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

Vural Bayrak; Emil Novruzov; Ibrahim Ozkol

doi:10.3934/dcds.2019263

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

Vural Bayrak, Emil Novruzov^*, Ibrahim Ozkol

^*Corresponding author for this work

Department of Aeronautical Engineering

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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 extend and specify the earlier blow-up criteria for such type the system.

Original language	English
Pages (from-to)	6023-6037
Number of pages	15
Journal	Discrete and Continuous Dynamical Systems
Volume	39
Issue number	10
DOIs	https://doi.org/10.3934/dcds.2019263
Publication status	Published - 2019

Bibliographical note

Publisher Copyright:
© 2019 American Institute of Mathematical Sciences. All rights reserved.

Keywords

Blow-up
Camassa-Holm equation
Shallow water
Two-component wave system

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10.3934/dcds.2019263

Cite this

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title = "Local-in-space blow-up criteria for two-component nonlinear dispersive wave system",

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 extend and specify the earlier blow-up criteria for such type the system.",

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AU - Bayrak, Vural

AU - Novruzov, Emil

AU - Ozkol, Ibrahim

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N2 - 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 extend and specify the earlier blow-up criteria for such type the system.

AB - 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 extend and specify the earlier blow-up criteria for such type the system.

KW - Blow-up

KW - Camassa-Holm equation

KW - Shallow water

KW - Two-component wave system

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DO - 10.3934/dcds.2019263

M3 - Article

AN - SCOPUS:85069636474

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JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

IS - 10

ER -

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

Abstract

Bibliographical note

Keywords

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