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The positive parameter a refers to a dissipative effect.
This introduces a dissipative effect in velocity space and the numerical recurrence effect is strongly reduced.
The dissipative effect of the mean flow at the perforations has been considered throughout the analysis.
If the dissipative effect is negligible the KdVB equation transforms into the KdV equation which permits a soliton solution.
In this work, we study the stabilization of the string in (7a) by this negative feedback boundary control u, which provides a dissipative effect.
However, a medium having significant dissipative effect and dispersion supports the formation of shock waves instead of solitons which is best described by the Korteweg deVries Burgers (KdVB) equation.
Similar(49)
On the other hand, if the variation in nonlinearity is of the same order as dissipation in a given medium, then the nonlinear effects are balanced by dissipative effects and shock waves are formed.
The dust fluid viscosity will be responsible for dissipative effects.
The dissipative effects are realized through kinematic viscosity of dust particles in a given plasma medium.
However, when the dissipative effects are more dominant than dispersion of medium, this leads to the formation of shock structures.
The sound attenuation performance of a dissipative expansion chamber is a combinational result of reflective and dissipative effects.
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