Abstract
We provide the explicit formulae of the smooth positon solutions of the complex modified KdV (mKdV) equation using degenerate Darboux transformation with respect to the eigenvalues. The dynamics of the smooth positons of the complex mKdV are discussed in details using the method, i.e. decomposition of the modulus square. For this kind solution, we show explicitly the decomposition, bent trajectory and variable ‘phase shift’ after collision, which are remarkably different from the singular positons of the real-valued mKdV equation.
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.
