Results 101 to 110 of about 29,678 (237)
On elliptic genera of 6d string theories
Journal of High Energy Physics, 2018 We study the elliptic genera of 6d strings based on their modular properties. They are weak Jacobi forms of weight 0, whose indices are determined from the 2d chiral anomalies.
Joonho Kim, Kimyeong Lee, Jaemo Park
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On a functional equation for Jacobi's elliptic function cn(z; k)
Aequationes Mathematicae, 1984 The author considers the functional equation \((1)\quad (f(x+y)+f(x- y))(f(x)^ 2+f(y)^ 2)=2f(x)f(y)(f(x+y)f(x-y)+1),\) where f:\({\mathbb{C}}\to {\mathbb{C}}\) and x,y are complex variables. He shows first that (1) is a generalization of the cosine functional equation \(f(x+y)+f(x- y)=2f(x)f(y).\) The main result proved in this paper is the following ...
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Symmetries, travelling-wave and self-similar solutions of two-component BKP hierarchy
Alexandria Engineering JournalWe investigate the two-component BKP hierarchy equation for its Lie point symmetries. To obtain a complete classification of the group-invariant solution, we derive the one-dimensional optimal system of subalgebras of A3,3(D⨂sT2).
J. Mohammed Zubair Ahamed, R. Sinuvasan
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Rotational cmc surfaces in terms of Jacobi elliptic functions [PDF]
, 2023 Denis Polly
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Extended Jacobi elliptic function solutions for general boussinesq systems
, 2023 Sait San
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Jacobi elliptic functions and change of variable in a convolution
Aequationes mathematicae, 1990 The author considers the functional equation \(G(y+x)/G(y- x)=(f(y)+f(x))/(f(y)-f(x))\) connected with the Brownian motion. He gives the complete set of solutions of this equation in the class of meromorphic functions.
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Exact solutions of the Landau–Ginzburg–Higgs equation utilizing the Jacobi elliptic functions [PDF]
Sevil Çulha Ünal
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Jacobi elliptic function approach to a conformable fractional nonlinear Schrödinger–Hirota equation
, 2023 Ahmad Sharif
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Electronic Journal of Differential Equations, 2002 Using the maximum principle for semicontinuous functions [3,4], we prove a general ``continuous dependence on the nonlinearities'' estimate for bounded Holder continuous viscosity solutions of fully nonlinear degenerate elliptic equations.
Espen R. Jakobsen, Kenneth H. Karlsen
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