Non-homogeneous systems of hydrodynamic type possessing Lax representations

Abstract

We consider 1+1 - dimensional non-homogeneous systems of hydrodynamic type that possess Lax representations with movable singularities. We present a construction, which provides a wide class of examples of such systems with arbitrary number of components. In the two-component case a classification is given.

22 pages, latex, minor changes

References in corpus (4)

• Inverse Scattering Problem for Vector Fields and the Cauchy Problem for the Heavenly Equation
• Integrable (2+1)-dimensional systems of hydrodynamic type
• Löwner equations and dispersionless hierarchies
• Classification of integrable hydrodynamic chains

Cited by in corpus (3)

• Extended symmetry analysis of isothermal no-slip drift flux model
• On symmetries of the Gibbons-Tsarev equation
• On three-dimensional quasi-Stäckel Hamiltonians