Classification of integrable Vlasov-type equations

Abstract

Classification of integrable Vlasov-type equations is reduced to a functional equation for a generating function. A general solution of this functional equation is found in terms of hypergeometric functions.

latex, 15 pages, to appear in Theoretical and Mathematical Physics

References in corpus (3)

• On integrability of (2+1)-dimensional quasilinear systems
• Algebro-geometric approach in the theory of integrable hydrodynamic type systems
• Classification of integrable hydrodynamic chains and generating functions of conservation laws

Cited by in corpus (4)

• On Classical Integrability of the Hydrodynamics of Quantum Integrable Systems
• Integrable (2+1)-dimensional systems of hydrodynamic type
• Classification of integrable two-component Hamiltonian systems of hydrodynamic type in 2+1 dimensions
• Hydrodynamic-type systems describing 2-dimensional polynomially integrable geodesic flows