# American Institute of Mathematical Sciences

December  2018, 38(12): 6241-6285. doi: 10.3934/dcds.2018268

## Quasi-periodic solution of quasi-linear fifth-order KdV equation

 School of Mathematical Sciences, Fudan University, Shanghai 200433, China

Received  September 2017 Revised  February 2018 Published  September 2018

Fund Project: Supported by NNSFC11421061.

We prove the existence of quasi-periodic small-amplitude solutions for quasi-linear Hamiltonian perturbation of the fifth order KdV equation on the torus in presence of a quasi-periodic forcing.

Citation: Yingte Sun, Xiaoping Yuan. Quasi-periodic solution of quasi-linear fifth-order KdV equation. Discrete & Continuous Dynamical Systems, 2018, 38 (12) : 6241-6285. doi: 10.3934/dcds.2018268
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