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

Yingte Sun; Xiaoping Yuan

doi:10.3934/dcds.2018268

Article Contents

2018, Volume 38, Issue 12: 6241-6285. Doi: 10.3934/dcds.2018268

This issue Previous Article Some questions looking for answers in dynamical systems Next Article On a class of non-local elliptic equations with asymptotically linear term

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

Yingte Sun and
Xiaoping Yuan

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

Received: August 31, 2017

Revised: January 31, 2018

Published: November 2018

Supported by NNSFC11421061.

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Abstract

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.

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Mathematics Subject Classification: Primary: 37K55; Secondary: 37F50, 35Q53.

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