Recurrent solutions of the Korteweg-de Vries equation with boundary force. (English) Zbl 1483.35183
Summary: In this paper, we will establish the existence of the bounded solution, periodic solution, quasi-periodic solution and almost periodic solution for the Korteweg-de Vries equation with boundary force.
MSC:
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 35B10 | Periodic solutions to PDEs |
| 70K43 | Quasi-periodic motions and invariant tori for nonlinear problems in mechanics |
| 35B15 | Almost and pseudo-almost periodic solutions to PDEs |
Keywords:
Korteweg-de Vries equation; bounded solution; periodic solution; quasi-periodic solution; almost periodic solutionReferences:
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