Results 31 to 40 of about 843 (183)
Phase portraits and new exact traveling wave solutions of the (2+1)-dimensional Hirota system
Results in Physics, 2023 In this paper, we investigate the (2+1)-dimensional Hirota system of equations, which is essential for modeling physical events since it contains the NLS equation and the cmKdV equation. We apply the Jacobi elliptic function method to obtain new results.
Gaukhar Shaikhova +2 more
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Results in Physics, 2023 In this paper, we investigate the nonlocal Gross–Pitaevskii equation which describes the phenomena of Bose–Einstein condensates under the mean field approximation.
Hongmei Li, Li Peng, Xuefei Wu
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The Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations
Abstract and Applied Analysis, 2014 Based on a nonlinear fractional complex transformation, the Jacobi elliptic equation method is extended to seek exact solutions for fractional partial differential equations in the sense of the modified Riemann-Liouville derivative.
Bin Zheng, Qinghua Feng
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Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
wiley +1 more source
Differentiable Randers‐Finsler Eikonal Solvers
Computer Graphics Forum, EarlyView.Abstract Fast and differentiable solvers for anisotropic and asymmetric distance fields are a key primitive in geometry processing, enabling gradient‐based optimization over metrics, drift fields, and downstream objectives that depend on geodesic distances and geodesics.
Barak Gahtan +2 more
wiley +1 more source
Fractal and Fractional, 2022 The fractional massive Thirring model is a coupled system of nonlinear PDEs emerging in the study of the complex ultrashort pulse propagation analysis of nonlinear wave functions.
Mohammed Shqair +3 more
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The Politics of Pointing: Lessing's Fingerzeig and the Limits of Figural Reading
The German Quarterly, EarlyView.Abstract Lessing's Fingerzeig—a “pointer” that guides without determining judgment—has often been treated as a stylistic habit rather than a hermeneutic principle. This essay reconstructs it as an ethics of interpretation, a gesture that orients without completing and leaves judgment to whoever follows.
Matthew Thomas Stoltz
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On a measure of algebraic independence of modulus and values of Jacobi elliptic function
Karpatsʹkì Matematičnì Publìkacìï, 2013 It is proved an estimation of a measure of algebraic independence for the modulus and values at various algebraic points of the Jacobi elliptic function.
Kholyavka Ya.M.
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New Jacobi Elliptic Function Solutions for the Zakharov Equations [PDF]
Journal of Applied Mathematics, 2012 A generalized (G′/G)‐expansion method is proposed to seek the exact solutions of nonlinear evolution equations. Being concise and straightforward, this method is applied to the Zakharov equations. As a result, some new Jacobi elliptic function solutions of the Zakharov equations are obtained. This method can also be applied to other nonlinear evolution
openaire +4 more sources
The Long Shadow of Karl Weierstraß Over the Calculus of Variations
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT At first glance, it appears that the contents of Karl Weierstraß's (1815–1897) lecture courses on the calculus of variations were made available to the public only in the seventh volume of his Mathematische Werke, and thus not until 30 years after his death.
Peter Ullrich
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