Analytical analysis of the nonlinear fractional order Pochhammer-Chree equation with power-law nonlinearity in elastic materials. [PDF]
Khalid M, Khalid NA, Ceesay B, Ahmed N.
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Exploration of soliton solutions of the nonlinear Kraenkel-Manna-Merle system using innovative methods in ferromagnetic materials. [PDF]
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Mock Modularity at Work, or Black Holes in a Forest. [PDF]
Alexandrov S.
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Traces of partition Eisenstein series and almost holomorphic modular forms. [PDF]
Bringmann K, Pandey BV.
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Variational Method for Vibration Analysis of Elliptic Cylinders Reinforced with Functionally Graded Carbon Nanotubes. [PDF]
Gong Q, Liu T, Teng Y, Ma B, Li X.
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A stability-enhanced preconditioned Haar wavelet scheme for the solution of Poisson and Helmholtz equations. [PDF]
K A, Karkera H.
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Noise effects on soliton structures of nonlinear Schrödinger equation with generalized Kudryashov's law non-linearity using modified extended mapping technique. [PDF]
Mshary N, Bossly R, Ahmed HM.
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Jacobi elliptic functions are a realization of one of the simplest cases of elliptic functions, as described in Chapter 14: functions with two simple poles in a period parallelogram that are odd around each pole. These functions come up naturally in certain problems of mechanics, such as the motion of an ideal pendulum.
Richard Beals, Roderick S. C. Wong
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Expression of Elliptic Functions in Terms of Jacobi Functions
Russian Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Topic of this chapter are the Jacobi elliptic functions sn, cn, dn, their first derivatives, the additional nine Jacobi elliptic functions, and the amplitude function am. The evaluation of the Jacobi elliptic functions is based on the Jacobi 𝜗 functions and in case of convergency issues additionally on the Gauss hypergeometric function.
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