NONLINEAR STABILITY OF PERIODIC-WAVE SOLUTIONS FOR SYSTEMS OF DISPERSIVE EQUATIONS

Cristofani Fabricio; Pastor Ademir

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NONLINEAR STABILITY OF PERIODIC-WAVE SOLUTIONS FOR SYSTEMS OF DISPERSIVE EQUATIONS

机译：分散方程系统周期波解的非线性稳定性

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We prove the orbital stability of periodic traveling-wave solutions for systems of dispersive equations with coupled nonlinear terms. Our method is basically developed under two assumptions: one concerning the spectrum of the linearized operator around the traveling wave and another one concerning the existence of a conserved quantity with suitable properties. The method can be applied to several systems such as the Liu-Kubota-Ko system, the modified KdV system and a log-KdV type system.

机译：我们证明了具有耦合非线性术语的分散方程系统的周期性旅行波解决方案的轨道稳定性。我们的方法基本上是在两个假设下开发的：一个关于行进波周围的线性化操作员的光谱，另一个关于具有合适性质的保守量的另一个。该方法可以应用于若干系统，例如Liu-Kubota-Ko系统，改进的KDV系统和Log-KDV型系统。

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来源
《Communications on pure and applied analysis》 |2020年第10期|共18页
作者
Cristofani Fabricio; Pastor Ademir;
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作者单位

IMECC UNICAMP Rua Sergio Buarque de Holanda 651 BR-13083859 Campinas SP Brazil;

IMECC UNICAMP Rua Sergio Buarque de Holanda 651 BR-13083859 Campinas SP Brazil;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Orbital stability; dispersive system; periodic waves;

机译：轨道稳定性;分散系统;周期性波浪;

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专利

1. NONLINEAR STABILITY OF PERIODIC-WAVE SOLUTIONS FOR SYSTEMS OF DISPERSIVE EQUATIONS [J] . Cristofani Fabricio, Pastor Ademir Communications on pure and applied analysis . 2020,第10期

机译：分散方程系统周期波解的非线性稳定性
2. Study of modulation instability analysis and optical soliton solutions of higher-order dispersive nonlinear Schrodinger equation with dual-power law nonlinearity [J] . Nasreen Naila, Seadawy Aly R., Lu Dianchen Modern Physics Letters, B. Condensed Matter Physics, Statistical Physics, Applied Physics . 2019,第25期

机译：高阶分散非线性薛定林方程调制不稳定分析与光学孤子解决方案与双功率法非线性
3. Stability of compacton solutions of fifth-order nonlinear dispersive equations [J] . Dey B., Khare A. Journal of Physics, A. Mathematical and General: A Europhysics Journal . 2000,第30期

机译：五阶非线性色散方程Compacton解的稳定性
4. Application of Admissible Functions in Studying Partial Stability of Solutions of a Nonlinear System of Differential Equations [C] . M.Yu. Filimonov International Conference on Applications of Mathematics in Engineering and Economics . 2018

机译：可允许功能在差分方程的非线性系统溶液局部稳定性中的应用
5. Spectral methods for the numerical solution of nonlinear dispersive wave equations. [D] . Pelloni, Beatrice. 1996

机译：非线性色散波方程数值解的频谱方法。
6. Exact solutions for (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and coupled Klein-Gordon equations [O] . Kamruzzaman Khan, M Ali Akbar, S M Rayhanul Islam -1

机译：（1 + 1）维非线性色散修正的Benjamin-Bona-Mahony方程和Klein-Gordon耦合方程的精确解
7. Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains (Studies on nonlinear waves and dispersive equations) [O] . Nakamura Makoto 2005

机译：外部域内拟线性波动方程多速度系统解的整体存在（关于非线性波动和弥散方程的研究）
8. Numerical Stability of Iterations for Solution of Nonlinear Equations and Large Linear Systems. [R] . wozniakowski, h. 1975

机译：非线性方程组与大型线性系统解的迭代数值稳定性。

NONLINEAR STABILITY OF PERIODIC-WAVE SOLUTIONS FOR SYSTEMS OF DISPERSIVE EQUATIONS

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