TRIS Online Record

Title	ON PERIODIC AND SOLITARY WAVELIKE SOLUTIONS OF THE INTERMEDIATE LONG-WAVE EQUATION
Accession No	00697303
Authors	Miloh, T
Publication Date	19900000
Languages	English
Abstract	The intermediate long-wave (ILW) equation is a weakly nonlinear integro-differential equation which governs the evolution of long internal waves in a stratified fluid of finite depth. It reduces to the Korteweg-de Vries (KdV) and to the Benjamin-Ono (BO) equations for shallow and large depths respectively. Solitary wave solutions of the ILW equation are well known, however analytic expressions for periodic solutions of the same equation do not seem to exist. Such expressions are derived in this paper and a remarkable property discovered for these periodic waves is that they can be represented as an infinite sum of spatially repeated solitons. Thus, nonlinear periodic solutions of the ILW equations are obtained by linear superposition of solitons.
Supplemental Information	J. Fluid Mechanics, 211 (1990) p.617 (Feb.) [11 p., 40 ref.]
TRT Terms	Wave motion
Other Terms	Wave propagation
Document Source	British Maritime Technology Source Data: 90033661
TRIS Files	MRIS
Database	TRIS Online

TRIS is a bibliographic database funded by sponsors of the Transportation Research Board (TRB), primarily the state departments of transportation and selected federal transportation agencies. TRIS Online is hosted by the National Transportation Library under a cooperative agreement between the Bureau of Transportation Statistics and TRB.