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1. Local-in-space blow-up criteria for two-component nonlinear dispersive wave system

Author

Emil Novruzov, Vural Bayrak, and Ibrahim Ozkol

Subjects
Camassa–Holm equation, Applied Mathematics, Mathematical analysis, Mathematics::Analysis of PDEs, Type (model theory), Space (mathematics), 01 natural sciences, 010101 applied mathematics, Nonlinear system, Component (UML), Discrete Mathematics and Combinatorics, 0101 mathematics, Real line, Analysis, Mathematics
Abstract

We investigate the blow-up phenomena for the two-component generalizations of Camassa-Holm equation on the real line. We establish some a local-in-space blow-up criterion for system of coupled equations under certain natural initial profiles. Presented result extends and specifies the earlier blow-up criteria for such type systems.

Published
2019
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