The Nonlinear Evolution Equation for the Order Parameter in Superfluid Helium-Four

  • Radha Balakrishnan
Part of the NATO ASI Series book series (ASIC, volume 310)

Abstract

Using the procedure of Calogero and Eckhaus it is shown that the nonlinear evolution equation for the order parameter in superfluid helium-four is not C-integrable. It is likely to be S-integrable.

Keywords

Inverse Problem Microscopic Model Inverse Scattering Nonlinear Evolution Equation Schrodinger Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. [l]
    Balakrishnan Radha, Sridhar.R. and Vasudevan.R (1989) ‘Hydrodynamics of superfluid helium-four in a pseudospin model’, Phys. Rev. B 39, 174ADSCrossRefGoogle Scholar
  2. Balakrishnan Radha, Sridhar.R. and Vasudevan.R ‘Nonlinear dynamics in superfluid helium-four’ Phys. Lett. A 125, 489 (1987)Google Scholar
  3. [2]
    Calogero F. and Eckhaus W (1987) ‘Nonlinear evolution equations, rescalmgs, model PDEs and their integrability: I’, Inverse Problems 3, 229.MathSciNetADSMATHCrossRefGoogle Scholar

Copyright information

© Kluwar Academic Publishers 1990

Authors and Affiliations

  • Radha Balakrishnan
    • 1
  1. 1.The Institute of Mathematical SciencesMadrasIndia

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