Features of the interaction of breathers, solitons and bubbles in a nonlinear chain with transverse displacement

Abstract

Collisions of two discrete mobile breathers and interactions between a mobile breather and a bubble in a transverse chain of non-isochronous oscillators bounded by nonlinear forces are investigated. Individual breathers may collide, but a defining feature is that they pass through one another and emerge from the collision unaltered in shape, amplitude, or velocity. When two identical mobile breathers collide, it is possible, in some cases, to get stationary breather with more energy than the colliding breathers. The result of the interaction on the background of the bubble is shown to be a soliton. The mobile breather, reaching the bubble, transforms into a soliton-like wave and moves along the bubble keeping its shape. The soliton velocity is slightly higher than one of the breather front. The soliton-like excitation disappears quickly leaving the bubble.

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Evgenii Geraskin
Saratov State University
Russia

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