Abstract
The spectral transform for the Davey-Stewartson I equation describing the Hamiltonian case of this equation is suggested. It is shown that the spectral data obey closed nonlinear evolution equations.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. S. Fokas and M. J. Ablowitz,Phys. Rev. Lett.,51, (1983) 7.
M. J. Ablowitz and C. L. Schultz,SIAM,80 (1989) 229.
C. L. Schultz and M. J. Ablowitz,Phys. Lett. A,135 (1989) 433.
M. Boiti, J. Leon, L. Martina, and F. Pempinelli,Phys. Lett.,132A (1988) 432.
A. S. Fokas and P. M. Santini,Phys. Rev. Lett.,63 (1989) 1329.
M. Boiti, F. Pempinelli, A. K. Pogrebkov, and M. C. Polivanov,Inverse Problems,8 (1992) 331.
M. Boiti, F. Pempinelli, and A. K. Pogrebkov,Theoret. Math. Phys., (1994) this issue.
T. I. Garagash and A. K. Pogrebkov, to be published.
M. J. Ablowitz, S. V. Manakov, and C. L. Schultz,Phys. Lett. A,148 (1990) 50.
Additional information
Steklov Mathematical Institute, Moscow, Russian. E-mail: pogreb@qft.mian.su. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 99, No. 2, pp. 278–284, May, 1994.
Rights and permissions
About this article
Cite this article
Garagash, T.I., Pogrebkov, A.K. Inverse scattering transform for the Hamiltonian version of the Davey-Stewartson I equation. Theor Math Phys 99, 583–587 (1994). https://doi.org/10.1007/BF01016142
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01016142