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Why is every Hamiltonian system locally integrable?

For non-singular Hamiltonian systems, you can see it as a consequence of a slight generalization of the Darboux Theorem which is known as the Carathéodory--Jacobi--Lie Theorem (see, e.g. Libermann, Ma …
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What is soliton

Dear Pradip There is the historical and theoretical survey "The Symmetry of Solitons" by Richard Palais. I have liked it very much, so I hope you can find it useful. Bye.
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