Odd periodic waves and stability results for the defocusing mass-critical Korteweg-de Vries equation

被引：0

作者：

Natali, Fabio ^{[1
]}

Amaral, Sabrina ^{[1
]}

机构：

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

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 06期

关键词：

defocusing Korteweg-de Vries; orbital stability; periodic traveling waves; SOLITARY WAVES;

D O I：

10.1002/mma.6117

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present results of existence and stability of odd periodic traveling wave solutions for the defocusing mass-critical Korteweg-de Vries equation. The existence of periodic wave trains is obtained by solving a constrained minimization problem. Concerning the stability, we use the Floquet theory to determine the behavior of the first three eigenvalues of the linearized operator around the wave, as well as the positiveness of the associated Hessian matrix.

引用

页码：3253 / 3259

页数：7

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