On the simplest ( 2 + 1 ) dimensional integrable spin systems and their equivalent nonlinear Schrödinger equations

@inproceedings{Myrzakulov1998OnTS,
  title={On the simplest ( 2 + 1 ) dimensional integrable spin systems and their equivalent nonlinear Schr{\"o}dinger equations},
  author={Ratbay Myrzakulov and Sarojini Vijayalakshmi and R. N. Syzdykova and Muthusamy Lakshmanan},
  year={1998}
}
Using a moving space curve formalism, geometrical as well as gauge equivalence between a (2+1) dimensional spin equation (M-I equation) and the (2+1) dimensional nonlinear Schrödinger equation (NLSE) originally discovered by Calogero, discussed then by Zakharov and recently rederived by Strachan, have been estabilished. A compatible set of three linear equations are obtained and integrals of motion are discussed. Through stereographic projection, the M-I equation has been bilinearized and… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 21 references

The L-equivalent counterpart of the M-III equation

  • R. Myrzakulov, A.K.Danlybaeva
  • Preprint CNLP
  • 1994
Highly Influential
7 Excerpts

On some integrable and nonintegrable soliton equations of magnets I-IV (HEPI

  • R. Myrzakulov
  • Alma-Ata,
  • 1987
Highly Influential
10 Excerpts

in Solitons

  • V. E. Zakharov
  • Bullough R K and Caudrey P J (Eds.)
  • 1980
Highly Influential
6 Excerpts

Lett

  • F. Calogero
  • Nuovo Cimento 14, 43
  • 1975
Highly Influential
4 Excerpts

A: Math

  • R. Radha, M. Lakshmanan, J. Phys
  • Gen. 30, 3229
  • 1997
3 Excerpts

Pramana 48

  • M. Lakshmanan, R. Radha
  • 163
  • 1997
2 Excerpts

HEPI Preprint

  • R. Myrzakulov, M. Lakshmanan
  • Alma-Ata)
  • 1996
2 Excerpts

Reports NAS RK 5

  • R. Myrzakulov, K. N. Bliev, A. B. Borzykh
  • 17
  • 1996
1 Excerpt

Chaos

  • B. Piette, W. J. Zakrzewski
  • Solitons and Fractals 5, 2495
  • 1995
2 Excerpts

On the L-equivalence between the Ishimori equation and the Davey-Stewartson equation

  • R. Myrzakulov, R.N.Syzdykova
  • Preprint CNLP. Alma-Ata
  • 1994
1 Excerpt

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