کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1900495 | 1534279 | 2015 | 22 صفحه PDF | دانلود رایگان |
• A novel hybrid scheme for the Benjamin equation is constructed.
• Accuracy and stability properties are shown.
• Evolution properties are validated with solitary wave simulations.
• Collisions and stability properties of solitary waves are studied.
In this paper we consider the Benjamin equation, a partial differential equation that models one-way propagation of long internal waves of small amplitude along the interface of two fluid layers under the effects of gravity and surface tension. We solve the periodic initial-value problem for the Benjamin equation numerically by a new fully discrete hybrid finite-element/spectral scheme, which we first validate by pinning down its accuracy and stability properties. After testing the evolution properties of the scheme in a study of propagation of single- and multi-pulse solitary waves of the Benjamin equation, we use it in an exploratory mode to illuminate phenomena such as overtaking collisions of solitary waves, and the stability of single-pulse, multi-pulse and ‘depression’ solitary waves.
Journal: Wave Motion - Volume 52, January 2015, Pages 194–215