave Resonant Interaction Hierarchy
• Abelian Functions for Trigonal Curves of Genus Three
• 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
• Decomposition of the Discrete Ablowitz–Ladik Hierarchy