Results 61 to 70 of about 843 (183)

Uncertainty Quantification of Analytical Solutions for the Nonlinear Space and Time Fractional Order ϕ4$$ {\phi}^4 $$ Equation Under Fuzziness

open access: yesEngineering Reports, Volume 8, Issue 7, July 2026.
Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid   +3 more
wiley   +1 more source

Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature

open access: yesMathematische Nachrichten, Volume 299, Issue 7, Page 1751-1780, July 2026.
ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río   +2 more
wiley   +1 more source

Classification of Jacobi solutions of double dispersion equation in uniform and inhomogeneous Murnaghan’s rod

open access: yesPartial Differential Equations in Applied Mathematics
The double dispersion equation comprising the Lame coefficient, nonlinear coefficient, and Poisson ratio components is described as the uniform and inhomogeneous Murnaghan’s rod by A. M. Samsonov in Samsonov (2001). In this work, we apply the F expansion
Kottakkaran Sooppy Nisar   +1 more
doaj   +1 more source

On the Jacobi Elliptic functions and Applications

open access: yes, 2005
To appear in J. of Nonlin. Math. Phys.
openaire   +2 more sources

A relative Poincaré–Birkhoff theorem

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract A. Moreno and Otto van Koert proved a generalised version of the classical Poincaré–Birkhoff theorem, for Liouville domains of any dimension. In this article, we prove a relative version for Lagrangians with Legendrian boundary. This gives interior chords of arbitrary large length, provided that the twist condition introduced by Moreno and van
Agustin Moreno, Arthur Limoge
wiley   +1 more source

Affine hypersurfaces and superintegrable systems

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract It was recently shown that under mild assumptions, second‐order conformally superintegrable systems can be encoded in a (0,3)‐tensor, called structure tensor. For abundant systems, this approach led to algebraic integrability conditions that essentially allow one to restore a system from the knowledge of its structure tensor in a point on the ...
Vicente Cortés, Andreas Vollmer
wiley   +1 more source

Analytical and dynamical insights into the truncated M-fractional Akbota equation

open access: yesBoundary Value Problems
This paper investigates the truncated M-fractional Akbota equation via the application of Jacobi elliptic function expansion approach. Akbota is an integrable Heisenberg ferromagnetic couple system of equations that is very useful to visualize and study ...
Muhammad Ishfaq Khan   +5 more
doaj   +1 more source

Exploring the Jacobi elliptic and soliton solutions for the nonlinear (1+1)-dimensional Shynaray-IIA equation with conformable derivative

open access: yesResults in Optics
In this paper, we study the application of the Jacobi elliptic function expansion method for finding the new exact solutions to the nonlinear (1+1)- dimensional Shynaray-IIA equation, including the conformable derivative.
Muhammad Ishfaq Khan   +2 more
doaj   +1 more source

The (G′/G)-expansion method for solving a nonlinear PDE describing the nonlinear low-pass electrical lines

open access: yesJournal of Taibah University for Science, 2019
In this paper, we apply the (G′/G)-expansion method based on three auxiliary equations, namely, the generalized Riccati equation $ G^{\prime}(\xi ) = r + pG(\xi ) + q{G^2}(\xi ) $ , the Jacobi elliptic equation $ {({G^{\prime}(\xi )} )^2} = R + Q{G^2 ...
Ayad M. Shahoot   +4 more
doaj   +1 more source

Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
Using the technique of the elliptic Frobenius determinant, we construct new elliptic solutions of the QD-algorithm. These solutions can be interpreted as elliptic solutions of the discrete-time Toda chain as well.
Satoshi Tsujimoto, Alexei Zhedanov
doaj   +1 more source

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