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Construction of homogeneous Lagrangian submanifolds in $\CP^n$ and Hamiltonian stability
Lagrangian submanifolds Hamiltonian stability
2010/11/19
We apply the concept of castling transform of prehomogeneous vector spaces to produce new examples of minimal homogeneous Lagrangian submanifolds in the complex projective space. Furthermore we verify...
On the construction of the KP line-solitons and their interactions
KPequation line-solitons t-function
2010/4/7
The line-soliton solutions of the Kadomtsev--Petviashvili (KP) equation are investigated in this article using the tau-function formalism. In particular, the Wronskian and the Grammian forms of the ta...