KP solitons and total positivity for the Grassmannian

  title={KP solitons and total positivity for the Grassmannian},
  author={Yuji Kodama and Lauren K. Williams},
  journal={Inventiones mathematicae},
Soliton solutions of the KP equation have been studied since 1970, when Kadomtsev and Petviashvili proposed a two-dimensional nonlinear dispersive wave equation now known as the KP equation. It is well-known that one can use the Wronskian method to construct a soliton solution to the KP equation from each point of the real Grassmannian $$Gr_{k,n}$$Grk,n. More recently, several authors (Biondini and Chakravarty, J Math Phys 47:033514, 2006; Biondini and Kodama, J. Phys A Math Gen 36:10519–10536… 
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