Using a Hamiltonian framework with complex canonical variables allows for the determination of irreducible forms, which serve as building blocks for polynomial invariants. All the independent invariants in involution are thus obtained for the restricted multiple three‐wave interactions, where all triads are coupled through a common pump (or daughter) wave, in the case of equal coupling strengths in all triads. The mixed, common pump/daughter wave case is not integrable.
Topics
Functions and mappings
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© 1987 American Institute of Physics.
1987
American Institute of Physics
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