Hierarchy of integrable Hamiltonians describing of nonlinear n-wave interaction
classification
🧮 math-ph
math.MPnlin.SI
keywords
hamiltonianshierarchyintegrablen-wavenonlinearconstructdescribedescribing
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In the paper we construct an hierarchy of integrable Hamiltonian systems which describe the variation of n-wave envelopes in nonlinear dielectric medium. The exact solutions for some special Hamiltonians are given in terms of elliptic functions of the first kind.
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