Results 21 to 30 of about 694 (184)
Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics
Journal of Applied Mathematics, 2012 We put a direct new method to construct the rational Jacobi elliptic solutions for nonlinear differential difference equations which may be called the rational Jacobi elliptic functions method.
Khaled A. Gepreel, A. R. Shehata
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Phase portraits and new exact traveling wave solutions of the (2+1)-dimensional Hirota system
Results in Physics, 2023 In this paper, we investigate the (2+1)-dimensional Hirota system of equations, which is essential for modeling physical events since it contains the NLS equation and the cmKdV equation. We apply the Jacobi elliptic function method to obtain new results.
Gaukhar Shaikhova +2 more
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Journal of Applied Mathematics, 2012 With the aid of symbolic computation, a new extended Jacobi elliptic function expansion method is presented by means of a new ansatz, in which periodic solutions of nonlinear evolution equations, which can be expressed as a finite Laurent series of some ...
Yafeng Xiao, Haili Xue, Hongqing Zhang
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Explicit solutions of some equations and systems of mathematical physics
Advances in Difference Equations, 2020 This paper deals at first with a fully integrable evolution system of nonlinear partial differential equations (PDEs) which is a generalization of the classical Heisenberg ferromagnet equation.
Angela Slavova, Petar Popivanov
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Results in Physics, 2023 In this paper, we investigate the nonlocal Gross–Pitaevskii equation which describes the phenomena of Bose–Einstein condensates under the mean field approximation.
Hongmei Li, Li Peng, Xuefei Wu
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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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Results in Physics, 2022 In this paper, the modified extended mapping method is applied to obtain solitary wave solutions and other solutions for the Gilson–Pickering equation which describes the wave propagation in plasma physics.
Islam Samir +4 more
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Ninety years of Duffing’s equation [PDF]
Theoretical and Applied Mechanics, 2013 In the paper the origin of the so named ‘Duffing’s equation’ is shown. The author’s generalization of the equation, her published papers dealing with Duffing’s equation and some of the solution methods are presented.
Cvetićanin Livija
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Note on the Jacobi Elliptic Functions
Journal of Algebra, 1998 The Jacobi elliptic functions \(x_1(t)=\text{sn } t\), \(x_2(t)=\text{cn } t\), \(x_3(t)=\text{dn } t\) constitute the solution of the autonomous system of quadratic differential equations \(x'(t)+x(t)^2=0\), with \(x(t)=(x_1(t),x_2(t),x_3(t))\), initial values \(x(0)=(0,0,1)\), and where \[ (x_1,x_2,x_3)^2=(-x_2x_3,x_3x_1,-k^2x_1x_2), \] which defines
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Squashed toric manifolds and higher depth mock modular forms
Journal of High Energy Physics, 2019 Squashed toric sigma models are a class of sigma models whose target space is a toric manifold in which the torus fibration is squashed away from the fixed points so as to produce a neck-like region.
Rajesh Kumar Gupta +2 more
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