Results 41 to 50 of about 29,678 (237)
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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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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A Jacobian elliptic single-field inflation [PDF]
, 2015 In the scenario of single-field inflation, this field is done in terms of Jacobian elliptic functions. This approach provides, when constrained to particular cases, analytic solutions already known in the past, generalizing them to a bigger family of ...
Gallo, Emanuel, Villanueva, J. R.
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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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Cohomologies of Affine Jacobi Varieties and Integrable Systems
, 2000 We study the affine ring of the affine Jacobi variety of a hyper-elliptic curve. The matrix construction of the affine hyper-elliptic Jacobi varieties due to Mumford is used to calculate the character of the affine ring.
Nakayashiki, A., Smirnov, F. A.
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Ion Acoustic Solitary Wave Solutions to mKdV-ZK Model in Homogeneous Magnetized Plasma
Advances in Mathematical Physics, 2023 In this exploration, we reflect on the wave transmission of three-dimensional (3D) nonlinear electron–positron magnetized plasma, counting both hot as well as cold ion.
Mst. Razia Pervin +4 more
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Results in Physics, 2022 The main purpose of the present paper is to introduce a reliable method, for the first time, in solving differential equations with partial derivatives. The significant idea behind this method is the modification of a well-known method.
Musaad S. Aldhabani +5 more
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Journal of Applied Mathematics, 2012 We modified the rational Jacobi elliptic functions method to construct some new exact solutions for nonlinear differential difference equations in mathematical physics via the lattice equation, the discrete nonlinear Schrodinger equation with a saturable
Khaled A. Gepreel +2 more
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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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On a generalization of Jacobi's elliptic functions and the Double Sine-Gordon kink chain [PDF]
, 2009 A generalization of Jacobi's elliptic functions is introduced as inversions of hyperelliptic integrals. We discuss the special properties of these functions, present addition theorems and give a list of indefinite integrals.
Baker H. F. +4 more
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