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A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy

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Abstract

An extension of the Kadomtsev-Petviashvili hierarchy by odd variables is given. Conservation laws and formal integrability are proved.

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References

  1. Saveliev, M.: Integrable supermanifolds and nonlinear systems. Preprint IHEP 84-20, Serpukhov (1984)

  2. Chaichian, M., Kulish, P.: On the method of inverse scattering problem and Bäcklund transformations for supersymmetric equations. Phys. Lett.78 B, 413 (1978)

    Google Scholar 

  3. Kupershmidt, B.: A super-Korteweg-de Vries equation: an integrable system. Preprint UTSI, Tullahoma (1984)

  4. d'Auria, R., Sciuto, S.: Group theoretical construction of two-dimensional supersymmetric models. Nucl. Phys. B171, 189 (1980)

    Google Scholar 

  5. Date, E., Kashiwara, M., Miwa, T.: Vertex operators and τ-functions. Transformation groups for soliton equations. II. Proc. Jpn. Acad. Sci.57 A, 387 (1981)

    Google Scholar 

  6. Date, E., Jimbo, M., Kashiwara, M., Miwa, T.: Operator approach to the Kadomtsev-Petviashvili equation. Transformation groups for soliton equations. III. J. Phys. Soc. Jpn.50, 3866 (1981)

    Google Scholar 

  7. Wess, J.: Supersymmetry-supergravity. In: Lecture Notes in Physics, Vol. 77. Berlin, Heidelberg, New York: Springer 1978

    Google Scholar 

  8. Leites, D.: Introduction to the theory of supermanifolds. Russ. Math. Surv.35, 3 (1980)

    Google Scholar 

  9. Gelfand, I., Dikii, L.: Fractional powers of operators and hamiltonian systems. Funct. Analiz10, 13 (1976)

    Google Scholar 

  10. Manin, Yu.: Algebraic aspects of differential equations. J. Sov. Math.11, 1 (1979)

    Google Scholar 

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Communicated by Ya. G. Sinai

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Manin, Y.I., Radul, A.O. A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy. Commun.Math. Phys. 98, 65–77 (1985). https://doi.org/10.1007/BF01211044

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