On Some Classes of New Solutions of Continuous β-FPU Chain

Chin. Phys. Lett.

2008, Vol. 25

Issue (7): 2400-2402 DOI:

Original Articles

On Some Classes of New Solutions of Continuous β-FPU Chain

XU Quan^1,2, TIAN Qiang²

¹Department of Physics, Daqing Normal University, Daqing 163712²Department of Physics, Beijing Normal University, Beijing 100875

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XU Quan, TIAN Qiang 2008 Chin. Phys. Lett. 25 2400-2402

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Abstract A continuous β-Fermi--Pasta--Ulam (FPU) chain is investigated by using the knowledge of elliptic equation and Jacobian elliptic functions. We obtain the new solutions, two-kink soliton solution, breather solution and breather lattice solution, of the continuous β-FPU chain, besides the kink-soliton solution and chaos solution.

Keywords: 05.45.Xt 02.30.Jr 63.50.Pw 63.20.Ry

Received: 11 March 2008 Published: 26 June 2008

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	02.30.Jr	(Partial differential equations)
	63.50.Pw
	63.20.Ry	(Anharmonic lattice modes)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2008/V25/I7/02400

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