Two-dimensional patterns of pulses appearing in a thin viscous film flow

✍ Scribed by Toshiyuki Ogawa; Chien-fon Liu

• Book ID: 104297249
• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 678 KB
• Volume: 108
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/s0167-2789(97)00063-8

✦ Synopsis

Interactions of two-dimensional solitary waves of the Benney equation are investigated by a formal asymptotic analysis: reduction to a system of ordinary differential equations (ODEs) which describes the motion of the pulse positions. After the formation of many pulses the evolution of pulse patterns can be understood by the reduced system of ODEs. Though the ODE system looks quite simplc it has non-trivial stable fixed points which correspond to the stationary patterns of the Benney equation.