The effects of cubic potentials on discrete breathers in a mixed Klein－Gordon /Fermi－Pasta－Ulam chain

doi:10.1088/1674-1056/19/6/066301

Abstract Nonlinearity has a crucial impact on the symmetry properties of dynamical systems. This paper studies a one-dimensional mixed Klein--Gordon/Fermi--Pasta--Ulam diatomic chain using the expanded rotating plane-wave approximation and numerical calculations to determine the effect of cubic potentials on the symmetry properties of discrete breathers in this system. The results will be very useful to researchers in the field of numerical calculations on discrete breathers.

Keywords: one-dimensional mixed Klein--Gordon/Fermi--Pasta--Ulam diatomic chain discrete breathers expanded rotating plane wave approximation symmetry

Received: 20 May 2009
Accepted manuscript online:

PACS:	31.10.+z	(Theory of electronic structure, electronic transitions, and chemical binding)
	31.15.-p	(Calculations and mathematical techniques in atomic and molecular physics)

Fund: Project supported by the National Natural Science Foundation of China (Grant No.~10574011) and the Foundation for Innovative Research Groups Foundation of Beijing Normal University.

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Zhou Qian(周倩), LÜ Bin-Bin(吕彬彬), and Tian Qiang(田强) The effects of cubic potentials on discrete breathers in a mixed Klein－Gordon /Fermi－Pasta－Ulam chain 2010 Chin. Phys. B 19 066301

[1]	Flach S and Gorbach A V 2008 Phys. Rep . 467 1
[2]	Flach S and Willis C R 1998 Phys. Rep . 295 182
[3]	Joyeux M, Grebenshchikov S Y, Bredenbeck J, Schinke R and Farantos S C 2005 Adv. Chem. Phys . 130 267
[4]	English L Q, Sato M and Sievers A J 2001 J. Appl. Phys . 89 6707
[5]	Binder P, Abraimov D, Ustinov A V, Flach S and Zolotaryuk Y 2000 Phys. Rev. Lett . 84 745
[6]	Anker Th, Albiez M, Gati R, Hunsmann S, Trombettoni A and Oberthaler M K 2005 Phys. Rev. Lett. 94 020403
[7]	Wang S E and Yang D S 2006 Commun. Theor. Phys. 46 233
[8]	Xie A, van der Meer L, Hoff W and Austin R H 2000 Phys. Rev. Lett. 84 5435
[9]	Tsironis G P and Aubry S 1996 Phys. Rev. Lett . 77 5225
[10]	Aubry S 2006 Physica D 216 1
[11]	Flach S 2004 Energy Localization and Transfer (Singapore: World Scientific)
[12]	Johansson M 2006 Physica D 216 62
[13]	Franchini A, Bortolani V and Wallis R F 2002 J. Phys.: Condens. Matter 14 145
[14]	Zhou Q, L\"u B B and Tian Q 2009 Acta Phys. Sin . 58 412 (in Chinese)
[15]	Maniadis P, Zolotaryuk A V and Tsironis G P 2003 Phys. Rev . E 67 046612
[16]	Flach S 1994 Phys. Rev . E 50 3134
[17]	Li M S and Tian Q 2007 Acta Phys. Sin . 56 1041 (in Chinese)
[18]	Xu Q and Tian Q 2009 Chin. Phys . B 18 2469

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The effects of cubic potentials on discrete breathers in a mixed Klein－Gordon /Fermi－Pasta－Ulam chain

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