On the soliton-free structure of scattering data on perturbation of a two-dimensional soliton for the Davey-Stewartson equation II

Theoretical and Mathematical Physics

Volumn 106, Issue 2, 1996, Pages 167-173

  Gadyl'shin, R R ^a   Kiselev, O M ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030511652     PISSN: 00405779     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02071071     Document Type: Article

References (20)

1. V. E. Zakharov and A. B. Shabat, Funkts. Anal. Prilozh., 8, No. 3, 43-53 (1974).
2. V. E. Zakharov, S. V. Manakov, S. P. Novikov, and L. P. Pitaevskii, Soliton Theory: The Method of the Inverse Scattering Problem [in Russian], Nauka, Moscow (1980).
3. M. J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform, SIAM, Philadelphia (1981).
4. A. S. Fokas and M. J. Ablowitz, J. Math. Phys., 25, 2494-2505 (1984).
5. V. A. Arkadiev, A. K. Pogrebkov, and M. C. Polivanov, Physica D, 36, 189-197 (1989).
6. D. J. Kaup, SIAM J. Appl. Math., 31, 121-133 (1976).
7. V. I. Karpman and E. M. Maslov, Zh. Eksp. Teor. Fiz., 73, 537-559 (1977).
8. D. W. McLaughlin and A. S. Scott, Phys. Rev. A, 18, 1652-1697 (1977).
9. E. M. Maslov, Teor. Mat. Fiz., 42, 362-373 (1980).
10. V. P. Maslov and G. A. Omel'yanov, Usp. Mat. Nauk, 36, No. 3, 63-126 (1981).
11. Y. S. Kivshar and B. A. Malomed, Rev. Mod. Phys., 61, No. 4, 763-915 (1989).
12. L. A. Kalyakin, Teor. Mat. Fiz., 92, 62-77 (1992).
13. O. M. Kiselev, Teor. Mat. Fiz., 93, 39-48 (1992).
14. B. B. Kadomtsev and V. I. Petviashvili, Dokl. Akad. Nauk SSSR, 192, 753 (1970).
15. L. A. Bordag, A. R. Its, V. M. Matveev, and V. E. Zakharov, Phys. Lett. A, 63, 205 (1979).
16. D. E. Pelynovskii and Ju. A. Stepanyants, Zh. Eksp. Teor. Fiz., 104, 3387-3400 (1993).
17. J. Satsuma and M. J. Ablowitz, J. Math. Phys., 20, 1496 (1979).
18. L. Y. Sung and A. S. Fokas, "Inverse problem in multidimensions," Preprint No. 98, Institute for Nonlinear Studies, Clarkson University, Potsdam, NY (1990).
19. V. S. Vladimirov, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1988).
20. P. P. Kulish and V. D. Lipovskii, Zap. Nauchn. Sem. LOMI, 161, 54-71 (1987).