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Periodic and Almost Periodic Solutions for a Coupled System of Two Korteweg-de Vries Equations with Boundary Forces
Authors:Mo?Chen  author-information"  >  author-information__contact u-icon-before"  >  mailto:chenmochenmo.good@.com"   title="  chenmochenmo.good@.com"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:1.School of Mathematics and Statistics, Center for Mathematics and Interdisciplinary Sciences,Northeast Normal University,Changchun,People’s Republic of China
Abstract:In this paper, we investigate a coupled system of two Korteweg-de Vries equations on a bounded domain. We discuss the long-time behavior of this system with forces on the left Dirichlet boundary conditions. We obtain that if the forces are periodic (almost periodic) with small amplitude, then the solution of the coupled system is periodic (almost periodic).
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