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Model of a motion of substance in a channel of a network consisting of two arms

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arxiv 1803.05398 v1 pith:7J3R3EQV submitted 2018-02-25 nlin.AO stat.AP

Nikolay K. Vitanov , Roumen Borissov This is my paper · ORCID
classification nlin.AOstat.AP
keywords channelsubstancearmsmotionmodelnetworkobtainedtechnological
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We study the problem of the motion of substance in a channel of a network for the case of channel having two arms. Stationary regime of the flow of the substance is considered. Analytical relationships for the distribution of the substance in the nodes of the arms of the channel are obtained. The obtained results are discussed from the point of view of technological applications of the model (e.g., motion of substances such as water in complex technological facilities).

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  1. The Simple Equations Method (SEsM) and the use of exponential functions for obtaining simple and multisoliton solutions of some nonlinear partial differential equations

    nlin.SI 2019-09 conditional novelty 3.0 of 10

    A generalized ansatz method (SEsM) is shown to reproduce Hirota's KdV multisoliton solutions and to yield an exact solution of a nonintegrable fifth-order KdV-type equation.

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