Bu çalışmada, modifiye edilmiş üstel fonksiyon metodu uygulanarak B tipi Kadomtsev Petviashvili denkleminin bazı dalga çözümleri elde edilmiştir. Modifiye edilmiş üstel fonksiyon yönteminin doğası gereği, bu yapıdaki çözümlerden daha fazla elde etmek için incelenilmiş olan iki farklı durum burada sunulmuştur. Farklı durumlar da incelenerek daha fazla dalga çözümü elde edilebilir. Ortaya çıkan çözümler analiz edildiğinde hiperbolik, trigonometrik ve rasyonel fonksiyonlar gözlemlenmiştir. Wolfram Mathematica yazılımı ile bulunan çözüm fonksiyonlarının B tipi Kadomtsev Petviashvili denklemini sağlayıp sağlamadığı kontrol edilmiş ve belirlenen uygun parametrelerle dalga çözümünün üç boyutlu kontur, yoğunluk ve iki boyutlu grafiklerin analizi sunulmuştur.
Geliştirilmiş Üstel Fonksiyon Metodu (GÜFM), B tipi Kadomtsev Petviashvili, Dalga Çözümleri
This study obtains some wave solutions of the Btype Kadomtsev Petviashvili equation by applying the modified exponential function method (MEFM). Thanks to this method, the exact solutions of the nonlinear 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.
Modified Exponential Function Method (MEFM), Btype Kadomtsev Petviashvili Equation, Wave Solutions, Geliştirilmiş Üstel Fonksiyon Metodu (GÜFM), B tipi Kadomtsev Petviashvili, Dalga Çözümleri
Primary Language  English 

Subjects  Mathematical Sciences, Applied Mathematics 
Journal Section  Mathematics 
Authors 

Publication Date  December 30, 2022 
Submission Date  May 9, 2022 
Acceptance Date  September 8, 2022 
Published in Issue  Year 2022 Volume: 12 Issue: 2 
Bibtex  @research article { adyujsci1114265, journal = {Adıyaman University Journal of Science}, issn = {21471630}, eissn = {2146586X}, address = {}, publisher = {Adıyaman University}, year = {2022}, volume = {12}, number = {2}, pages = {162  176}, doi = {10.37094/adyujsci.1114265}, title = {Wave Solution Analysis of a Nonlinear Mathematical Model on Fluid Mechanics}, key = {cite}, author = {Aktürk, Tolga and Çakmak, Volkan} } 
APA  Aktürk, T. & Çakmak, V. (2022). Wave Solution Analysis of a Nonlinear Mathematical Model on Fluid Mechanics . Adıyaman University Journal of Science , 12 (2) , 162176 . DOI: 10.37094/adyujsci.1114265 
MLA  Aktürk, T. , Çakmak, V. "Wave Solution Analysis of a Nonlinear Mathematical Model on Fluid Mechanics" . Adıyaman University Journal of Science 12 (2022 ): 162176 <https://dergipark.org.tr/en/pub/adyujsci/issue/74285/1114265> 
Chicago  Aktürk, T. , Çakmak, V. "Wave Solution Analysis of a Nonlinear Mathematical Model on Fluid Mechanics". Adıyaman University Journal of Science 12 (2022 ): 162176 
RIS  TY  JOUR T1  Wave Solution Analysis of a Nonlinear Mathematical Model on Fluid Mechanics AU  TolgaAktürk, VolkanÇakmak Y1  2022 PY  2022 N1  doi: 10.37094/adyujsci.1114265 DO  10.37094/adyujsci.1114265 T2  Adıyaman University Journal of Science JF  Journal JO  JOR SP  162 EP  176 VL  12 IS  2 SN  214716302146586X M3  doi: 10.37094/adyujsci.1114265 UR  https://doi.org/10.37094/adyujsci.1114265 Y2  2022 ER  
EndNote  %0 Adıyaman University Journal of Science Wave Solution Analysis of a Nonlinear Mathematical Model on Fluid Mechanics %A Tolga Aktürk , Volkan Çakmak %T Wave Solution Analysis of a Nonlinear Mathematical Model on Fluid Mechanics %D 2022 %J Adıyaman University Journal of Science %P 214716302146586X %V 12 %N 2 %R doi: 10.37094/adyujsci.1114265 %U 10.37094/adyujsci.1114265 
ISNAD  Aktürk, Tolga , Çakmak, Volkan . "Wave Solution Analysis of a Nonlinear Mathematical Model on Fluid Mechanics". Adıyaman University Journal of Science 12 / 2 (December 2022): 162176 . https://doi.org/10.37094/adyujsci.1114265 
AMA  Aktürk T. , Çakmak V. Wave Solution Analysis of a Nonlinear Mathematical Model on Fluid Mechanics. ADYU J SCI. 2022; 12(2): 162176. 
Vancouver  Aktürk T. , Çakmak V. Wave Solution Analysis of a Nonlinear Mathematical Model on Fluid Mechanics. Adıyaman University Journal of Science. 2022; 12(2): 162176. 
IEEE  T. Aktürk and V. Çakmak , "Wave Solution Analysis of a Nonlinear Mathematical Model on Fluid Mechanics", Adıyaman University Journal of Science, vol. 12, no. 2, pp. 162176, Dec. 2022, doi:10.37094/adyujsci.1114265 
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