Abstract
Effects of perturbations on the soliton solutions of the K-dV equation are investigated. A system of equations which governs the slow modulation of the soliton solution is derived systematically from the non-secular conditions of the multiple time scale expansion. An equation which governs the time evolution of the non-soliton part is also obtained from the first order of the expansion. The results are applied to one soliton and two soliton problems. In addition, contributions of the non-soliton part to the modified conservation laws are investigated briefly.
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.
