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Exploring the exact solutions of the Kuramoto-Sivashinsky equation with advection noise in fluid dynamics. [PDF]
Obeidat ST, Rizk D, Mohammed WW.
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Integration of PINN with Conventional Well Logging for Few-Shot TOC Prediction in Ultradeep Source Rocks. [PDF]
He T +6 more
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Physica A: Statistical Mechanics and its Applications, 2021
Abstract In this letter, we analyze the paper by Soliman (2006). Using the modified extended tanh-function (METF) method, Soliman have found exact “solutions” of the Burgers type equations including one-dimensional Burgers and coupled Burgers equations. In this comment, we show that none of these solutions satisfy the corresponding Burgers equations.
Xiangfan Piao, Philsu Kim
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Abstract In this letter, we analyze the paper by Soliman (2006). Using the modified extended tanh-function (METF) method, Soliman have found exact “solutions” of the Burgers type equations including one-dimensional Burgers and coupled Burgers equations. In this comment, we show that none of these solutions satisfy the corresponding Burgers equations.
Xiangfan Piao, Philsu Kim
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Advances in Mathematics: Scientific Journal, 2021
This paper studies $(2 + 1)$-dimensional Heisenberg ferromagnetic spin chain model by using improved modified extended tanh-function method. Various types of solutions are extracted such as bright solitons, singular solitons, dark solitons, singular periodic solutions, Weierstrass elliptic periodic type solutions and exponential function solutions ...
A. Darwish +4 more
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This paper studies $(2 + 1)$-dimensional Heisenberg ferromagnetic spin chain model by using improved modified extended tanh-function method. Various types of solutions are extracted such as bright solitons, singular solitons, dark solitons, singular periodic solutions, Weierstrass elliptic periodic type solutions and exponential function solutions ...
A. Darwish +4 more
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International Journal of Applied and Computational Mathematics, 2022
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Islam Samir +3 more
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Islam Samir +3 more
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The modified extended tanh-function method for solving Burgers-type equations
Physica A: Statistical Mechanics and its Applications, 2006Abstract By means of the modified extended tanh-function (METF) method the multiple travelling wave solutions of some different kinds of nonlinear partial differential equations are presented and implemented in a computer algebraic system. Solutions for the nonlinear equations such as one-dimensional Burgers, KDV–Burgers, coupled Burgers and two ...
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Physics Letters A, 2007
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Qualitative Theory of Dynamical Systems
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Nan, Tang +7 more
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Nan, Tang +7 more
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