Nonlinear PI-symmetric plaquettes

Journal of Physics A: Mathematical and Theoretical

Volumn 45, Issue 44, 2012, Pages

  Li, Kai ^a   Kevrekidis, P G ^a   Malomed, Boris A ^b   Günther, Uwe ^c  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

^b TEL AVIV UNIVERSITY   (Israel)

^c INSTITUTE OF ION BEAM PHYSICS AND MATERIALS RESEARCH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84868029963     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/45/44/444021     Document Type: Article

References (62)

1. Bender C M and Boettcher S 1998 Phys. Rev. Lett. 80 5243
2. Bender C M, Boettcher S and Meisinger P N 1999 J. Math. Phys. 40 2201
3. Musslimani Z H, Makris K G, El-Ganainy R and Christodoulides D N 2008 Phys. Rev. Lett. 100 030402
4. Makris K G, El-Ganainy R, Christodoulides D N and Musslimani Z H 2010 Phys. Rev. A 81 063807
5. Klaiman S, Günther U and Moiseyev N 2008 Phys. Rev. Lett. 101 080402
6. Guo A, Salamo G J, Duchesne D, Morandotti R, Volatier-Ravat M, Aimez V, Siviloglou G A and Christodoulides D N 2009 Phys. Rev. Lett. 103 093902
7. Rüter C E, Makris K G, El-Ganainy R, Christodoulides D N, Segev M and Kip D 2010 Nature Phys. 6 192
8. Driben R and Malomed B A 2011 Opt. Lett. 36 4323
9. Malomed B A and Winful H G 1996 Phys. Rev. E 53 5365
10. Sakaguchi H and Malomed B A 2000 Physica D 147 273
11. Firth W J and Paulau P V 2010 Eur. Phys. J. D 59 13
12. Paulau P V, Gomila D, Colet P, Loiko N A, Rosanov N N, Ackemann T and Firth W J 2010 Opt. Express 18 8859
13. Marini A, Skryabin D V and Malomed B A 2011 Opt. Express 19 6616
14. Paulau P V, Gomila D, Colet P, Malomed B A and Firth W J 2011 Phys. Rev. E 84 036213
15. Atai J and Malomed B A 1996 Phys. Rev. E 54 4371
16. Malomed B A 2007 Chaos 17 037117
17. Schindler J, Li A, Zheng M C, Ellis F M and Kottos T 2011 Phys. Rev. A 84 040101
18. Ramezani H, Schindler J, Ellis F M, Günther U and Kottos T 2012 Phys. Rev. A 85 062122
19. Bittner S, Dietz B, Günther U, Harney H L, Miski-Oglu M, Richter A and Schäfer F 2012 Phys. Rev. Lett. 108 024101
20. Cartarius H and Wunner G 2012 Phys. Rev. A 86 013612 (arXiv:1203.1885)
21. Li K and Kevrekidis P G 2011 Phys. Rev. E 83 066608
22. Ramezani H, Kottos T, El-Ganainy R and Christodoulides D N 2010 Phys. Rev. A 82 043803
23. Sukhorukov A A, Xu Z and Kivshar Yu S 2010 Phys. Rev. A 82 043818
24. Zheng M C, Christodoulides D N, Fleischmann R and Kottos T 2010 Phys. Rev. A 82 010103
25. Graefe E M, Korsch H J and Niederle A E 2008 Phys. Rev. Lett. 101 150408
26. Graefe E M, Korsch H J and Niederle A E 2010 Phys. Rev. A 82 013629
27. Lin Z, Ramezani H, Eichelkraut T, Kottos T, Cao H and Christodoulides D N 2011 Phys. Rev. Lett. 106 213901
28. Dmitriev S V, Suchkov S V, Sukhorukov A A and Kivshar Yu S 2011 Phys. Rev. A 84 013833
