Abstract
One of the main types of jumps in reversible systems—jumps with radiation—is investigated using the example of the generalized Korteweg-de Vries equation. A method of obtaining the relations at the jump without analysing its structure is indicated. Averaged equations and equations for the centered simple envelope wave which give a fairly simple and effective description of the jump in the non-local sense are derived. A method for the numerical solution of these equations is described. Methods of investigating the structure of the jump are analysed. One of the methods consists of the fact that the structure of the jump with radiation is regarded as part of a fundamental type of solitary wave - a multi-soliton with an infinite number of elementary solitary waves.
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.
