Journal article
Orbital stability of periodic traveling waves for the "abcd'' Boussinesq systems
Abstract
New results concerning the orbital stability of periodic traveling wave solutions for the "abcd" Boussinesq model will be shown in this manuscript. For the existence of solutions, we use basic tools of ordinary differential equations to show that the corresponding periodic wave depends on the Jacobi elliptic function of cnoidal type. The spectral analysis for the associated linearized operator is determined by using some tools concerning the …
Authors
Moraes GEB; de Loreno G; Natali F
Journal
Communications on Pure and Applied Analysis, Vol. 22, No. 3, pp. 922–945
Publisher
American Institute of Mathematical Sciences (AIMS)
Publication Date
2023
DOI
10.3934/cpaa.2023014
ISSN
1534-0392