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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]
Sci RepMshary N, Bossly R, Ahmed HM.
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An optimized substitution box generator based on cubic pell curves and its application in image encryption. [PDF]
Sci RepKhan MAM, Azam NA, Kamarulhaili H.
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A scalable and secure federated learning authentication scheme for IoT. [PDF]
Sci RepChithaluru P +6 more
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Elliptic integrals, theta functions and elliptic functions
1966General remarks. Any integral of the type ∫ R \(\left( {z,{Z^{\frac{1}{2}}}} \right)\) is a rational function of x and y and Z is a polynomial of the third or fourth degree in z with real coefficients and no repeated factors is called an elliptic integral.
Wilhelm Magnus +2 more
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2001
In its first six chapters this 2006 text seeks to present the basic ideas and properties of the Jacobi elliptic functions as an historical essay, an attempt to answer the fascinating question: 'what would the treatment of elliptic functions have been like if Abel had developed the ideas, rather than Jacobi?' Accordingly, it is based on the idea of ...
J. V. Armitage, W. F. Eberlein
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In its first six chapters this 2006 text seeks to present the basic ideas and properties of the Jacobi elliptic functions as an historical essay, an attempt to answer the fascinating question: 'what would the treatment of elliptic functions have been like if Abel had developed the ideas, rather than Jacobi?' Accordingly, it is based on the idea of ...
J. V. Armitage, W. F. Eberlein
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One- and two-sided inequalities for Jacobian elliptic functions and related results
Integral Transforms and Special Functions, 2010Edward Neuman
exaly