29. Suchkov S V, Malomed B A, Dmitriev S V and Kivshar Yu S 2011 Phys. Rev. E 84 046609
30. Suchkov S V, Dmitriev S V, Malomed B A and Kivshar Y S 2012 Phys. Rev. A 85 033835
31. Miroshnichenko A E, Malomed B A and Kivshar Yu S 2011 Phys. Rev. A 84 012123
32. Abdullaev F Kh, Kartashov Y V, Konotop V V and Zezyulin D A 2011 Phys. Rev. A 83 041805
33. Zezyulin D A, Kartashov Y V and Konotop V V 2011 Europhys. Lett. 96 64003
34. He Y, Zhu X, Mihalache D, Liu J and Chen Z 2012 Phys. Rev. A 85 013831
35. Nixon S, Ge L and Yang J 2012 Phys. Rev. A 85 023822
36. Lederer F, Stegeman G I, Christodoulides D N, Assanto G, Segev M and Silberberg Y 2008 Phys. Rep. 463 1
37. Kevrekidis P G 2009 The discrete nonlinear Schrödinger equation: Mathematical Analysis, Numerical Computations and Physical Perspectives (Heidelberg: Springer)
38. Malomed B A and Kevrekidis P G 2001 Phys. Rev. E 64 026601
39. Pelinovsky D E, Kevrekidis P G and Frantzeskakis D J 2005 Physica D 212 1
40. Fleischer J W, Bartal G, Cohen O, Manela O, Segev M, Hudock J and Christodoulides D N 2004 Phys. Rev. Lett. 92 123904
41. Neshev D N, Alexander T J, Ostrovskaya E A, Kivshar Yu S, Martin H, Makasyuk I and Chen Z 2004 Phys. Rev. Lett. 92 123903
42. Zezyulin D A and Konotop V V 2012 Phys. Rev. Lett. 108 213906
43. Graefe E M 2012 J. Phys. A: Math. Theor. 45 444015
44. Arnold V I 1976 Commun. Pure Appl. Math. 29 557
45. Moser J 1976 Commun. Pure Appl. Math. 29 727
46. Golubitsky M and Stewart I 1985 Arch. Ration. Mech. Anal. 87 107
47. Elphick C, Tirapegui E, Brachet M E, Coullet P and Iooss G 1987 Physica D 29 95
48. Montaldi J, Roberts M and Stewart I 1990 Nonlinearity 3 695
49. Chechin G M and Sakhnenko V P 1998 Physica D 117 43
50. Ferrando A, Zacarés M, Andrees P, de Cordoba P Fernandez and Monsoriu J A 2005 Opt. Express 13 1073
51. Zacarés M, Arevalillo-Herraez M and Abraham S 2010 Comput. Phys. Commun. 181 35
52. Wigner E 1959 Group Theory and Its Application to Quantum Mechanics of Atomic Spectra (New York: Academic)
53. Arnold V I 1972 Russ. Math. Surv. 26 29
54. Günther U and Stefani F 2005 Czech. J. Phys. 55 1099-106 (arXiv:math-ph/0506021)
55. Heiss W D 2008 J. Phys. A: Math. Theor. 41 244010
56. Graefe E M, Günther U, Korsch H J and Niederle A E 2008 J. Phys. A: Math. Theor. 41 255206
57. Demange G and Graefe E M 2012 J. Phys. A: Math. Theor. 45 025303
58. Znojil M 2004 Rend. Circ. Mat. Palermo, Ser. II Suppl. 72 211-8 (arXiv:math-ph/0104012)
59. Japaridze G S 2002 J. Phys. A: Math. Gen. 35 1709-18 (arXiv:quant-ph/ 0104077)
60. Mostafazadeh A 2002 J. Math. Phys. 43 205-14 (arXiv:math-ph/0107001)
61. Bender C M, Brody D C and Jones H F 2002 Phys. Rev. Lett. 89 270401 (arXiv:quant-ph/0208076)
62. Malomed B A 1987 Physica D 29 155