Wave Solution Analysis of a Nonlinear Mathematical Model on Fluid Mechanics

Year 2022, Volume: 12 Issue: 2, 162 - 176, 30.12.2022

Tolga Aktürk Volkan Çakmak

https://doi.org/10.37094/adyujsci.1114265

Abstract

This study obtains some wave solutions of the B-type Kadomtsev Petviashvili equation by applying the modified exponential function method (MEFM). Thanks to this method, the exact solutions of the non-linear partial differential equations will be obtained and there will be an opportunity to examine the physical structure of these solutions. Due to the nature of MEFM, two different cases are presented here that have been analyzed to obtain more solutions in this structure. More wave solutions can be obtained by analyzing different situations. When the resulting solutions are analyzed, hyperbolic, trigonometric, and rational functions are observed. It has been checked whether the solution functions found with Wolfram Mathematica software provide the B type Kadomtsev Petviashvili equation and graphs simulating the wave solution behavior with the determined appropriate parameters are presented.

Keywords

Modified Exponential Function Method (MEFM), B-type Kadomtsev Petviashvili Equation, Wave Solutions, Geliştirilmiş Üstel Fonksiyon Metodu (GÜFM), B tipi Kadomtsev Petviashvili, Dalga Çözümleri

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