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Based on the division Fourier algorithm and the rapid virtual time evolution (AITEM) iterative method, the transmission characteristics of bullet in linear and nonlinear scattering out of phase modulation Kummer-Gauss optical lattice are studied. The results show that the linear and nonlinear phase modulation significantly change the bullet shape and its range of stability, and the nonlinear modulation depth through the propagation constant controls the stability region width. It is shown that stable space-time soliton energy will grow with nonlinear modulation depth strengthening.
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Keywords:
- time-space soliton /
- the Kummer-Gauss lattice /
- rapid virtual time evolution iterative method
[1] Silberberg Y 1990 Opt. Lett. 15 1282
[2] Malomed B A, Mihalache D, Wise F, Torner L 2005 J. Opt. B 7 53R
[3] Xu S L, Belić M R, Zhang W P 2012 J. Opt. Soc. Am. B 29 1
[4] Wu Z, Wang Q, Wei Q 2001 Acta Phys. Sin. 50 489 (in Chinese) [吴中, 王奇, 卫青 2001 50 48]
[5] He G G, Wang X S, She W L 2002 Acta Phys. Sin. 51 2270 (in Chinese) [何国岗, 王晓生, 佘卫龙2002 51 2270]
[6] Liu J S, Hao Z H 2002 Acta Phys. Sin. 51 2772 (in Chinese) [刘劲松, 郝中华2002 51 2772]
[7] Edmundson D E, Enns R H 1992 Opt. Lett. 17 586
[8] Desyatnikov A, Maimistov A, Malomed B 2000 Phys. Rev. E 61 3107
[9] Mihalache D, Mazilu D, Crasovan L C, Towers I, Buryak A V, Malomed B A, Torner L, Torres J P, Lederer F 2002 Phys. Rev. Lett. 88 073902
[10] Trapani P D, Caironi D, Valiulis G, Dubietis A, Danielius R, Piskarskas A 1998 Phys. Rev. Lett. 81 570
[11] Liu X, Qian L J, Wise F W 1999 Phys. Rev. Lett. 82 4361
[12] Bang O, Krolikowski W, Wyller J, Rasmussen J J 2002 Phys. Rev. E 66 046619
[13] Mihalache D, Mazilu D, Lederer F, Malomed B A, Kartashov Y V, Crasovan L C, Torner L 2006 Phys. Rev. E 73 025601(R)
[14] Xu S L, Liu H P, Yi L 2010 Acta Phys. Sin. 59 1069 (in Chinese) [徐四六, 刘会平, 易林 2010 59 1069]
[15] Torner L, Carrasco S, Torres J P, Crasovan L C, Mihalache D 2001 Opt. Commun. 199 277
[16] Torner L, Kartashov Y V 2009 Opt. Lett. 34 1129
[17] Aceves A B, Angelis C D 1993 Opt. Lett. 18 110
[18] Aceves A B, Angelis C D, Rubenchik A M, Turitsyn S K 1994 Opt. Lett. 19 329
[19] Aceves A B, Luther G G, Angelis C D, Rubenchik A M, Turitsyn S K, 1995 Phys. Rev. Lett. 75 73
[20] Baizakov B B, Malomed B A, Salerno M 2004 Phys. Rev. A 70 053613
[21] Mihalache D, Mazilu D, Lederer F, Kartashov Y V, Crasovan L C, Torner L 2004 Phys. Rev. E 70 055603
[22] Mihalache D, Mazilu D, Lederer F, Malomed B A, Kartashov Y V, Crasovan L C, Torner L 2005 Phys. Rev. Lett. 95 023902
[23] Lina T C, Weic J, Yao W 2010 J. Diff. Equ. 9 2111
[24] Kartashov Y V, Egorov A A, Vysloukh V A, Torner L 2006 Opt. Express 14 4049
[25] Yang J K, Lakoba T I 2008 Stud. Appl. Math. 3 265
[26] Ye F W, Kartashov Y V, Hu B B, Torner L 2009 Opt. Express 14 11328
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[1] Silberberg Y 1990 Opt. Lett. 15 1282
[2] Malomed B A, Mihalache D, Wise F, Torner L 2005 J. Opt. B 7 53R
[3] Xu S L, Belić M R, Zhang W P 2012 J. Opt. Soc. Am. B 29 1
[4] Wu Z, Wang Q, Wei Q 2001 Acta Phys. Sin. 50 489 (in Chinese) [吴中, 王奇, 卫青 2001 50 48]
[5] He G G, Wang X S, She W L 2002 Acta Phys. Sin. 51 2270 (in Chinese) [何国岗, 王晓生, 佘卫龙2002 51 2270]
[6] Liu J S, Hao Z H 2002 Acta Phys. Sin. 51 2772 (in Chinese) [刘劲松, 郝中华2002 51 2772]
[7] Edmundson D E, Enns R H 1992 Opt. Lett. 17 586
[8] Desyatnikov A, Maimistov A, Malomed B 2000 Phys. Rev. E 61 3107
[9] Mihalache D, Mazilu D, Crasovan L C, Towers I, Buryak A V, Malomed B A, Torner L, Torres J P, Lederer F 2002 Phys. Rev. Lett. 88 073902
[10] Trapani P D, Caironi D, Valiulis G, Dubietis A, Danielius R, Piskarskas A 1998 Phys. Rev. Lett. 81 570
[11] Liu X, Qian L J, Wise F W 1999 Phys. Rev. Lett. 82 4361
[12] Bang O, Krolikowski W, Wyller J, Rasmussen J J 2002 Phys. Rev. E 66 046619
[13] Mihalache D, Mazilu D, Lederer F, Malomed B A, Kartashov Y V, Crasovan L C, Torner L 2006 Phys. Rev. E 73 025601(R)
[14] Xu S L, Liu H P, Yi L 2010 Acta Phys. Sin. 59 1069 (in Chinese) [徐四六, 刘会平, 易林 2010 59 1069]
[15] Torner L, Carrasco S, Torres J P, Crasovan L C, Mihalache D 2001 Opt. Commun. 199 277
[16] Torner L, Kartashov Y V 2009 Opt. Lett. 34 1129
[17] Aceves A B, Angelis C D 1993 Opt. Lett. 18 110
[18] Aceves A B, Angelis C D, Rubenchik A M, Turitsyn S K 1994 Opt. Lett. 19 329
[19] Aceves A B, Luther G G, Angelis C D, Rubenchik A M, Turitsyn S K, 1995 Phys. Rev. Lett. 75 73
[20] Baizakov B B, Malomed B A, Salerno M 2004 Phys. Rev. A 70 053613
[21] Mihalache D, Mazilu D, Lederer F, Kartashov Y V, Crasovan L C, Torner L 2004 Phys. Rev. E 70 055603
[22] Mihalache D, Mazilu D, Lederer F, Malomed B A, Kartashov Y V, Crasovan L C, Torner L 2005 Phys. Rev. Lett. 95 023902
[23] Lina T C, Weic J, Yao W 2010 J. Diff. Equ. 9 2111
[24] Kartashov Y V, Egorov A A, Vysloukh V A, Torner L 2006 Opt. Express 14 4049
[25] Yang J K, Lakoba T I 2008 Stud. Appl. Math. 3 265
[26] Ye F W, Kartashov Y V, Hu B B, Torner L 2009 Opt. Express 14 11328
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