A NOTE ON THE PAPER "ON THE CONTROLLABILITY OF A COUPLED SYSTEM OF TWO KORTEWEG–DE VRIES EQUATIONS"-Reference-Cited by-同舟云学术

A NOTE ON THE PAPER "ON THE CONTROLLABILITY OF A COUPLED SYSTEM OF TWO KORTEWEG–DE VRIES EQUATIONS"

Published:2011-02 Issue:01 Volume:13 Page:183-189
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

CERPA EDUARDO¹,PAZOTO ADEMIR F.²

Affiliation:

1. Departamento de Matemática, Universidad Técnica Federico Santa María, Avda. España 1680, Valparaíso, Chile

2. Instituto de Matemática, Universidade Federal do Rio de Janeiro, P. O. Box 68530, CEP 21945-970, Rio de Janeiro, RJ, Brazil

Abstract

This note concerns the paper "On the controllability of a coupled system of two Korteweg–de Vries equations" by Micu et al. [2]. They study a nonlinear coupled system of two Korteweg–de Vries equations and prove that the system is controllable by using four boundary controls. Here, we prove that in some cases it is possible to get the controllablity of the system by using only two controls. This can be done depending on both the spatial domain and the control time.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021919971100418X

Reference3 articles.

1. Weak and Strong Interactions between Internal Solitary Waves

2. ON THE CONTROLLABILITY OF A COUPLED SYSTEM OF TWO KORTEWEG–DE VRIES EQUATIONS

3. Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain

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