Abstract
On the basis of the non-zero boundary condition to the AB system, we derive the asymptotic Lax pair and study its spectral analysis, from which we obtain the properties of the modified Jost functions including the analyticity, asymptotic behavior and symmetric relation, and construct the corresponding Riemann-Hilbert problem. The potentials can be reconstructed according to the asymptotic expansion of the sectional analytic function and the Plemelj formulae. As an application, we study the reflectionless case of the AB system and obtain its breather solutions with some figures showing the dynamic behaviors.
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.
