Fourth Order Time-Stepping for Kadomtsev-Petviashvili and Davey-Stewartson Equations

Abstract

Purely dispersive partial differential equations such as the Korteweg–de Vries equation, the nonlinear Schrödinger equation, and higher dimensional generalizations thereof can have solutions which develop a zone of rapid modulated oscillations in the region where the corresponding dispersionless equations have shocks or blow-up. To numerically study such… (More)
DOI: 10.1137/100816663

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Cite this paper

@article{Klein2011FourthOT, title={Fourth Order Time-Stepping for Kadomtsev-Petviashvili and Davey-Stewartson Equations}, author={C. Klein and K. Roidot}, journal={SIAM J. Scientific Computing}, year={2011}, volume={33}, pages={3333-3356} }