Results 11 to 20 of about 724 (174)
New Exact Jacobi Elliptic Function Solutions for the Coupled Schrödinger-Boussinesq Equations [PDF]
Journal of Applied Mathematics, 2013 A general algebraic method based on the generalized Jacobi elliptic functions expansion method, the improved general mapping deformation method, and the extended auxiliary function method with computerized symbolic computation is proposed to construct ...
Baojian Hong, Dianchen Lu
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New Solutions for the Generalized BBM Equation in terms of Jacobi and Weierstrass Elliptic Functions [PDF]
Abstract and Applied Analysis, 2021 The Jacobi elliptic function method is applied to solve the generalized Benjamin-Bona-Mahony equation (BBM). Periodic and soliton solutions are formally derived in a general form. Some particular cases are considered.
Alvaro H. Salas +2 more
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Solitons and Jacobi Elliptic Function Solutions to the Complex Ginzburg–Landau Equation [PDF]
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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New Jacobi Elliptic Function Solutions for the Zakharov Equations [PDF]
Journal of Applied Mathematics, 2012 A generalized (G′/G)-expansion method is proposed to seek the exact solutions of nonlinear evolution equations. Being concise and straightforward, this method is applied to the Zakharov equations.
Yun-Mei Zhao
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Jacobi elliptic functions and the complete solution to the bead on the hoop problem [PDF]
American Journal of Physics, 2012 Jacobi elliptic functions are flexible functions that appear in a variety of problems in physics and engineering. We introduce and describe important features of these functions and present a physical example from classical mechanics where they appear: a bead on a spinning hoop.
Baker, Thomas E., Bill, Andreas
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Generalized Jacobi Elliptic Function Solution to a Class of Nonlinear Schrödinger‐Type Equations [PDF]
Mathematical Problems in Engineering, 2011 With the help of the generalized Jacobi elliptic function, an improved Jacobi elliptic function method is used to construct exact traveling wave solutions of the nonlinear partial differential equations in a unified way. A class of nonlinear Schrödinger‐type equations including the generalized Zakharov system, the Rangwala‐Rao equation, and the Chen ...
Al-Muhiameed, Zeid I. A. +1 more
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Extended Jacobi elliptic function solutions for general boussinesq systems
Revista Mexicana de Física, 2023 In this research paper, we have utilized the Jacobi elliptic function expansion method to obtain the exact solutions of (1+1)- dimensional Boussinesq System (GBQS). The most important difference that distinguishes this method from other methods is the parameters included in the auxiliary equation F’ (ξ) = Ö P F4(ξ) + QF2(ξ) + R.
Altunay, Rabia, SAN, SAİT
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Visualization of the solution of Jacobi elliptic expanding function
Acta Physica Sinica, 2005 Thanks to the powerful software MATLAB, this paper gets the beautiful figures of a kind of Jacobi elliptic function-sn(x,k);and as an example, we also d raw the figures of solution of Jacobi expanding function of KdV equation in two different parameters.
null Zheng Qiang +2 more
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Open Physics, 2021 This research paper uses a direct algebraic computational scheme to construct the Jacobi elliptic solutions based on the conformal fractional derivatives for nonlinear partial fractional differential equations (NPFDEs). Three vital models in mathematical
Gepreel Khaled A., Mahdy Amr M. S.
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Journal of Applied Mathematics, 2013 We use the improved general mapping deformation method based on the generalized Jacobi elliptic functions expansion method to construct some of the generalized Jacobi elliptic solutions for some nonlinear partial differential equations in mathematical ...
Khaled A. Gepreel
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