# KP solitons in shallow water

@article{Kodama2010KPSI, title={KP solitons in shallow water}, author={Yuji Kodama}, journal={Journal of Physics A}, year={2010}, volume={43}, pages={434004} }

The main purpose of the paper is to provide a survey of our recent studies on soliton solutions of the Kadomtsev–Petviashvili (KP) equation. The KP equation describes weakly dispersive and small amplitude wave propagation in a quasi-two-dimensional framework. Recently, a large variety of exact soliton solutions of the KP equation has been found and classified. These solutions are localized along certain lines in a two-dimensional plane and decay exponentially everywhere else, and are called…

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## 106 Citations

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