Abstract
iut+uxx+(a|u|+b|v|)u=0, ivt+vxx+(b|u|+c|v|)v=0, where u,v are complex valued functions of (x,t)∈R, and a,b,c∈R was previously studied by Nguyen and Wang. In that work, it was shown that for this system of equations, the interplay between components of solutions in terms of the parameters a,b,c plays an important role in both the existence and stability of solitary wave. In particular, it was proved that solitary wave solutions of this system are orbitally stable when either 0 0 with b>max{a,c} and b>ac. In this manuscript, the orbital stability result obtained by Nguyen and Wang is further improved. It will be shown that when a solitary wave is perturbed, the perturbed solution must stay close to a solitary-wave profile in which the translation and phase parameters are prescribed functions of time. Properties of these functions are then studied.
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.
