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arxiv: nlin/0303040 · v1 · submitted 2003-03-20 · 🌊 nlin.SI · math-ph· math.AP· math.MP

On integrability of one third-order nonlinear evolution equation

classification 🌊 nlin.SI math-phmath.APmath.MP
keywords equationevolutionnonlinearthird-orderchoucurveessentialfind
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We study one third-order nonlinear evolution equation, recently introduced by Chou and Qu in a problem of plane curve motions, and find its transformation to the modified Korteweg - de Vries equation, its zero-curvature representation with an essential parameter, and its second-order recursion operator.

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