Results 51 to 60 of about 403 (167)

Sharp Upper Bound for Amplitudes of Finite‐Gap Solutions of the Modified Korteweg‐de Vries Equation

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT A sharp upper bound is established for the amplitudes of finite‐gap solutions of the focusing modified Korteweg–de Vries equation. The proof shows that the optimization can be carried out entirely within the finite‐dimensional hierarchy, without explicit integration of the finite‐gap solution. The maximal amplitude is expressed in terms of the
Otis C. Wright III
wiley   +1 more source

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

Boundary 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, Beenish, Kamran, Leila Jamel, Souhail Mohammed Bouzgarrou, Ioan-Lucian Popa   +5 more
doaj   +1 more source

The extended expansion method for Jacobi elliptic function and new exact periodic solutions of Zakharov equations

Acta Physica Sinica, 2007
We generalized the Jacobi elliptic function expansion method and obtained some new exact periodic solutions of Zakharov equations, thus replenished the known results of the equation using this method.
null Wu Guo-Jiang, null Zhang Miao, null Shi Liang-Ma, null Zhang Wen-Liang, null Han Jia-Hua   +4 more
openaire   +1 more source

The Improved exp⁡-Φξ-Expansion Method and New Exact Solutions of Nonlinear Evolution Equations in Mathematical Physics

Advances in Mathematical Physics, 2019
The exp(-Φ(ξ))-expansion method is improved by presenting a new auxiliary ordinary differential equation for Φ(ξ). By using this method, new exact traveling wave solutions of two important nonlinear evolution equations, i.e., the ill-posed Boussinesq ...
Guiying Chen, Xiangpeng Xin, Hanze Liu
doaj   +1 more source

On 7‐adic Galois representations for elliptic curves over Q$\mathbb {Q}$

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract In recent years, significant progress has been made on Mazur's Program B, with many authors beginning a systematic classification of all possible images of p$p$‐adic Galois representations attached to elliptic curves over Q$\mathbb {Q}$. Currently, the classification is only complete for p∈{2,3,13,17}$p \in \lbrace 2,3,13,17\rbrace$.
Lorenzo Furio, Davide Lombardo
wiley   +1 more source

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

Partial 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, Rathinavel Silambarasan   +1 more
doaj   +1 more source

Lefschetz decompositions of Kudla–Millson theta functions

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract In the 1980s Kudla and Millson introduced a theta function in two variables. It behaves as a Siegel modular form with respect to the first variable, and is a closed differential form on an orthogonal Shimura variety X$X$ with respect to the other variable. We prove that the Lefschetz decomposition of the cohomology class of that theta function
Jan Hendrik Bruinier, Riccardo Zuffetti
wiley   +1 more source

Jacobi Elliptic Function Solutions for the Conformable Resonant Nonlinear Schrödinger Equation with Parabolic Nonlinearity

Computation
In this study, we utilize the ϕ6-model expansion method to derive a diverse set of Jacobi elliptic function solutions for the conformable resonant Nonlinear Schrödinger Equation (NLSE) with parabolic law nonlinearity.
Du’a Al-zaleq, Lewa’ Alzaleq, Suboh Alkhushayni   +2 more
doaj   +1 more source

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

Engineering 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, Neha Andaleeb Khalid, Baboucarr Ceesay, Zafar Iqbal   +3 more
wiley   +1 more source

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

Results 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, Jamilu Sabi’ u, Homan Emadifar   +2 more
doaj   +1 more source