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arxiv: 1501.03580 · v1 · pith:5THYV2WZnew · submitted 2015-01-15 · 🧮 math-ph · math.MP· nlin.SI

Nonlocal symmetries and conservation laws of the coupled Hirota equation

classification 🧮 math-ph math.MPnlin.SI
keywords nonlocalcoupledequationhirotasymmetryconservationlawsappropriate
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Using the lax pair, nonlocal symmetry of the coupled Hirota equation is obtained. By introducing an appropriate auxiliary dependent variable the nonlocal symmetry is successfully localized to a Lie point symmetry. For the closed prolongation, one-dimensional optimal systems and nonlocal conservation laws of the coupled Hirota equation are studied.

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