Results 11 to 20 of about 403 (167)
Jacobi Elliptic Function Expansion Method for the Nonlinear Vakhnenko Equation
Journal of Applied Mathematics and Physics, 2020 By using Jacobi elliptic function expansion method, several kinds of travelling wave solutions of Nonlinear Vakhnenko equation are obtained in this paper. As a result, some new forms of traveling wave solutions of the equation are shown, and the numerical simulation with different parameters for the new forms solutions are given.
Chunhuan Xiang, Honglei Wang
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Alexandria Engineering Journal, 2022 This paper is an wide account of bright solitons and periodic solutions for twin-core couplers and multiple-core couplers with polynomial law of nonlinearity and nonlinear perturbation terms using the Jacobi elliptic function expansion method.
Tarek A. Khalil +3 more
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New generalized Jacobi elliptic function rational expansion method
Journal of Computational and Applied Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Results in PhysicsUsing the Jacobi elliptic function expansion method, which is improved by the novel use of truncated M-fractional derivatives, we thoroughly analyze the improved modified Korteweg-de Vries problem in this paper.
Aamir Farooq +3 more
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Fractal and Fractional, 2022 In this work, the F-expansion method is used to find exact solutions of the space-time fractional modified Benjamin Bona Mahony equation and the nonlinear time fractional Schrödinger equation with beta derivative.
Erdogan Mehmet Ozkan
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New exact travelling solutions of the generalized Hirota equation
Partial Differential Equations in Applied Mathematics, 2021 In this paper, we solve the generalized Hirota equation with an external potential by means of the new Jacobi elliptic function rational expansion method and the exponential rational function method.
Yaning Tang, Zaijun Liang, Meiling Zhou
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The exact solutions for the nonlinear variable-coefficient fifth-order Schrödinger equation
Results in Physics, 2022 In the paper, the nonlinear variable-coefficient fifth-order Schrödinger (NLVS) equation is researched. The NLVS equation is an integrable equation, which can be described the spreading of ultrashort pulses in an inhomogeneous optical fiber.
Cheng’ao Li, Junliang Lu
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Journal of Applied Mathematics, 2013 Based on the F-expansion method, and the extended version of F-expansion method, we investigate the exact solutions of the Kudryashov-Sinelshchikov equation. With the aid of Maple, more exact solutions expressed by Jacobi elliptic function are obtained.
Yun-Mei Zhao
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Solitons and Jacobi Elliptic Function Solutions to the Complex Ginzburg–Landau Equation
Frontiers in Physics, 2020 The complex Ginzburg–Landau (CGL) equation which describes the soliton propagation in the presence of the detuning factor is firstly considered; then its solitons as well as Jacobi elliptic function solutions are obtained systematically using a modified ...
Kamyar Hosseini +6 more
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A new application of Jacobi elliptic function expansion method
Acta Physica Sinica, 2003 Nonlinear evolution equations are classified by introducing a concept of “rank”. A new application of the Jacobi elliptic function expansion method is given， and some exact periodic solutions of a new kind of nonlinear evolution equations are obtained.
null Zhang Shan-Qing, null Li Zhi-Bin
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