Weak interaction of solitary pulses in active dispersive-dissipative nonlinear media

DOI10.1093/imamat/hxs064zbMath1293.35257OpenAlexW2054895697MaRDI QIDQ5418940

D. Tseluiko, Serafim Kalliadasis

Publication date: 30 May 2014

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/hxs064

zbMATH Keywords

generalized Kuramoto-Sivashinsky equationsolitary pulse interaction

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Thin fluid films (76A20) Soliton equations (35Q51)

Related Items (6)

Traveling waves for a model of gravity-driven film flows in cylindrical domains ⋮ Two-dimensional pulse dynamics and the formation of bound states on electrified falling films ⋮ Nonlinear Forecasting of the Generalized Kuramoto–Sivashinsky Equation ⋮ Pulse dynamics in a power-law falling film ⋮ Coherent Structures in Nonlocal Dispersive Active-Dissipative Systems ⋮ On the stability of traveling wave solutions to thin-film and long-wave models for film flows inside a tube

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