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- W2095469050 abstract "It is shown that if a function of x and t satisfies the Korteweg‐de Vries equation and is periodic in x, then its Fourier components satisfy a Hamiltonian system of ordinary differential equations. The associated Poisson bracket is a bilinear antisymmetric operator on functionals. On a suitably restricted space of functionals, this operator satisfies the Jacobi identity. It is shown that any two of the integral invariants discussed in Paper II of this series have a zero Poisson bracket." @default.
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- W2095469050 date "1971-08-01" @default.
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- W2095469050 title "Korteweg‐de Vries Equation and Generalizations. IV. The Korteweg‐de Vries Equation as a Hamiltonian System" @default.
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- W2095469050 doi "https://doi.org/10.1063/1.1665772" @default.
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