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Prolongation structure of a new integrable system

  • A. Roy Chowdhury
  • S. Paul
Article

Abstract

We have obtained the inverse scattering equations associated with a new pair of coupled nonlinear evolution equations in two dimensions. The spectral parameter is introduced by invoking the invariance of the equation set, and imposing those on the Lax pair.

Keywords

Field Theory Elementary Particle Quantum Field Theory Evolution Equation Integrable System 
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References

  1. Anderson, R. L., and Ibragimov, N. H. (1979).Lie-Backlund Transformation in Application. SIAM, Philadelphia.Google Scholar
  2. Chowdhury, A. Roy, and Roy, T. (1979).Journal of Mathematical Physics,20, 1159.Google Scholar
  3. Chowdhury, A. Roy, and Roy, T. (1980).Journal of Mathematical Physics,21, 1416.Google Scholar
  4. Lax, P. D. (1968).Communications in Pure and Applied Mathematics,21, 467.Google Scholar
  5. Rebbi, C., and Soliani, G. Brookhaven National Laboratory, preprint BNL-35142.Google Scholar
  6. Whalquist, H., and Eastabrook, F. B. (1975).Journal of Mathematical Physics,16, 1.Google Scholar

Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • A. Roy Chowdhury
    • 1
  • S. Paul
    • 2
  1. 1.International Centre for Theoretical PhysicsTriesteItaly
  2. 2.High Energy Physics Division, Department of PhysicsJadavpur UniversityCalcuttaIndia

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