AbstractIn this paper, one-dimensional (1D) nonlinear wave equationutt−uxx+mu+u5=0 on the finite x-interval [0,π] with Dirichlet boundary conditions is considered. It is proved that there are many 2-dimensional elliptic invariant tori, and thus quasi-periodic solutions for the above equation. The proof is based on infinite-dimensional KAM theory and partial Birkhoff normal form
We consider 1D completely resonant nonlinear wave equations of the type vtt - vxx = -v3 + O(v4) with...
We consider 1D completely resonant nonlinear wave equations of the type vtt - vxx = -v3 + O(v4) with...
We consider 1D completely resonant nonlinear wave equations of the type vtt - vxx = -v3 + O(v4) with...
AbstractIn this paper, one-dimensional (1D) nonlinear wave equationutt−uxx+mu+u5=0 on the finite x-i...
In this paper, one–dimensional (1D) nonlinear wave equations utt − uxx + V (x)u = f(u), with periodi...
Abstract: In this paper, one-dimensional (1D) nonlinear wave equations utt − uxx C V.x/u D f.u/; wit...
Abstract: In this paper, one-dimensional (1D) nonlinear wave equations utt − uxx C V.x/u D f.u/; wit...
AbstractIt is shown that there are many elliptic invariant tori, and thus quasi-periodic solutions, ...
In this paper, one-dimensional (1D) nonlinear Schrödinger equation iut −uxx +|u | 2p u = 0, p ∈ N, w...
We are going to study the nonlinear wave equation utt = uxx − mu − f (u) (1) on the finite x-interva...
Abstract.We provide quasi-periodic solutions with two frequencies ω ∈ R 2 for a class of completely ...
We provide quasi-periodic solutions with two frequencies for a class of completely resonant non-lin...
We provide quasi-periodic solutions with two frequencies for a class of completely resonant non-lin...
The author presents new existence results for quasi-periodic solutions of nonlinear wave equations a...
We consider 1D completely resonant nonlinear wave equations of the type vtt - vxx = -v3 + O(v4) with...
We consider 1D completely resonant nonlinear wave equations of the type vtt - vxx = -v3 + O(v4) with...
We consider 1D completely resonant nonlinear wave equations of the type vtt - vxx = -v3 + O(v4) with...
We consider 1D completely resonant nonlinear wave equations of the type vtt - vxx = -v3 + O(v4) with...
AbstractIn this paper, one-dimensional (1D) nonlinear wave equationutt−uxx+mu+u5=0 on the finite x-i...
In this paper, one–dimensional (1D) nonlinear wave equations utt − uxx + V (x)u = f(u), with periodi...
Abstract: In this paper, one-dimensional (1D) nonlinear wave equations utt − uxx C V.x/u D f.u/; wit...
Abstract: In this paper, one-dimensional (1D) nonlinear wave equations utt − uxx C V.x/u D f.u/; wit...
AbstractIt is shown that there are many elliptic invariant tori, and thus quasi-periodic solutions, ...
In this paper, one-dimensional (1D) nonlinear Schrödinger equation iut −uxx +|u | 2p u = 0, p ∈ N, w...
We are going to study the nonlinear wave equation utt = uxx − mu − f (u) (1) on the finite x-interva...
Abstract.We provide quasi-periodic solutions with two frequencies ω ∈ R 2 for a class of completely ...
We provide quasi-periodic solutions with two frequencies for a class of completely resonant non-lin...
We provide quasi-periodic solutions with two frequencies for a class of completely resonant non-lin...
The author presents new existence results for quasi-periodic solutions of nonlinear wave equations a...
We consider 1D completely resonant nonlinear wave equations of the type vtt - vxx = -v3 + O(v4) with...
We consider 1D completely resonant nonlinear wave equations of the type vtt - vxx = -v3 + O(v4) with...
We consider 1D completely resonant nonlinear wave equations of the type vtt - vxx = -v3 + O(v4) with...
We consider 1D completely resonant nonlinear wave equations of the type vtt - vxx = -v3 + O(v4) with...
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