Blow-up criteria for some two-component shallow water wave system
Abstract
Abstract In this paper we investigate the two-component nonlinear dispersive wave equation on the real line. We establish a blow-up criterion for the system of coupled equations under certain natural initial profiles. The obtained criterion is only involved in the initial values $$u_{0}\left( x_{0}\right) $$ u 0 x 0 and $$u_{0}^{\prime }\left( x_{0}\right) $$ u 0 ′ x 0 at a single point $$x_{0}\in \mathbb {R}.$$ x 0 ∈ R .
Fields of Study & Subjects
Advanced Mathematical Physics Problems
Nonlinear Waves and Solitons
Stability and Controllability of Differential Equations
Publication details
- Journal / source
- Monatshefte für Mathematik
- Volume
- 210
- Issue
- 2
- Pages
- 187–198
- Publication date
- 24 February 2026
- Language
- EN