Results 11 to 20 of about 843 (183)
A Nonlinear Differential Equation Related to the Jacobi Elliptic Functions [PDF]
International Journal of Differential Equations, 2012 A nonlinear differential equation for the polar angle of a point of an ellipse is derived. The solution of this differential equation can be expressed in terms of the Jacobi elliptic function dn(u,k).
Kim Johannessen
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Exponential Riordan arrays and Jacobi elliptic functions [PDF]
Linear and Multilinear Algebra, 2021 This paper establishes relationships between elliptic functions and Riordan arrays leading to new classes of Riordan arrays which here are called elliptic Riordan arrays. In particular, the case of Riordan arrays derived from Jacobi elliptic functions that are parameterized by the elliptic modulus $k$ will be treated here.
Mwafise, Arnauld Mesinga, Barry, Paul
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Cyclic identities involving Jacobi elliptic functions [PDF]
Journal of Mathematical Physics, 2002 We state and discuss numerous new mathematical identities involving Jacobi elliptic functions sn(x,m), cn(x,m), and dn(x,m), where m is the elliptic modulus parameter. In all identities, the arguments of the Jacobi functions are separated by either 2K(m)/p or 4K(m)/p, where p is an integer and K(m) is the complete elliptic integral of the first kind ...
Khare, Avinash, Sukhatme, Uday
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Jacobi Elliptic Cliffordian Functions [PDF]
Complex Variables, Theory and Application: An International Journal, 2002 The well-known Jacobi elliptic functions sn(z)$, $cn(z), dn(z) are defined in higher dimensional spaces by the following method. Consider the Clifford algebra of the antieuclidean vector space of dimension 2m+1. Let x be the identity mapping on the space of scalars + vectors.
Laville, Guy, Ramadanoff, Ivan
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Local identities involving Jacobi elliptic functions [PDF]
Pramana, 2004 47 ...
Khare, Avinash +2 more
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On Properties of Elliptic Jacobi Functions and Applications [PDF]
Journal of Nonlinear Mathematical Physics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Cyclic identities for Jacobi elliptic and related functions [PDF]
Journal of Mathematical Physics, 2003 Identities involving cyclic sums of terms composed from Jacobi elliptic functions evaluated at p equally shifted points on the real axis were recently found. These identities played a crucial role in discovering linear superposition solutions of a large number of important nonlinear equations. We derive four master identities, from which the identities
Khare, Avinash +2 more
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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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Infinitely Many Elliptic Solutions to a Simple Equation and Applications
Abstract and Applied Analysis, 2013 Based on auxiliary equation method and Bäcklund transformations, we present an idea to find infinitely many Weierstrass and Jacobi elliptic function solutions to some nonlinear problems.
Long Wei, Yang Wang
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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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