Works cited by this work

47 works

Work: Integration of the equation formed by the combination of the equations AKNS(+1) and AKNS(-1) using the inverse problem for periodic Dirac operator

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    Other1 citations

    ABIABI:AkademIndex/openalex/2026.other.820429

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    Other1 citations

    ABIABI:AkademIndex/openalex/2026.other.820430

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    Other1 citations

    ABIABI:AkademIndex/openalex/2026.other.820431

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    Other1 citations

    ABIABI:AkademIndex/openalex/2026.other.820432

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    Other1 citations

    ABIABI:AkademIndex/openalex/2026.other.820433

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    Other1 citations

    ABIABI:AkademIndex/openalex/2026.other.820434

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    Other1 citations

    ABIABI:AkademIndex/openalex/2026.other.820435

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    Other1 citations

    ABIABI:AkademIndex/openalex/2026.other.820436