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Multiple-high-order pole solutions for the NLS equation with quartic terms

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arxiv 2108.07404 v2 pith:OGP75PCL submitted 2021-08-17 nlin.SI

Multiple-high-order pole solutions for the NLS equation with quartic terms

classification nlin.SI
keywords polesolutionsmultiple-high-orderequationnd-ordernvbcquarticterms
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The aim of this article is to investigate the multiple-high-order pole solutions to the focusing NLS equation with quartic terms(QNLS) under the non-vanishing boundary conditions(NVBC) via the Riemann-Hilbert(RH) method. The determinant formula of multiple-high-order pole soliton solutions for NVBC is given. Further the double 1nd-order, mixed 2nd- and 1nd-order pole solutions are obtained.

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