Quasi-periodic solutions of the orthogonal KP equation. Translation groups for soliton equations. V

DOI10.2977/prims/1195183298zbMath0571.35101OpenAlexW1552007708MaRDI QIDQ1061945

Masaki Kashiwara, Tetsuji Miwa, Michio Jimbo, Etsuro Date

Publication date: 1982

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195183298

zbMATH Keywords

theta functionsquasi-periodic solutionssoliton solutionswave functionsBKP hierarchyAbelian integralsRiemann's theta functionpole divisorPrym varieties of algebraic curvesquasi-periodic \(\tau \) - functions

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Partial differential equations of mathematical physics and other areas of application (35Q99) Algebraic functions and function fields in algebraic geometry (14H05) Group varieties (14L10)

Related Items

Dynamics of poles of elliptic solutions to the BKP equation, \(c=I\) conformal field theories on Riemann surfaces, A remark on the connection between affine Lie algebras and soliton equations, The B-quadrilateral lattice, its transformations and the algebro-geometric construction, New groups of solutions to the Whitham-Broer-Kaup equation, Quasi-periodic solutions to hierarchies of nonlinear integrable equations and bilinear relations, Negative flows of generalized KdV and mKdV hierarchies and their gauge-Miura transformations, Toda lattice with constraint of type B, KP solitons and the Riemann theta functions, Spectra of biperiodic planar networks, Tau-function of the B-Toda hierarchy, Elliptic solutions of the semidiscrete B-version of the Kadomtsev-Petviashvili equation, Prym's theta-function and hierarchies of nonlinear equations, Virasoro constraint for Nekrasov instanton partition function, Kadomtsev-Petviashvili hierarchies of types B and C, Group theory approach to the \(\tau\)-function and its quantization, Elliptic solutions to integrable nonlinear equations and many-body systems, PRYM VARIETIES AND THE INFINITE GRASSMANNIAN, Correlation functions of charged free boson and fermion systems, Loop groups and equations of KdV type

Cites Work

• Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
• Theta functions on Riemann surfaces