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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
20/2006

Numerical simulation of generalized KP type equations with small dispersion

Christian Klein and Christof Sparber

Abstract

We numerically study nonlinear dispersive wave equations of generalized Kadomtsev-Petviashvili type in the regime of small dispersion. To this end we include general power-law nonlinearities with different signs. A particular focus is on the Korteweg-de Vries sector of the corresponding solutions.

Received:
Feb 15, 2006
Published:
Feb 15, 2006
MSC Codes:
35Q53, 74S25, 34E15
Keywords:
(modified) Korteweg-de Vries equation, kadomtsev-petviashvili equation, nonlinear dispersive models

Related publications

inBook
2007 Repository Open Access
Christian Klein and Christof Sparber

Numerical simulation of generalized KP type equations with small dispersion

In: Recent progress in scientific computing : [first conference jointly with the 2005 International Conference on Scientific Computing and Differential Equations, Hong Kong, December 12 - 16, 2005; refereed conference proceedings] / Liu Wenbin (ed.)
Beijing : Science Press, 2007. - pp. 248-261