论文标题

Quintic Klein-Gordon和Schrödinger方程的cNoidal波:存在和轨道不稳定性

Cnoidal waves for the quintic Klein-Gordon and Schrödinger equations: Existence and orbital instability

论文作者

Moraes, Gabriel E. Bittencourt, de Loreno, Guilherme

论文摘要

在本文中,我们建立了针对Quintic klein-Gordon和NonlineArSchrödinger方程的cNoidal周期性波的存在和轨道不稳定性结果。使用Floquet理论建立相应线性化操作员的光谱分析。轨道不稳定性是通过使用Shatah和Strauss引起的抽象结果来确定的。

In the present paper, we establish the existence and orbital instability results of cnoidal periodic waves for the quintic Klein-Gordon and nonlinear Schrödinger equations. The spectral analysis for the corresponding linearized operator is established by using the Floquet theory. The orbital instability is determined by applying an abstract result due to Shatah and Strauss.

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