The Analytical Solutions of Bateman-Burgers Equation
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บทคัดย่อ
The objective of this study is to find the new method to get the analytical solutions of nonlinear partial differential equation, namely Bateman-Burgers equation which have the form . The simple equation method is chosen to find the answer. The results of the study show that this method is effective at achieving the solutions of the Bateman-Burgers equation with both Bernoulli equation and Riccati equation.
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บทความที่ได้รับการตีพิมพ์เป็นลิขสิทธิ์ของ PBRU Science Journal
References
Burgers, JM. A mathematical model illustrating the theory of turbulence. Adv Appl Mech 1948;1:171-99.
Bateman H. Some recent researches on the motion of fluids. Mon Weather Rev 1915;43:163-70.
Boateng K, Yang W, Otoo M, Yaro D. Dispersive traveling wave solution for non-linear waves dynamical models. J appl math phys 2019;7:2467-80.
Vitanov N, Dimitrova Z, Vitanov K. Simple Equations Method (SEsM): Algorithm, connection with Hirota method, inverse scattering transform method, and several other methods. Entropy 2021;23:1-36.
Nofal A. Simple equation method for nonlinear partial differential equations and its applications. J Egyptian Math Soc 2015;24:204-9.
Ablowitz J, Clarkson A. Soliton, nonlinear evolution equations and inverse scatting. London Mathematical Society Lecture Note Series 149. 1st ed. Cambridge University Press; 1991.
Kudryashov A. Exact soliton solutions of the generalized evolution equation of wave dynamics. J Appl Math Mech 1988;52:361-5.
Dechanubeksa C, Chinviriyasit S. New analytical solutions of (1+1) dimension Chaffee-Infante equation using modified simple equation method. Proceedings of the 14th IMT-GT ICMSA; 2018 Dec 8-10; Songkhla,Thailand. Thaksin University; 2018.