Numerical simulation of generalized KP type equations with small dispersion
Christian Klein and Christof Sparber
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Submission date: 15. Feb. 2006
published 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] / L. Wenbin (ed.)
Beijing : Science Press, 2007. - P. 248 - 261
MSC-Numbers: 35Q53, 74S25, 34E15
Keywords and phrases: (modified) Korteweg-de Vries equation, kadomtsev-petviashvili equation, nonlinear dispersive models
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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.