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)


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.


Inverse Problem Microscopic Model Inverse Scattering Nonlinear Evolution Equation Schrodinger Equation 
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  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.MathSciNetADSzbMATHCrossRefGoogle Scholar

Copyright information

© Kluwar Academic Publishers 1990

Authors and Affiliations

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

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