Lotka-Volterra-type equations and their explicit integration

DOI10.1007/BF00739096zbMath0829.45007arXivhep-th/9408042OpenAlexW2127985221MaRDI QIDQ1900457

Jean-Loup Gervais, Mikhail V. Saveliev

Publication date: 31 October 1995

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9408042

zbMATH Keywords

simple Lie algebrasToda systemexplicit integrationfinite system of Lotka-Volterra-type equationsrepresentation without branchingtwo-dimensionalised Lotka-Volterra-type equations

Mathematics Subject Classification ID

Systems of nonsingular linear integral equations (45F05) Simple, semisimple, reductive (super)algebras (17B20) Volterra integral equations (45D05)

Cites Work

• Explicit solutions to two-dimensionalized Volterra equations
• Classical \(A_ n\)-W-geometry
• Toda theory and \({\mathcal W}\)-algebra from a gauged WZNW point of view