Results 21 to 30 of about 12,303 (292)
Mathematics, 2023 This article explores adapted mathematical methods to solve the coupled nonlinear Schrödinger (C-NLS) equation through analytical and numerical methods.
Taghread Ghannam Alharbi +1 more
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Analytical and numerical treatment to the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation
Nonlinear Engineering, 2021 In this work, we study the (2 + 1)-dimensional Date-Jimbo-Kashiwara-Miwa (DJKM) equation. We employ the extended tanh function method and the simple equation method to achieve analytical soliton solutions.
Ali Khalid K. +2 more
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Exact Solutions and Non-Traveling Wave Solutions of the (2+1)-Dimensional Boussinesq Equation
Mathematics, 2022 By the extended (G′G) method and the improved tanh function method, the exact solutions of the (2+1) dimensional Boussinesq equation are studied. Firstly, with the help of the solutions of the nonlinear ordinary differential equation, we obtain the new ...
Lihui Gao +3 more
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Two New Applications of the Modified Extended Tanh-Function Method
Zeitschrift für Naturforschung A, 2003 Based on a modified extended tanh-function method and symbolic computation, new exact solutions are found for a soliton breaking equation and coupled kdv system. The obtained solutions include rational, soliton, singular and periodical solutions.
S. A. Elwakil +3 more
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A Tanh Control Method for the Third Mirror’s Z Axis of Large Optical Telescope
IEEE Access, 2023 The position accuracy of the third mirror’s Z axis will directly affect the measurement accuracy of the optical telescope, so it is necessary to improve the position accuracy. In order to improve the control performances of the third mirror’
Wenlin Zhou +6 more
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Unification of all hyperbolic tangent function methods
Open Physics, 2016 Over the last twenty years, several “different” hyperbolic tangent function methods have been proposed to search solutions for nonlinear partial differential equations (NPDEs).
Gözükızıl Ömer Faruk +2 more
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Alexandria Engineering Journal, 2015 Traveling wave solutions of nonlinear (2 + 1)-dimensional Calogero–Bogoyavlenskii–Schiff equation are constructed by using improved (G′/G)-expansion and extended tanh-function methods. We demonstrate that some of the obtained exact solutions of these two
Muhammad Shakeel +1 more
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Mathematics, 2022 Our paper studies the optical solitons for the Kundu–Eckhaus (KE) equation with quintic nonlinearity and Raman effect. By applying the improved modified extended tanh-function method, many soliton solutions can be obtained such as bright soliton ...
Karim K. Ahmed +3 more
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Modified extended tanh-function method and its applications to the Bogoyavlenskii equation
Applied Mathematical Modelling, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emad H.M. Zahran, Mostafa M.A. Khater
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Alexandria Engineering Journal, 2023 In our study we implement an improved modified extended tanh-function (IMETF) method for constructing new solitons and other types of solutions with NLSE having Kudryashov’s generalized nonlinear refractive index.
Manar Ahmed +2 more
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