Summary
The 3×3 eigenvalue problem, in which some of the variables are the usual even quantities and others are odd, is considered. Using the methods of one of the authors Li (1982), we deduce a class of completely integrable equations, which can be proved to be pure differential equations. One of its reduced forms is given, which includes the super KdV equation as the special case and their infinite conserved currents and discussed.
Riassunto
Si considera il problema dei 3×3 autovalori in cui alcune variabili sono le solite pari ed altre sono dispari. Usando i metodi della ref. (5) si deduce una classe di equazioni completamente integrabili, che, come si può provare, sono equazioni differenziali pure. Si dà una delle sue forme ridotte, che include l'equazione di super KdV come caso speciale e si discutono le loro correnti conservate infinite.
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References
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Traduzione a cura della Redazione.
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Yi-Shen, L., Li-ning, Z. Super AKNS scheme and its infinite conserved currents. Nuov Cim A 93, 175–183 (1986). https://doi.org/10.1007/BF02819989
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DOI: https://doi.org/10.1007/BF02819989