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# Soliton Solutions of the Kp Equation and Application to Shallow Water Waves

@inproceedings{Chakravarty2009SolitonSO, title={Soliton Solutions of the Kp Equation and Application to Shallow Water Waves}, author={Sarbarish Chakravarty and Yuji Kodama}, year={2009} }

- Published 2009

The main purpose of this paper is to give a survey of recent development on a classification of soliton solutions of the KP equation. The paper is self-contained, and we give a complete proof for the theorems needed for the classification. The classification is based on the Schubert decomposition of the real Grassmann manifold, Gr(N, M), the set of N -dimensional subspaces in RM . Each soliton solution defined on Gr(N, M) asymptotically consists of the N number of line-solitons for y 0 and the… CONTINUE READING

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