A Regularized System for the Nonlinear Variational Wave Equation

Abstract

We derive a new generalization of the nonlinear variational wave equation. We prove existence of local, smooth solutions for this system. As a limiting case, we recover the nonlinear variational wave equation.

175 pages, 7 figures

References in corpus (2)

• Global solutions for the two-component Camassa-Holm system
• Unique Conservative Solutions to a Variational Wave Equation