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

被引：3

作者：

Moraes, Gabriel E. Bittencourt ^{[1
]}

de Loreno, Guilherme ^{[1
]}

机构：

[1] Univ Estadual Maringa, Dept Matemat, Ave Colombo 5790, BR-87020900 Maringa, Parana, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 513卷 / 01期

关键词：

Quintic Klein -Gordon equation; Quintic Schrodinger equation; Cnoidal waves; Orbital instability; STANDING WAVES; STABILITY THEORY; PERIODIC-WAVES; SOLITARY WAVES;

D O I：

10.1016/j.jmaa.2022.126203

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we establish the existence and orbital instability results of cnoidal periodic waves for the quintic Klein-Gordon and nonlinear Schrodinger 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. (c) 2022 Elsevier Inc.

引用

页数：22

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