43,909 research outputs found
Three-dimensional Curve Motions Induced by the Modified Korteweg-de Vries Equation
We have constructed one-phase quasi-periodic solutions of the curve equation
induced by the mKdV equation. The solution is expressed in terms of the
elliptic functions of Weierstrass. This solution can describe curve dynamics
such as a vortex filament with axial velocity embedded in an incompressible
inviscid fluid. There exist two types of curves (type-A, type-B) according to
the form of the main spectra of the finite-band integrated solution. Our
solution includes various filament shapes such as the Kelvin-type wave, the
rigid vortex, plane curves, closed curves, and the Hasimoto one-solitonic
filament.Comment: 26 pages, 4 figure
Sine-Gordon Soliton on a Cnoidal Wave Background
The method of Darboux transformation, which is applied on cnoidal wave
solutions of the sine-Gordon equation, gives solitons moving on a cnoidal wave
background. Interesting characteristics of the solution, i.e., the velocity of
solitons and the shift of crests of cnoidal waves along a soliton, are
calculated. Solutions are classified into three types (Type-1A, Type-1B,
Type-2) according to their apparent distinct properties.Comment: 11 pages, 5 figures, Contents change
Experimental studies on the tripping behavior of narrow T-stiffened flat plates subjected to hydrostatic pressure and underwater shock
An experimental investigation was conducted to determine the static and dynamic responses of a specific stiffened flat plate design. The air-backed rectangular flat plates of 6061-T6 aluminum with an externally machined longitudinal narrow-flanged T-stiffener and clamped boundary conditions were subjected to static loading by water hydropump pressure and shock loading from an eight pound TNT charge detonated underwater. The dynamic test plate was instrumented to measure transient strains and free field pressure. The static test plate was instrumented to measure transient strains, plate deflection, and pressure. Emphasis was placed upon forcing static and dynamic stiffener tripping, obtaining relevant strain and pressure data, and studying the associated plate-stiffener behavior
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