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1.
1. R. Hirota, J. Math. Phys. 14, 805 (1973).
http://dx.doi.org/10.1063/1.1666399
2.
2. M. Lakshmanan and S. Ganesan, J. Phys. Soc. Jpn. 52, 4031 (1983).
http://dx.doi.org/10.1143/JPSJ.52.4031
3.
3. N. Sasa and J. Satsuma, J. Phys. Soc. Jpn. 60, 409 (1991).
http://dx.doi.org/10.1143/JPSJ.60.409
4.
4. G. L. Lamb, Elements of Soliton Theory (John Wiley and Sons, 1980).
5.
5. V. I. Karpman, J. J. Rasmussen, and A. G. Shagalov, Phys. Rev. E 64, 026614 (2001).
http://dx.doi.org/10.1103/PhysRevE.64.026614
6.
6. A. Ankiewicz, J. M. Soto-Crespo and N. Akhmediev, Phys. Rev. E 81, 046602 (2010).
http://dx.doi.org/10.1103/PhysRevE.81.046602
7.
7. D. G. Zhang and J. Liu, J. Phys. A: Math. Gen. 22, L53 (1989).
http://dx.doi.org/10.1088/0305-4470/22/9/004
8.
8. L. F. Mollenauer, R. H. Stolen and J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
http://dx.doi.org/10.1103/PhysRevLett.45.1095
9.
9. R. S. Tasgal and M. J. Potasek, J. Math. Phys. 33, 1208 (1992).
http://dx.doi.org/10.1063/1.529732
10.
10. S. Nandy, Nuclear Phys. B 679, 647 (2004).
http://dx.doi.org/10.1016/j.nuclphysb.2003.12.018
11.
11. S. G. Bindu, A. Mahalingam, and K. Porsezian, Phys. Lett. A 286, 321 (2001).
http://dx.doi.org/10.1016/S0375-9601(01)00371-1
12.
12. A. Mahalingam and K. Porsezian, J. Phys. A: Math. Gen. 35, 3099 (2002).
http://dx.doi.org/10.1088/0305-4470/35/13/306
13.
13. R. Radhakrishnan, M. Lakshmanan, and M. Daniel, J. Phys. A 28, 7299 (1995).
http://dx.doi.org/10.1088/0305-4470/28/24/025
14.
14. S. V. Manakov, Sov. Phys. JETP 38, 248 (1974).
15.
15. V. G. Makhankov, Phys. Lett. A 81, 156 (1981);
http://dx.doi.org/10.1016/0375-9601(81)90050-5
15.V. G. Makhankov, N. V. Makhaldiani, and O. K. Pashaev, Phys. Lett. A 81, 161 (1981).
http://dx.doi.org/10.1016/0375-9601(81)90051-7
16.
16. R. Radhakrishnan, M. Lakshmanan, and J. Hietarinta, Phys. Rev. E 56, 2213 (1997).
http://dx.doi.org/10.1103/PhysRevE.56.2213
17.
17. T. Kanna and M. Lakshmanan, Phys. Rev. Lett. 86, 5043 (2001);
http://dx.doi.org/10.1103/PhysRevLett.86.5043
17.T. Kanna and M. Lakshmanan, Phys. Rev. E 67, 046617 (2003).
http://dx.doi.org/10.1103/PhysRevE.67.046617
18.
18. M. Vijayajayanthi, T. Kanna, and M. Lakshmanan, Eur. Phys. J. Special Topics 173, 57 (2009).
http://dx.doi.org/10.1140/epjst/e2009-01067-9
19.
19. M. J. Ablowitz, B. Prinari, and A. D. Trubatch, Inverse Probl. 20, 1217 (2004).
http://dx.doi.org/10.1088/0266-5611/20/4/012
20.
20. R. Radhakrishnan and M. Lakshmanan, J. Phys. A 28, 2683 (1995).
http://dx.doi.org/10.1088/0305-4470/28/9/025
21.
21. A. P. Sheppard and Y. S. Kivshar, Phys. Rev. E 55, 4773 (1997).
http://dx.doi.org/10.1103/PhysRevE.55.4773
22.
22. T. Kanna, M. Lakshmanan, P. T. Dinda, and N. Akhmediev, Phys. Rev. E 73, 026604 (2006).
http://dx.doi.org/10.1103/PhysRevE.73.026604
23.
23. K. Porsezian and M. Lakshmanan, Inverse Prob. 5, L15 (1989).
http://dx.doi.org/10.1088/0266-5611/5/2/001
24.
24. K. Narita, J. Phys. Soc. Japan 59, 3528 (1990).
http://dx.doi.org/10.1143/JPSJ.59.3528
25.
25. K. Narita, J. Phys. Soc. Japan 60, 1497 (1991).
http://dx.doi.org/10.1143/JPSJ.60.1497
26.
26. A. Ankiewicz, N. Akhmediev, and J. M. Soto-Crespo, Phys. Rev. E 82, 026602 (2010).
http://dx.doi.org/10.1103/PhysRevE.82.026602
27.
27. V. V. Konotop and S. Takeno, Phys. Rev. E 54, 2010 (1996).
http://dx.doi.org/10.1103/PhysRevE.54.2010
28.
28. M. Hisakado, J. Phys. Soc. Japan 66, 1939 (1997).
http://dx.doi.org/10.1143/JPSJ.66.1939
29.
29. M. J. Ablowitz, Y. Ohta, and A. D. Trubatch, Phys. Lett. A 253, 287 (1999).
http://dx.doi.org/10.1016/S0375-9601(99)00048-1
30.
30. T. Tsuchida, H. Ujino, and M. Wadati, J. Phys. A 32, 2239 (1999).
http://dx.doi.org/10.1088/0305-4470/32/11/016
31.
31. Y. Ohta, Chaos, Solitons and Fractals 11, 91 (2000).
http://dx.doi.org/10.1016/S0960-0779(98)00272-0
32.
32. M. J. Ablowitz, B. Prinari, and A. D. Trubatch, Discrete and continuous nonlinear Schrödinger systems (Cambridge University Press, Cambridge, 2004).
33.
33. Y. Ohta, Stud. Appl. Math. 122, 427 (2009).
http://dx.doi.org/10.1111/j.1467-9590.2009.00443.x
34.
34. R. Hirota, The direct methods in Soliton theory, edited and translated into English by A. Nagai, J. J. C. Nimmo, and C. R. Gilson (Cambridge University Press, 2004).
35.
35. C. Morosi, L. Pizzccchero, Commun. Math. Phys. 180, 505 (1996).
http://dx.doi.org/10.1007/BF02099723
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/content/aip/journal/adva/3/2/10.1063/1.4791765
2013-02-05
2016-09-24

Abstract

In this paper, we obtain the coupled bright-bright and the coupled dark-dark soliton solutions for an integrable coupled semidiscrete Hirota equation (ICDHE) using the bilinear method. These solutions have both singular and nonsingular behaviors depending upon the choice of the parameters. The distinguishing feature of the ICDHE is that the singular solution can possess some nonsingular characteristics in the discrete space at some time. The asymptotic behavior of these coupled bright-bright and the coupled dark-dark solitons is studied in order to explain their collision properties.

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