Results 71 to 80 of about 29,678 (237)
New doubly-periodic solutions for the new integrable non local modified KdV equation
Journal of Ocean Engineering and Science, 2017 In this paper, new doubly-periodic solutions will be found for a new integrable nonlocal modified Korteweg-de Vries equation (mKdV). We adopt a technique using a travelling wave transformation which results in different solutions represented in Jacobi ...
S. Shamseldeen +3 more
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Quasi-doubly periodic solutions to a generalized Lame equation
, 2007 We consider the algebraic form of a generalized Lame equation with five free parameters. By introducing a generalization of Jacobi's elliptic functions we transform this equation to a 1-dim time-independent Schroedinger equation with (quasi-doubly ...
Arscott F M +11 more
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
Heun functions versus elliptic functions [PDF]
, 2005 We present some recent progresses on Heun functions, gathering results from classical analysis up to elliptic functions. We describe Picard's generalization of Floquet's theory for differential equations with doubly periodic coefficients and give the ...
Valent, Galliano
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Controlling DNA Three‐Way Junction Conformations via Base Pairing
Small Structures, Volume 7, Issue 4, April 2026.Atomistic molecular dynamics simulations reveal how base pairing determines the Ys‐, T‐, and newly identified Ya‐shaped forms of DNA three‐way junctions, uncovering the dynamic interplay between base‐pairing and junction conformation. DNA three‐way junctions, the simplest form of branched DNA, are widely used scaffolds in nanotechnology and ...
Richard Jacobi, Leticia González
wiley +1 more source
Agents' Behavior and Interest Rate Model Optimization in DeFi Lending
Mathematical Finance, Volume 36, Issue 2, Page 374-396, April 2026.ABSTRACT Contrasting sharply with traditional money, bond, and bond futures markets, where interest rates emerge organically from participant interactions, DeFi lending platforms employ rule‐based interest rates that are algorithmically set. Thus, the selection of an effective interest rate model (IRM) is paramount for the success of a lending protocol.
Charles Bertucci +4 more
wiley +1 more source
Spectral analysis of non-self-adjoint Jacobi operator associated with Jacobian elliptic functions
, 2017 We perform the spectral analysis of a family of Jacobi operators $J(\alpha)$ depending on a complex parameter $\alpha$. If $|\alpha|\neq1$ the spectrum of $J(\alpha)$ is discrete and formulas for eigenvalues and eigenvectors are established in terms of ...
Siegl, Petr, Štampach, František
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Multiple front and pulse solutions in spatially periodic systems
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley +1 more source
International Journal for Numerical Methods in Engineering, Volume 127, Issue 6, 30 March 2026.ABSTRACT The contribution deals with algebraic multigrid (AMG) based preconditioning methods for the iterative solution of a coupled linear system of equations arising in numerical simulations of failure of quasi‐brittle materials using generalized continuum approaches.
Nasser Alkmim +4 more
wiley +1 more source
Exact wave solutions of the nonlinear Rosenau equation using an analytical method
Open Physics, 2021 The purpose of the current study is to find exact travelling wave solutions of the Rosenau equation. By the use of the extended auxiliary equation method, various exact solutions are obtained in terms of Jacobi elliptic functions and exponential ...
Alotaibi Trad, Althobaiti Ali
doaj +1 more source