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

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摘要 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.

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	XU Quan
	TIAN Qiang

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.

Key words： 05.45.Xt 02.30.Jr 63.50.Pw 63.20.Ry

收稿日期: 2008-03-11 出版日期: 2008-06-26

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

引用本文:

XU Quan;TIAN Qiang. On Some Classes of New Solutions of Continuous β-FPU Chain[J]. 中国物理快报, 2008, 25(7): 2400-2402.
XU Quan, TIAN Qiang. On Some Classes of New Solutions of Continuous β-FPU Chain. Chin. Phys. Lett., 2008, 25(7): 2400-2402.

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https://cpl.iphy.ac.cn/CN/ 或 https://cpl.iphy.ac.cn/CN/Y2008/V25/I7/2400

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