Integrable Quasiclassical Deformations of Algebraic Curves

Abstract

A general scheme for determining and studying integrable deformations of algebraic curves is presented. The method is illustrated with the analysis of the hyperelliptic case. An associated multi-Hamiltonian hierarchy of systems of hydrodynamic type is characterized.

28 pages, no figures

References in corpus (1)

• Integrable Structure of Interface Dynamics

Cited by in corpus (11)

• Light propagation in a Cole-Cole nonlinear medium via Burgers-Hopf equation
• Bubble break-off in Hele-Shaw flows : Singularities and integrable structures
• Hodograph solutions of the dispersionless coupled KdV hierarchies, critical points and the Euler-Poisson-Darboux equation
• Auxiliary Linear Problem, Difference Fay Identities and Dispersionless Limit of Pfaff-Toda Hierarchy
• On the singular sector of the Hermitian random matrix model in the large N limit
• Integrable Deformations of Algebraic Curves
• Singular sectors of the 1-layer Benney and dToda systems and their interrelations
• Integrable Quasiclassical Deformations of Cubic Curves
• Coisotropic deformations of algebraic varieties and integrable systems
• A Classification of Integrable Quasiclassical Deformations of Algebraic Curves
• Hamiltonian motions of plane curves and formation of singularities and bubbles