Localized patterns and hole solutions in one-dimension extended sytem

Details Localized patterns and hole solutions in one-dimension extended sytem Localized patterns and hole solutions in one-dimension extended sytem

2005-02-18

arxiv.org/abs/nlin/0502041v1

Nonlinear Sciences

Pattern Formation and Solitons

7 pages, 3 figures

Scientific paper

10.1016/j.physa.2005.05.011

The existence, stability properties, and bifurcation diagrams of localized patterns and hole solutions in one-dimensional extended systems is studied from the point of view of front interactions. An adequate envelope equation is derived from a prototype model that exhibits these particle-type solutions. This equation allow us to obtain an analytical expression for the front interaction, which is in good agreement with numerical simulations.

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