Forced Waves Near Resonance at a Phase-Speed Minimum

• Published in: Studies in applied mathematics (Cambridge) Vol. 123; no. 1; pp. 1 - 15
• Main Authors: Cho, Yeunwoo, Akylas, T. R.
• Format: Journal Article
• Language: English
• Published: Malden, USA Blackwell Publishing Inc 01.07.2009; Blackwell Publishing Ltd
• Subjects: Damping; Disturbances; Mathematical analysis; Mathematical models; Nonlinearity; Phase velocity; Solitary waves; Studies; Surface waves; Wavenumber

When a dispersive wave system is subject to forcing by a moving external disturbance, a maximum or minimum of the phase speed is associated with a critical forcing speed at which the linear response is resonant. Nonlinear effects can play an important part near such resonances, and the salient chara...