Integrable Quasiclassical Deformations of Cubic Curves

Abstract

A general scheme for determining and studying hydrodynamic type systems describing integrable deformations of algebraic curves is applied to cubic curves. Lagrange resolvents of the theory of cubic equations are used to derive and characterize these deformations.

24 pages

References in corpus (6)

• Normal random matrix ensemble as a growth problem
• Topological Landau-Ginzburg theory with a rational potential and the dispersionless KP hierarchy
• Laplacian Growth and Whitham Equations of Soliton Theory
• Singular sector of the Burgers-Hopf hierarchy and deformations of hyperelliptic curves
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Cited by in corpus (2)

• Coisotropic deformations of algebraic varieties and integrable systems
• A Classification of Integrable Quasiclassical Deformations of Algebraic Curves