Real Analytic Quasi-Periodic Solutions with More Diophantine Frequencies for Perturbed KdV Equations
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DOI: 10.1007/s10884-016-9529-3
Abstract: In this paper, we consider the perturbed KdV equation with Fourier multiplier $$\begin{aligned} u_{t} =- u_{xxx} + \big (M_{\xi }u+u^3 \big )_{x},\quad u(t,x+2\pi )=u(t,x),\quad \int _0^{2\pi }u(t,x)dx=0, \end{aligned}$$ut=-uxxx+(Mξu+u3)x,u(t,x+2π)=u(t,x),∫02πu(t,x)dx=0,with analytic data of size $$\varepsilon $$ε. We… read more here.
Keywords: real analytic; periodic solutions; perturbed kdv; quasi periodic ... See more keywords