Soliton management for a variable-coefficient modified Korteweg-de Vries equation

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

Volumn 84, Issue 2, 2011, Pages

  Sun, Zhi Yuan ^a   Gao, Yi Tian ^a   Liu, Ying ^a   Yu, Xin ^a  

^a BEIHANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ABLOWITZ-KAUP-NEWELL-SEGUR SYSTEMS; BOSE-EINSTEIN CONDENSATES; HIROTA BILINEAR METHODS; INTERFACIAL WAVES; KORTEWEG-DE VRIES EQUATIONS; LAX PAIRS; MULTISOLITON SOLUTIONS; N-WAVES; PAINLEVE; SOLITON MANAGEMENT; SYMBOLIC COMPUTATION; TIME-DEPENDENT; TWO LAYERS; VARIABLE COEFFICIENTS;

COLLISIONLESS PLASMAS; OPTICAL FIBERS; SOLITONS; STATISTICAL MECHANICS; STEAM CONDENSERS;

NONLINEAR EQUATIONS;

EID: 80051621433     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.026606     Document Type: Article

References (44)

1. N. J. Zabusky and M. D. Kruskal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.15.240 15, 240 (1965).
2. M. J. Ablowitz and P. A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering (Cambridge University Press, Cambridge, 1991).
3. B. A. Malomed, Soliton Management in Periodic Systems (Springer, New York, 2006).
4. K. Porsezian, A. Hasegawa, V. N. Serkin, T. L. Belyaeva, and P. Ganapathy, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2006.10.022 361, 504 (2007).
5. P. G. Kevrekidis, G. Theocharis, D. J. Frantzeskakis, and B. A. Malomed, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.230401 90, 230401 (2003).
6. S. Clarke, B. A. Malomed, and R. Grimshaw, Chaos CHAOEH 1054-1500 10.1063/1.1429967 12, 8 (2002).
7. C. C. Mak, K. W. Chow, and K. Nakkeeran, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.74.1449 74, 1449 (2005). (Pubitemid 40806368)
8. R. Ganapathy, K. Porsezian, and A. Hasegawa, IEEE J. Quantum Electron. IEJQA7 0018-9197 10.1109/JQE.2007.914778 44, 383 (2008);
9. K. Porsezian, R. Ganapathy, and A. Hasegawa, IEEE J. Quantum Electron. IEJQA7 0018-9197 10.1109/JQE.2009.2027819 45, 1577 (2009).
10. K. R. Helfrich, W. K. Melville, and J. W. Miles, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112084002664 149, 305 (1984).
11. H. H. Chen and C. S. Liu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.37.693 37, 693 (1976).
12. F. Calogero and A. Degasperis, Lett. Nuovo Cimento LNUCAE 0375-930X 10.1007/BF02751683 16, 425 (1976).
13. V. N. Serkin, A. Hasegawa, and T. L. Belyaeva, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.074102 98, 074102 (2007).
14. A. Kundu, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.015601 79, 015601 (2009).
15. A. V. Slyunyaev, J. Exp. Theor. Phys. JTPHES 1063-7761 10.1134/1.1364750 92, 529 (2001). (Pubitemid 33256536)
16. T. I. Karpman and H. Ono, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.34.1073 34, 1073 (1973).
17. S. Y. Lou and H. Y. Ruan, Acta Phys. Sin. 41, 182 (1992), in Chinese.
18. W. L. Chan and K. S. Li, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/ 27/3/028 27, 883 (1994).
19. W. L. Chan and X. Zhang, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/ 28/2/016 28, 407 (1995).
20. Z. Y. Yan, Commun. Nonlin. Sci. Numer. Simulat. JPHAC5 1007-5704 10.1016/S1007-5704(99)90043-6 4, 284 (1999).
21. C. Q. Dai, J. M. Zhu, and J. F. Zhang, Chaos Soliton Fract. CSFOEH 0960-0779 10.1016/j.chaos.2005.04.072 27, 881 (2006). (Pubitemid 41252916)
22. S. Zhang and T. C. Xia, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2007.10.044 372, 1741 (2008).
23. Q. Feng, Y. T. Gao, X. H. Meng, X. Yu, Z. Y. Sun, T. Xu, and B. Tian, Int. J. Mod. Phys. B 0217-9792 10.1142/S0217979211058043 25, 723 (2011).
24. J. Weiss, M. Tabor, and G. Carnevale, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.525721 24, 522 (1983).
25. M. Jimbo, M. D. Kruskal, and T. Miwa, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(82)90291-2 92, 59 (1982).
26. M. J. Ablowitz, D. J. Kaup, A. C. Newell, and H. Segur, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.31.125 31, 125 (1973).
27. R. Hirota, The Direct Method in Soliton Theory (Cambridge University Press, Cambridge, 2004).
28. X. G. He, D. Zhao, L. Li, and H. G. Luo, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.056610 79, 056610 (2009).
29. M. P. Barnett, J. F. Capitani, J. Von Zur Gathen, and J. Gerhard, Int. J. Quantum Chem. IJQCB2 0020-7608 10.1002/qua.20097 100, 80 (2004);
30. B. Tian and Y. T. Gao, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2006.10.094 362, 283 (2007);
31. X. Yu, Y. T. Gao, Z. Y. Sun, and Y. Liu, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.056601 83, 056601 (2011).
32. G. Das and J. Sarma, Phys. Plasmas PHPAEN 1070-664X 10.1063/1.873705 6, 4394 (1999);
33. Y. T. Gao and B. Tian, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/77/15001 77, 15001 (2007);
34. Y. Liu, Y. T. Gao, T. Xu, X. Lü, Z. Y. Sun, X. H. Meng, X. Yu, and X. L. Gai, Z. Naturforsch. A 65, 291 (2010).
35. K. W. Chow, Wave Motion WAMOD9 0165-2125 10.1016/S0165-2125(01)00078-6 35, 71 (2002); (Pubitemid 33122625)
36. K. W. Chow, R. H. Grimshaw, and E. Ding, Wave Motion WAMOD9 0165-2125 10.1016/j.wavemoti.2005.09.005 43, 158 (2005); (Pubitemid 41700294)
37. Z. Y. Sun, Y. T. Gao, X. Yu, X. H. Meng, and Y. Liu, Wave Motion 0165-2125 10.1016/j.wavemoti.2009.06.014 46, 511 (2009).
38. R. Atre, P. K. Panigrahi, and G. S. Agarwal, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.056611 73, 056611 (2006). (Pubitemid 43764051)
39. M. Karlsson, D. J. Kaup, and B. A. Malomed, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.54.5802 54, 5802 (1996).
40. K. G. Lamb, O. Polukhina, T. Talipova, E. Pelinovsky, W. Xiao, and A. Kurkin, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.046306 75, 046306 (2007); (Pubitemid 46641512)
41. Z. Y. Sun, Y. T. Gao, X. Yu, W. J. Liu, and Y. Liu, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.066608 80, 066608 (2009);
42. Z. Y. Sun, Y. T. Gao, X. Yu, and Y. Liu, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/93/40004 93, 40004 (2011).
43. R. J. Small and R. P. Hornby, Ocean Model. EULEEJ 1463-5003 10.1016/j.ocemod.2004.02.002 8, 395 (2005). (Pubitemid 40234101)
44. P. E. Holloway, E. Pelinovsky, T. Talipova, and B. Barnes, J. Phys. Oceanogr. JPYOBT 0022-3670 10.1175/1520-0485(1997)027<0871:ANMOIT>2.0.CO;2 27, 871 (1997).