Isaac Scientific Publishing

Theoretical Physics

Modified Equation of Impulse for Solitons in an Open Water Channel

Download PDF (345.4 KB) PP. 1 - 7 Pub. Date: March 31, 2021

DOI: 10.22606/tp.2021.61001

Author(s)

  • A. N. Volobuev*
    Department of Medical Physics, The Samara State Medical University, Samara, Russia

Abstract

On the basis of the certain form of write of an impulse equation the modeling of the solitary waves in the water channel is examined at action of gravitation forces. It is shown that as against an existing method of modelling where the waves propagating from left to right turn out from the equation of an impulse, and from right to left from the continuity equation in the offered technique both waves turn out from the equation of impulse. It is marked that the given method is physically more correct. Calculation of a solitary wave, its velocity and geometrical characteristics is submitted.

Keywords

the rectangular channel, a solitary wave, equation of impulse, KdV - equation

References

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[4] B.M. Budak, A.A. Samarski, A.N. Tikhonov. Collection of Tasks on Mathematical Physics. Moscow. Science. 1980. Pp. 14, 160.

[5] A.N. Volobuev. Nonlinear Features of a Fluid Flow in an Elastic Pipeline. Mathematical Models and Computer Simulations, 2020, Vol. 12, No. 1, pp. 53-59.

[6] A.N. Volobuev. Basis of Nonsymmetrical Hydromechanics. New York, Nova Science Publishers, Inc. 2012. 198 p.