The orbital stability of the periodic traveling wave solutions to the defocusing complex modified Korteweg–de Vries equation
نویسندگان
چکیده
The stability of the elliptic solutions to defocusing complex modified Korteweg–de Vries (cmKdV) equation is studied. Using integrability cmKdV equation, we prove spectral solutions. We show that one special linear combination first seven conserved quantities produces a Lyapunov functional, which implies are orbitally stable with respect subharmonic perturbations.
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ژورنال
عنوان ژورنال: Nonlinear Analysis-theory Methods & Applications
سال: 2023
ISSN: ['1873-5215', '0362-546X']
DOI: https://doi.org/10.1016/j.na.2022.113155