Interaction of Solitary Pulses in Active dispersive-dissipative Media

Üksikimpulsside interaktsioon aktiivsetes dispergeeruvates ja dissipeeruvates keskkondades

Dmitri Tseluiko ； Sergey Saprykin ； Serafim Kalliadasis

《Proceedings of the Estonian Academy of Sciences》 59卷2期 (2010/06) Pp. 139-144

摘要

無資料

關鍵字

dissipative solitons ； solitary-pulse interaction ； bound states ； generalized Kuramoto-Sivashinsky equation

並列摘要

We examine weak interaction and formation of bound states of pulses for the generalized Kuramoto-Sivashinsky (gKS) equation, which is one of the simplest prototypes describing active media with energy supply, dissipation, dispersion, and nonlinearity. We derive a system of ordinary differential equations describing the leading-order dynamics of the pulses of the gKS equation and prove a criterion for the existence of a countable infinite or finite number of bound states. Our theory is corroborated by computations of the full equation.