Abstract
We consider the generalized Korteweg – de Vries (KdV) equation with periodic boundary condition by space variable. The asymptotics of periodic solutions and invariant tori are considered in a sufficiently small neighbourhood of the zero equilibrium state. There are considered two cases: the coefficient of the quadratic term in the right part of generalized KdV equation is non-zero or zero. In the first case, the cycles and two-dimension tori are unstable. In the second, case it is proved that cycles are stable and tori are unstable.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
