Results 31 to 40 of about 12,082,846 (215)
Guessing quantum states from images of their zeros in the complex plane
Machine Graphics & Vision, 2023 The problem of determining the wave function of a physical system based on the graphical representation of its zeros is considered. It can be dealt with by invoking the Bargmann representation in which the wave functions are represented by analytic ...
Maciej Janowicz, Andrzej Zembrzuski
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Results in Physics, 2022 In this paper, the modified extended mapping method is applied to obtain solitary wave solutions and other solutions for the Gilson–Pickering equation which describes the wave propagation in plasma physics.
Islam Samir +4 more
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On the Exact Solutions of Nonlinear Potential Yu–Toda–Sasa–Fukuyama Equation by Different Methods
Discrete Dynamics in Nature and Society, 2022 In this article, the exact solutions to the potential Yu–Toda–Sasa–Fukuyama equation are successfully examined by the extended complex method and G′/G-expansion method.
Qinghao Zhu, Jianming Qi
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Fractal and FractionalIn this article, exact solutions of the Biswas–Arshed equation are obtained using the extended Weierstrass transformation method (EWTM). This method is widely used in solid-state physics, electrodynamics, and mathematical physics, and it yields exact ...
Sertac Goktas, Aslı Öner, Yusuf Gurefe
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Weierstrass Analytic Functions
Mathematische Annalen, 1966 Weierstrass introduced a complete analytic function as a set consisting of a power series and all its analytic continuations. This definition — a fundamental expansion of Lagrange’s introduction of a function as a power series — was formany decades the only alternative to the classical introduction of functions as laws or rules associating or pairing ...
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On the degree of approximation by Gauss Weierstrass integrals
International Journal of Mathematics and Mathematical Sciences, 2000 We obtain the degree of approximation of functions belonging to class Lip(ψ(u,v);p), p>1 using the Gauss Weierstrass integral of the double Fourier series of f(x,y).
Huzoor H. Khan, Govind Ram
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Explicit solutions of some equations and systems of mathematical physics
Advances in Difference Equations, 2020 This paper deals at first with a fully integrable evolution system of nonlinear partial differential equations (PDEs) which is a generalization of the classical Heisenberg ferromagnet equation.
Angela Slavova, Petar Popivanov
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Neumann system and hyperelliptic al functions [PDF]
Surveys in Mathematics and its Applications, 2008 This article shows that the Neumann dynamical system is described well in terms of the Weierstrass hyperelliptic al functions. The descriptions are very primitive; their proofs are provided only by residual computations but don't require any theta ...
Shigeki Matsutani
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On the inequality of weierstrass for nonlocal functionals
Journal of Inequalities and Applications, 2001 The aim of this paper is to study the problem of extremum of the nonlocal functional which depends on a function \(u(t,s)\) and its derivative with respect to \(t\) for several values of \(s\). The generalized Weierstrass inequality, the principle of minimum and the generalized Weierstrass-Erdmann conditions are established.
Kamenskii GA, Zabrodina Ju P
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Energy Science &Engineering, EarlyView.The low‐field nuclear magnetic resonance (NMR) measurements are applied to investigate the seepage characteristics of the single rough joint. The purpose of this paper is to investigate the seepage characteristics of granite specimens with single‐joint channel under the different roughness, confining pressures and seepage pressures.
Hao Cheng, Xiujie Zhong
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