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Super-KdV equation: classical solutions and quantization

  1. Petr P. Kulish1,
  2. Anton M. Zeitlin2,†

Article first published online: 22 DEC 2004

DOI: 10.1002/pamm.200410269

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PAMM

PAMM

Volume 4, Issue 1, pages 576–577, December 2004

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How to Cite

Kulish, P. P. and Zeitlin, A. M. (2004), Super-KdV equation: classical solutions and quantization. Proc. Appl. Math. Mech., 4: 576–577. doi: 10.1002/pamm.200410269

Author Information

  1. 1

    St. Petersburg Department of Steklov Mathematical Institute, Fontanka, 27, St. Petersburg, 191023, Russia

  2. 2

    Department of High Energy Physics, Physics Faculty, St. Petersburg State University, Ul'yanovskaja 1, Petrodvoretz, St. Petersburg, 198904, Russia

  1. †

    http://www.ipme.ru/zam.html

Publication History

  1. Issue published online: 22 DEC 2004
  2. Article first published online: 22 DEC 2004

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Abstract

The supersymmetric extension of the Korteweg-de Vries equation (super-KdV) is considered. The direct and inverse scattering problems are studied and the N-soliton solutions are obtained. The quantization of this dynamical system is introduced and possible application of the quantum inverse scattering method is also dicussed. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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