Integrable nonautonomous nonlinear Schrödinger equations are equivalent to the standard autonomous equation

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 79, Issue 1, 2009, Pages

  Kundu, Anjan ^a  

^a SAHA INSTITUTE OF NUCLEAR PHYSICS   (India)

Author keywords

[No Author keywords available]

Indexed keywords

AUTONOMOUS EQUATIONS; DINGER EQUATIONS; INTEGRABILITY; INTEGRABLE SYSTEMS; NON-AUTONOMOUS;

NONLINEAR EQUATIONS;

EID: 58949093781     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.015601     Document Type: Article

References (27)

1. H. H. Chen and C. S. Liu, Phys. Rev. Lett. 37, 693 (1976). 10.1103/PhysRevLett.37.693
2. R. Balakrishnan, Phys. Rev. A 32, 1144 (1985). 10.1103/PhysRevA.32.1144
3. R. Scharf and A. R. Bishop, Phys. Rev. A 43, 6535 (1991). 10.1103/PhysRevA.43.6535
4. V. V. Konotop, Phys. Rev. E 47, 1423 (1993); 10.1103/PhysRevE.47.1423
5. V. V. Konotop, O. A. Chubykalo, and L. Vázquez, Phys. Rev. E 48, 563 (1993). 10.1103/PhysRevE.48.563
6. V. N. Serkin and A. Hasegawa, Phys. Rev. Lett. 85, 4502 (2000). 10.1103/PhysRevLett.85.4502
7. V. I. Kruglov, A. C. Peacock, and J. D. Harvey, Phys. Rev. Lett. 90, 113902 (2003); 10.1103/PhysRevLett.90.113902
8. V. I. Kruglov, A. C. Peacock, and J. D. Harvey, Phys. Rev. Lett. 92, 199402 (2004). 10.1103/PhysRevLett.92.199402
9. V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, Phys. Rev. Lett. 92, 199401 (2004). 10.1103/PhysRevLett.92.199401
10. Z. X. Liang, Z. D. Zhang, and W. M. Liu, Phys. Rev. Lett. 94, 050402 (2005). 10.1103/PhysRevLett.94.050402
11. R. Atre, P. K. Panigrahi, and G. S. Agarwal, Phys. Rev. E 73, 056611 (2006). 10.1103/PhysRevE.73.056611
12. V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, Phys. Rev. Lett. 98, 074102 (2007). 10.1103/PhysRevLett.98.074102
13. R. Atre and P. K. Panigrahi, Phys. Rev. A 76, 043838 (2007). 10.1103/PhysRevA.76.043838
14. V. R. Kumar, R. Radha, and P. K. Panigrahi, Phys. Rev. A 77, 023611 (2008). 10.1103/PhysRevA.77.023611
15. U. Al. Khawaja, e-print arXiv:cond-mat/0706.2705.
16. U. Al. Khawaja, e-print arXiv:cond-mat/0706.2703.
17. S. S. Rajani, e-print arXiv:cond-mat/0804.2881.
18. H. G. Luo, D. Zhao, X. G. He, and L. Li, e-print arXiv:nlin.PS/0808.3437.
19. H. G. Luo, D. Zhao, X. G. He, and H. G. Luo, e-print arXiv:nlin.PS/0807. 1192.
20. D. Zhao, H. Y. Chai, and H. G. Luo, Phys. Lett. A 372, 5644 (2008). 10.1016/j.physleta.2008.07.013
21. M. Ablowitz, D. J. Kaup, A. C. Newell, and H. Segur, Stud. Appl. Math. 53, 249 (1974);
22. M. Ablowitz and H. Segur, Solitons and Inverse Scattering Transforms (SIAM, Philadelphia, 1981);
23. S. Novikov, Theory of Solitons (Consultants Bureau, New York, 1984).
24. M. J. Ablowitz and J. F. Ladik, J. Math. Phys. 16, 598 (1975). 10.1063/1.522558
25. N. Joshi, Phys. Lett. A 125, 456 (1987). 10.1016/0375-9601(87)90184-8
26. P. Das, e-print arXiv:cond-mat/0712.3672.
27. S. V. Manakov, Sov. Phys. JETP 38, 248 (1974).