Derivation of a modified Korteweg-de Vries model for few-optical-cycles soliton propagation from a general Hamiltonian

Optics Communications

Volumn 285, Issue 13-14, 2012, Pages 3179-3186

  Triki, H ^b   Leblond, H ^a   Mihalache, D ^a,c,d  

^a UNIVERSITÉ D'ANGERS   (France)

^b BADJI MOKHTAR UNIVERSITY   (Algeria)

^c HORIA HULUBEI NATIONAL INSTITUTE OF PHYSICS AND NUCLEAR ENGINEERING   (Romania)

^d ACADEMY OF ROMANIAN SCIENTISTS   (Romania)

Author keywords

Few cycle pulses; Few cycle solitons; mKdV equation; Modified Korteweg de Vries equation

Indexed keywords

CENTROSYMMETRIC; EVOLUTION MODELS; FEW-CYCLE; FEW-CYCLE PULSE; KORTEWEG-DE VRIES; LONG-WAVE APPROXIMATION; MKDV EQUATION; NON-LINEAR OPTICAL; NONLINEAR MEDIUM; REDUCTIVE PERTURBATION; SOLITON PROPAGATION; TRANSITION FREQUENCIES; WAVE FREQUENCIES;

HAMILTONIANS; KORTEWEG-DE VRIES EQUATION;

SOLITONS;

EID: 84859740213     PISSN: 00304018     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.optcom.2012.02.045     Document Type: Article

References (71)

