Abstract
The stability of parametrically excited standing waves in large-aspect-ratio systems is investigated for small driving. Their phase diffusion equation is derived. It is found that for small group velocity of the underlying travelling waves the Eckhaus-stable band of wave numbers can split up into two subbands which are separated by a region of unstable wave numbers. This gives rise to solutions with stable wave-number kinks which bridge the unstable regime between the subbands. The kinks are approximately described by a Ginzburg-Landau equation for a conserved order parameter. For other parameter values the transition to an equivalent of the Benjamin-Feir instability can be controlled by the driving amplitude.
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.
