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Volume 3, Issue 3, June 2014, Page: 70-77
On Expressive Construction of Solitons from Physiological Wave Phenomena
Nzerem Francis Egenti, Department of Mathematics & Statistics, University of Port Harcourt, Nigeria
Received: May 29, 2014;       Accepted: Jun. 30, 2014;       Published: Jul. 20, 2014
DOI: 10.11648/j.pamj.20140303.13      View  2797      Downloads  176
Physiological waves, much like the waves of some other physical phenomena, consist of non-linear and dispersive terms. In studies involving patho-physiology, models on arterial pulse waves indicate that the waveforms behave like solitons. The Korteweg-deVrie (KdV) equation, which is known to admit soliton solutions, is seen to hold well for arterial pulse waves. The foregoing underpins the need for detailed knowledge of the construction of solitons. In the light of this, plane wave solution would fail to yield the desired goal, let alone where arterial pulse waves are physiological waves that decompose into a travelling wave representing fast transmission phenomena during systolic phase and a windkessel term representing slow transmission phenomena during diastolic phase. This paper elucidates the construction of the solitons that arise from the so called KdV equation. The goal is to enhance an authentic analysis of soliton-based clinical details.
Mathematical, Bilinear, Asymptotic Expansion, Pulse Wave, Systolic and Diastolic
To cite this article
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