The quantum SKdV $_{1,4}$ equation at $c=3$

preprint1996arXivOpen access

At $c=3$ , two of the three integrable quantum $N=2$ supersymmetric Korteweg-de Vries equations become identical (SKdV $_1$ and SKdV $_4$ ). Quite remarkably, all their conservation laws can be written in closed form, which provides thus a simple constructive integrability proof.

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The quantum SKdV $_{1,4}$ equation at $c=3$

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The quantum SKdV1,4_{1,4}1,4​ equation at c=3c=3c=3

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The quantum SKdV $_{1,4}$ equation at $c=3$