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In this paper the weakly nonlinear theory of long internal gravity waves propagating in stratified media is extended to the fully nonlinear case by treating Long's nonlinear partial differential ...
consider the steady - state solution of the paraxial wave equation in the form: (12) where R is the incident power. Placing Eq (12) into Eq (1) and linearizing, we get the form as below. (13) Take the solution ...
and simulate solitary waves that propagate in different mediums [16, 17]. To mention but a few, Korteweg-de Vries (KdV) equation is one of the most important and well-known of the equations that were used ...
for travelling wave solutions are achieved via a boundary integral equation method. Periodic waves , solitary waves and generalised solitary waves are presented. The bifurcation of generalised solitary waves ...
two types of solitary traveling wave : a traveling front linking a stable down state to a stable up state , and a traveling pulse that begins and ends at the down state , see Fig 4. In this paper, we focus ...
how well an excitable medium can sustain propagating waves of activity. For the case of a type I medium, small disturbances to the resting state produce large amplitude responses that readily propagate ...
-diffusion system (see S1 Fig). In presence of coupling (αA ≠ 0, αI ≠ 0), numerical resolution of Eqs 5 and 6 shows that the density propagates as a cohesive traveling pulse (a solitary wave ) [33, 37–39 ...
. & Barannyk , T. A. ( 2004 ) Solitary wave and other solutions for nonlinear heat equations . Cen. Euro. J. Math. , 2 , 840 – 858 . Google Scholar Crossref Search ADS WorldCat Nuccitelli , R. ( 1991 ) How do ...
-dependent inactivation gate fCa. The driving force was modeled with a Goldmann-Hodgkin-Katz equation , ignoring the permeability for the Na+ and K+ ions. The steady - state activation and inactivation curves ...
oscillations are also displayed. The same problem is solved by using the approximate equations derived from the thermoacoustic- wave equation for a case of thin or thick diffusion layer relative to a pore radius ...
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