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Your search keyword '"Yoshihide Watanabe"' showing total 2 results
Start Over Author "Yoshihide Watanabe" Journal annali di matematica pura ed applicata
2 results on '"Yoshihide Watanabe"'

1. Hamiltonian structure of M. Sato's hierarchy of Kadomtsev-Petviashvili equation

Author

Yoshihide Watanabe

Subjects
Applied Mathematics, Equations of motion, Lie group, Kadomtsev–Petviashvili equation, Hamiltonian system, symbols.namesake, Nonlinear Sciences::Exactly Solvable and Integrable Systems, Hamiltonian structure, Evolution equation, symbols, Hamiltonian (quantum mechanics), Mathematics::Symplectic Geometry, Mathematical physics, Mathematics
Abstract

The Hamiltonian structure of M. Sato's hierarchy of higher order Kadomtsev-Petviashvili (KP) equation is derived. It is proved that KP equation is Hamiltonian equation of motion on the coadjoint orbit of a certain formal Lie group. Furthermore it possesses a family of infinitely many conserved densities which is in involution.

Published
1984
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2. A Hamilton formalism for evolution equations with odd variables

Author

Yoshihide Watanabe

Subjects
Partial differential equation, Applied Mathematics, Hamiltonian optics, Special class, Differential operator, Superalgebra, Algebra, Formalism (philosophy of mathematics), symbols.namesake, symbols, Covariant Hamiltonian field theory, Hamiltonian (quantum mechanics), Mathematics::Symplectic Geometry, Mathematical physics, Mathematics
Abstract

A certain super Hamiltonian formalism for evolution equations with odd variables is constructed by establishing the notion of super Hamiltonian operator. A useful criterion for the operator of the special class to be super Hamiltonian is presented, by means of which the two differential operators derived by Manin- Radul and the author from the SKP hierarchy are proved to be super Hamiltonian.

Published
1989
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