Full Article: PDF
Scientific Object Identifier: http://s-o-i.org/1.1/TAS-05-85-74
DOI: https://dx.doi.org/10.15863/TAS.2020.05.85.74
Language: Russian
Citation: Abdirashidov, A., & Abdurashidov, A. (2020). Stationary solution of some equations of long solitary waves propagating over the surface of the water over a slowly changing inclined bottom. ISJ Theoretical & Applied Science, 05 (85), 385-391. Soi: http://s-o-i.org/1.1/TAS-05-85-74 Doi: https://dx.doi.org/10.15863/TAS.2020.05.85.74 |
Pages: 385-391
Published: 30.05.2020
Abstract: In this paper, particular stationary solutions of some equations of the theory of strongly nonlinear waves are found using the modified simple equation method and the method of tanh-coth functions. The results of these methods converge faster to an exact solution for some nonlinear problems. These methods are very effective for finding exact and approximate solutions for wide classes of problems of mechanics. By creating a phase portrait of solitary stationary waves, qualitative conclusions are made about the state of nonlinear and dispersion effects when solving the problems of wave propagation on a water surface.
Key words: modified simple equation method, tanh-coth functions method, approximate solution, particular solution, surface waves, phase portrait.
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