Floquet's Theorem and Stability of Periodic Solitary Waves

Aloisio Neves

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Floquet's Theorem and Stability of Periodic Solitary Waves

机译：Floquet定理和周期孤波的稳定性

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摘要

This paper is concerned with the spectrum the Hill operator L(y) = -y" + Q(x) y in .L_(per)~2, [0,π]. We show that the eigenvalues of L can be characterized by knowing one of its eigenfunctions. Applications are given to nonlinear stability of a class of periodic problems.

机译：本文涉及在.L_（per）〜2，[0，π]中的希尔算子L（y）= -y“ + Q（x）y的频谱。我们证明L的特征值可以用知道了它的一个特征函数，并将其应用于一类周期问题的非线性稳定性。

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来源
《Journal of dynamics and differential equations》 |2009年第3期|555-565|共11页
作者
Aloisio Neves;
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作者单位

Departamento de Matematica, IMECC-UNICAMP, CP 6065, Campinas, SP, CEP 13083-970, Brazil;

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原文格式 PDF
正文语种 eng
中图分类
关键词
hill's operator; spectrum; periodic potential; nonlinear stability;

机译：希尔的运营商;光谱;周期性电位非线性稳定性;

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1. Erratum to: Floquet's Theorem and Stability of Periodic Solitary Waves [J] . Aloisio Neves Journal of dynamics and differential equations . 2010,第3期

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5. Existence, stability and dynamics of solitary waves in nonlinear Schrodinger models with periodic potentials. [D] . Law, Kody John Hoffman. 2010

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6. Existence Uniqueness and Asymptotic Stability of Time Periodic Traveling Waves for a Periodic Lotka-Volterra Competition System with Diffusion [O] . Guangyu Zhao, Shigui Ruan -1

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7. Transverse instability of periodic and generalized solitary waves for a fifth-order KP model [O] . Haragus Mariana, Wahlén Erik 2017

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8. On Periodic Water-Waves and Their Convergence to Solitary Waves in the Long-Wave Limit [R] . Amick, C. J., Toland, J. F. 1980

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Floquet's Theorem and Stability of Periodic Solitary Waves

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