1. L. Gallmann, D.H. Sutter, N. Matuschek, G. Steinmeyer, U. Keller, C. Iaconis, and I.A. Walmsley Optics Letters 24 1999 1314
2. U. Morgner, F.X. Kärtner, S.H. Cho, Y. Chen, H.A. Haus, J.G. Fujimoto, E.P. Ippen, V. Scheuer, G. Angelow, and T. Tschudi Optics Letters 24 1999 411
3. D.H. Sutter, G. Steinmeyer, L. Gallmann, N. Matuschek, F. Morier-Genoud, U. Keller, V. Scheuer, G. Angelow, and T. Tschudi Optics Letters 24 1999 631
4. A. Shirakawa, I. Sakane, M. Takasaka, and T. Kobayashi Applied Physics Letters 74 1999 2268
5. T. Brabek, and F. Krausz Reviews of Modern Physics 72 2000 545
6. E. Goulielmakis, M. Schultze, M. Hofstetter, V.S. Yakovlev, J. Gagnon, M. Uiberacker, A.L. Aquila, E.M. Gullikson, D.T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg Science 320 2008 1614
7. M. Wegener Extreme Nonlinear Optics 2005 Springer Berlin
8. A. Scrinzi, M.Yu. Ivanov, R. Kienberger, and D.M. Villeneuve Journal of Physics B 39 2006 R1
9. F. Krausz, and M. Ivanov Reviews of Modern Physics 81 2009 163
10. X. Tan, X. Fan, Y. Yang, and D. Tong Journal of Modern Optics 55 2008 2439
11. N.N. Rosanov, V.E. Semenov, and N.V. Vyssotina Laser Physics 17 2007 1311
12. N.N. Rosanov, V.E. Semenov, and N.V. Vysotina Quantum Electronics 38 2008 137
13. A. Nazarkin Physical Review Letters 97 2006 163904
14. A.I. Maimistov Quantum Electronics 40 2010 756
15. T. Brabec, and F. Krausz Physical Review Letters 78 1997 3282
16. M.V. Tognetti, and H.M. Crespo Journal of the Optical Society of America B 24 2007 1410
17. A.A. Voronin, and A.M. Zheltikov Physical Review A 78 2008 063834
18. A. Kumar, and V. Mishra Physical Review A 79 2009 063807
19. P. Kinsler, and G.H.C. New Physical Review A 67 2003 023813
20. A.A. Zozulya, S.A. Diddams, and T.S. Clement Physical Review A 58 1998 3303
21. A.A. Zozulya, S.A. Diddams, A.G. Van Engen, and T.S. Clement Physical Review Letters 82 1999 1430
22. N. Aközbek, M. Scalora, C.M. Bowden, and S.L. Chin Optics Communications 191 2001 353
23. J.E. Rothenberg Optics Letters 17 1992 1340
24. J.K. Ranka, and A.L. Gaeta Optics Letters 23 1998 534
25. E.M. Belenov, and A.V. Nazarkin JETP Letters 51 1990 288
26. A.I. Maimistov, and S.O. Elytin Journal of Modern Optics 39 1992 2201
27. A.E. Kaplan, and P.L. Shkolnikov Physical Review Letters 75 1995 2316
28. M.A. Porras Physical Review A 60 1999 5069
29. S.V. Sazonov JETP 92 2001 361
30. A.I. Maimistov Optics and Spectroscopy 76 1994 569
31. I.V. Mel'nikov, D. Mihalache, F. Moldoveanu, and N.C. Panoiu Physical Review A 56 1997 1569
32. I.V. Mel'nikov, D. Mihalache, F. Moldoveanu, and N.C. Panoiu JETP Letters 65 1997 393
33. I.V. Mel'nikov, D. Mihalache, and N.C. Panoiu Optics Communications 181 2000 345
34. H. Leblond, and F. Sanchez Physical Review A 67 2003 013804
35. I.V. Mel'nikov, H. Leblond, F. Sanchez, and D. Mihalache IEEE Journal of Selected Topics in Quantum Electronics 10 2004 870
36. H. Leblond, F. Sanchez, I.V. Mel'nikov, and D. Mihalache Mathematics and Computers in Simulation 69 2005 378
37. H. Leblond, S.V. Sazonov, I.V. Mel'nikov, D. Mihalache, and F. Sanchez Physical Review A 74 2006 063815
38. H. Leblond, I.V. Mel'nikov, and D. Mihalache Physical Review A 78 2008 043802
39. H. Leblond, and D. Mihalache Physical Review A 79 2009 063835
40. H. Leblond, and D. Mihalache Journal of Optoelectronics and Advanced Materials 12 2010 1
41. H. Leblond, and D. Mihalache Romanian Reports in Physics 63 2011 1254
42. S.A. Skobelev, D.V. Kartashov, and A.V. Kim Physical Review Letters 99 2007 203902
43. Sh. Amiranashvili, A.G. Vladimirov, and U. Bandelow Physical Review A 77 2008 063821
44. R.K. Dodd, J.C. Eilbeck, J.D. Gibbon, and H.C. Morris Solitons and Nonlinear Wave Equations 1982 Academic London
45. M.J. Ablowitz, and H. Segur Solitons and the Inverse Scattering Transform 1981 SIAM Philadelphia
46. K. Konno, W. Kameyama, and H. Sanuki Journal of the Physical Society of Japan 37 1974 171
47. A.M. Kosevich, and A.S. Kovalev Solid State Communications 12 1973 763
48. E.V. Kazantseva, and A.I. Maimistov Physics Letters A 263 1999 434
49. E.V. Kazantseva, and A.I. Maimistov Quantum Electronics 30 2000 623
50. E.V. Kazantseva, A.I. Maimistov, and B.A. Malomed Optics Communications 188 2001 195
51. H. Leblond Physical Review A 78 2008 013807
52. L. Bergé, and S. Skupin Physical Review Letters 100 2008 113902
53. H. Leblond, D. Kremer, and D. Mihalache Physical Review A 80 2009 053812
54. H. Leblond, D. Kremer, and D. Mihalache Physical Review A 81 2010 033824
55. H. Leblond, and D. Mihalache Physical Review A 81 2010 063815
56. N.N. Rosanov, V.V. Kozlov, and S. Wabnitz Physical Review A 81 2010 043815
57. H. Leblond, and D. Mihalache Journal of Physics A: Mathematical and Theoretical 43 2010 375205
58. V.V. Kozlov, N.N. Rosanov, C. De Angelis, and S. Wabnitz Physical Review A 84 2011 023818
59. A. Pusch, J.M. Hamm, and O. Hess Physical Review A 84 2011 023827
60. E.D. Farnum, and J.N. Kutz Optics Letters 35 2010 3033
61. A.V. Kim, and S.A. Skobolev Physical Review A 83 2011 063832
62. H. Leblond, H. Triki, F. Sanchez, and D. Mihalache Physical Review A 83 2011 063802
63. H. Leblond, H. Triki, F. Sanchez, and D. Mihalache Optics Communications 285 2012 356
64. H. Leblond, H. Triki, and D. Mihalache Physical Review A 84 2011 023833
65. H. Leblond Journal of Physics B: Molecular and Optical Physics 41 2008 043001
66. R.W. Boyd Nonlinear Optics Third edition 2007 Academic San Diego
67. H. Leblond Journal of Physics A: Mathematical and General 34 2001 3109
68. Y.S. Kivshar Optics Letters 16 1991 892
69. M. Wadati Journal of the Physical Society of Japan 34 1973 1289
70. R. Hirota Lecture Notes in Mathematics vol. 515 1976 Springer Berlin 40
71. S.M. Cox, and P.C. Matthews Journal of Computational Physics 176 2002 430