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Jiang, YG; Liu, JZ; He, S; Jiang, YG (reprint author), Shandong Univ Weihai, Sch Space Sci & Phys, Weihai 264209, Peoples R China.; Jiang, YG (reprint author), Shandong Univ, Shandong Prov Key Lab Opt Astron & Solar Terr Env, Inst Space Sci, Weihai 264209, Peoples R China.
Near integrability of kink lattice with higher order interactions
Source PublicationCHINESE PHYSICS C
Language英语
KeywordIntegrable System Soliton Toda Lattice
AbstractWe make use of Manton's analytical method to investigate the force between kinks and anti-kinks at large distances in 1+1 dimensional field theory. The related potential has infinite order corrections of exponential pattern, and the coefficients for each order are determined. These coefficients can also be obtained by solving the equation of the fluctuations around the vacuum. At the lowest order, the kink lattice represents the Toda lattice. With higher order correction terms, the kink lattice can represent one kind of generic Toda lattice. With only two sites, the kink lattice is classically integrable. If the number of sites of the lattice is larger than two, the kink lattice is not integrable but is a near integrable system. We make use of Flaschka's variables to study the Lax pair of the kink lattice. These Flaschka's variables have interesting algebraic relations and non-integrability can be manifested. We also discuss the higher Hamiltonians for the deformed open Toda lattice, which has a similar result to the ordinary deformed Toda.
2017
Volume41Issue:11Pages:113107
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1088/1674-1137/41/11/113107
Funding OrganizationShandong Provincial Natural Science Foundation [ZR2014AQ007] ; Shandong Provincial Natural Science Foundation [ZR2014AQ007] ; Shandong Provincial Natural Science Foundation [ZR2014AQ007] ; Shandong Provincial Natural Science Foundation [ZR2014AQ007] ; National Natural Science Foundation of China [11403015, U1531105, 11305235] ; National Natural Science Foundation of China [11403015, U1531105, 11305235] ; National Natural Science Foundation of China [11403015, U1531105, 11305235] ; National Natural Science Foundation of China [11403015, U1531105, 11305235] ; Max-Planck fellowship in Germany ; Max-Planck fellowship in Germany ; Max-Planck fellowship in Germany ; Max-Planck fellowship in Germany
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/21940
CollectionSCI期刊论文
Corresponding AuthorJiang, YG (reprint author), Shandong Univ Weihai, Sch Space Sci & Phys, Weihai 264209, Peoples R China.; Jiang, YG (reprint author), Shandong Univ, Shandong Prov Key Lab Opt Astron & Solar Terr Env, Inst Space Sci, Weihai 264209, Peoples R China.
Recommended Citation
GB/T 7714
Jiang, YG,Liu, JZ,He, S,et al. Near integrability of kink lattice with higher order interactions[J]. CHINESE PHYSICS C,2017,41(11):113107.
APA Jiang, YG,Liu, JZ,He, S,Jiang, YG ,&Jiang, YG .(2017).Near integrability of kink lattice with higher order interactions.CHINESE PHYSICS C,41(11),113107.
MLA Jiang, YG,et al."Near integrability of kink lattice with higher order interactions".CHINESE PHYSICS C 41.11(2017):113107.
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