Well-posedness of the two-component Fornberg-Whitham system in Besov spaces

Abstract

The present paper establishes well-posedness for the two-component Fornberg-Whitham system in Besov spaces. First the existence and uniqueness of its solution is proved, then it is shown that the corresponding data-to-solution map is continuous, provided the initial data belong to Besov spaces.

References in corpus (2)

• On an integrable two-component Camassa-Holm shallow water system
• Soliton, kink and antikink solutions of a 2-component of the Degasperis-Procesi equation

Cited by in corpus (1)

• Non-uniform dependence on periodic initial data for the two-component Fornberg-Whitham system in Besov spaces