Orbital stability of periodic traveling waves for the "abcd'' Boussinesq systems
نویسندگان
چکیده
New results concerning the orbital stability of periodic traveling wave solutions for 'abcd' Boussinesq model will be shown in this manuscript. For existence solutions, we use basic tools ordinary differential equations to show that corresponding depends on Jacobi elliptic function cnoidal type. The spectral analysis associated linearized operator is determined by using some Floquet theory. then established applying abstract [2,14] which give us sufficient conditions a general class evolution equations.
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Analysis
سال: 2023
ISSN: ['1534-0392', '1553-5258']
DOI: https://doi.org/10.3934/cpaa.2023014