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arxiv: 1704.02070 · v1 · pith:GO4TZEMMnew · submitted 2017-04-07 · 🌊 nlin.SI

New Hierarchies of Derivative nonlinear Schr\"odinger-Type Equation

classification 🌊 nlin.SI
keywords derivativehierarchiesnonlinearnonlocalodinger-typereductionsschralgebra
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We generate hierarchies of derivative nonlinear Schr\"odinger-type equations and their nonlocal extensions from Lie algebra splittings and automorphisms. This provides an algebraic explanation of some known reductions and newly established nonlocal reductions in integrable systems.

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