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arxiv: 1607.00482 · v1 · pith:72J3MMN2new · submitted 2016-07-02 · 🧮 math.AP

A higher order system of some coupled nonlinear Schr\"odinger and Korteweg-de Vries equations

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keywords coupledequationsnonlinearschrsystemvriesappropriatebi-harmonic
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We prove existence and multiplicity of bound and ground state solutions, under appropriate conditions on the parameters, for a bi-harmonic stationary system of coupled nonlinear Schr\"odinger--Korteweg-de Vries equations.

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