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}
}
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