INTERNAL DEGREES OF FREEDOM IN PERTURBED NONLINEAR KLEIN-GORDON EQUATIONS

被引：0

作者：

Vazquez, L. ^{[1
]}

Jimenez, S. ^{[2
]}

Bellorin, A. ^{[3
]}

Guerrero, L. E. ^{[4
]}

Gonzalez, J. A. ^{[2
]}

机构：

[1] Univ Complutense Madrid, Fac Informat, Dept Matemat Aplicada, E-28040 Madrid, Spain

[2] Univ Complutense Madrid, ETSI Telecomunicac, Dept Matemat Aplicada TT 2, E-28040 Madrid, Spain

[3] Univ Cent Venezuela, Fac Ciencias, Escuela Fis, Caracas 1041 A, Venezuela

[4] Univ Simon Bolivar, Dept Fis, Caracas 1080 A, Venezuela

来源：

DIFFERENTIAL EQUATIONS & APPLICATIONS | 2011年 / 3卷 / 04期

关键词：

solitons; long-range interactions; power-law behaviors;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the kink solutions to the generalized nonlinear Klein-Gordon equation in the presence of inhomogeneous forces and nonlocal operators. We have found that the number of kink internal modes can depend on the asymptotic behavior of the kink solution for large values of |x|. A list of mechanisms that are capable to create new kink internal modes would contain some of the following items: inhomogeneous perturbations that generate unstable equilibrium positions for the kink, extended de-localized space-dependent perturbations, external perturbations that do not decay exponentially, and nonlocal operators.

引用

页码：527 / 553

页数：27

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