Moving discrete breathers in a Klein--Gordon chain with an impurity

Details Moving discrete breathers in a Klein--Gordon chain with an impurity Moving discrete breathers in a Klein--Gordon chain with an impurity

2002-03-13

arxiv.org/abs/nlin/0203026v1

J. Phys A: Math. Gen. 35 (2002) 10519

Nonlinear Sciences

Pattern Formation and Solitons

6 pages, 6 figures

Scientific paper

10.1088/0305-4470/35/49/302

We analyze the influence of an impurity in the movement of discrete breathers in Klein--Gordon chains. We observe that the moving breather can cross the impurity, can be reflected by it, or can be trapped originating a quasi-periodic breather. We find that resonance with a nonlinear localised mode centred in the impurity is a necessary condition in order to observe the trapping phenomenon, as a difference with the resonance condition with a linear localised mode when this problem is studied within the Nonlinear Schr\"{o}dinger Equation approximation.

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