Cole-Hopf like transformation for a class of coupled nonlinear Schrödinger equations

Reports on Mathematical Physics

Volumn 49, Issue 2-3, 2002, Pages 203-209

  Kaniadakis, G ^a   Miraldi, E ^a   Scarfone, A M ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

Cole Hopf transformation; Coupled nonlinear Schr dinger equations; Nonlinear transformations

Indexed keywords

EID: 0036557060     PISSN: 00344877     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0034-4877(02)80019-2     Document Type: Article

References (20)

1. A. Hasegawa and Y. Kodama: Solitons in Optical Communication, Oxford University Press, New York 1995.
2. A. L. Berkhoer and V. E. Zakharov: Sov. Phys. JETP 31 (1970), 486.
3. M. J. Ablowitz and D. J. Benney: Stud. Appl. Math. 49 (1979), 225.
4. G. P. Agrawal: Phys. Rev. Lett. 59 (1987), 880.
5. N. M. Ryskin: Sov. Phys. JETP 79 (1994), 833.
6. T.-L. Ho: Phys. Rev. Lett. 81 (1998), 742.
7. M. R. Matthews et al.: Phys. Rev. Lett. 83 (1999), 3358.
8. S.-K. Yip: Phys. Rev. Lett. 83 (1999), 4677.
9. G. Kaniadakis and A. M. Scarfone: Rep. Math. Phys. 46 (2000), 113.
10. G. Kaniadakis and A. M. Scarfone: Rep. Math. Phys. 48 (2001), 115.
11. M. J. Ablowitz and P. A. Clarkson: Solitons, Nonlinear Evolution Equations and Inverse Scattering, Cambridge University Press, Cambridge 1991.
12. D. N. Christodoulides and T. H. Coskun: Phys. Rev. Lett. 78, 646 (1997).
13. Y. S. Kivshar and E. A. Ostrovskaya: arXiv:patt-sol/9912008.
14. R. Jackiw: J. Nonlinear Math. Phys. 4, 261 (1997). arXiv:hep-th/9611185.
15. H. H. Chen, Y. C. Lee and C. S. Liu: Phys. Scr. 20 (1979), 490.
16. D. J. Kaup and A. C. Newell: J. Math. Phys. 19 (1978), 798.
17. T. Tsuchida and M. Wadati: Inverse Problems 15 (1999), 1363.
18. T. Tsuchida and M. Wadati: Phys. Lett. A257 (1999), 53.
19. S. Y. Sakovich and T. Tsuchida: J. Phys. A: Math. Gen. 33 (2000), 7217.
20. F. Calogero, A. Degasperis and S. De Lillo: J. Phys. A: Math. Gen. 30 (1997), 5805.