Abstract
We present Darboux transformation (DT) of a semi-discrete coupled dispersionless (SDCD) integrable system. A Lax pair for the SDCD system is proposed and a Darboux transformation is employed on the solutions to the Lax pair and solutions to the SDCD system. Multisoliton solutions resulting from Darboux transformation are expressed in terms of determinants. We also compute explicit expressions of one- and two-soliton solutions with the help of a given seed solution. We apply an appropriate continuum limit to obtain multisoliton solutions of the continuous CD integrable system. By taking an appropriate choice of discrete variables, we show that the SDCD system is equivalent to semi-discrete sine-Gordon equation. From the soliton solution of SDCD system, semi-discrete kink solution of the semi-discrete sine-Gordon equation is obtained.
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 callMore From: Communications in Nonlinear Science and Numerical Simulation
Disclaimer: 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.
