On a Whitham-Type Equation

Abstract

The Hunter-Saxton equation and the Gurevich-Zybin system are considered as two mutually non-equivalent representations of one and the same Whitham-type equation, and all their common solutions are obtained exactly.

References in corpus (5)

• Gurevich-Zybin system
• On Transformations of the Rabelo Equations
• Contact Equivalence of the Generalized Hunter - Saxton Equation and the Euler - Poisson Equation
• The Calogero equation and Liouville type equations
• Analytical Properties of an Ostrovsky-Whitham Type Dynamical System for a Relaxing Medium with Spatial Memory and its Integrable Regularization

Cited by in corpus (5)

• On a Nonlocal Ostrovsky-Whitham Type Dynamical System, Its Riemann Type Inhomogeneous Regularizations and Their Integrability
• Integrability of a generalized short pulse equation revisited
• On a new avatar of the sine-Gordon equation
• An alternative approach to the quasi-Periodic solutions of the Hunter-Saxton hierarchy
• The algebro-geometric solutions for Hunter-Saxton hierarchy