Prediction Technique of the Discontinuity Structure in Weakly Dissipative Media with Dispersion

Cover Page

Cite item


By an example of the generalized Korteweg-Burgers equation by means of a numerical analysis it was found that for the weakly dissipative media with dispersion and nonlinearity there are three types of discontinuity structures: stationary, periodic on time and stochastic ones. The stationary weakly dissipative structures inside themselves contain dissipation-free discontinuity structures such as transitions between homogeneous or wave states. A technique of research of branches of doubly periodic solutions of the generalized Korteweg-de Vries equation has been developed. A correspondence has been revealed between the types of the internal discontinuity structure and the pictures of the branches arrangement. Research was conducted on the dependence of the type of discontinuity upon its amplitude and dissipation parameter.

About the authors

I B Bakholdin

Keldysh Institute of Applied Mathematics

Keldysh Institute of Applied Mathematics


Copyright (c) 2010 Бахолдин И.Б.

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies