Results 81 to 90 of about 6,848 (171)
Numerical Approaches in Nonlinear Fourier Transform‐Based Signal Processing for Telecommunications
Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.ABSTRACT We discuss applications of the inverse scattering transform, also known as the nonlinear Fourier transform (NFT) in telecommunications, both for nonlinear optical fiber communication channel equalization and time‐domain signal processing techniques.
Egor Sedov +3 more
wiley +1 more source
First and Second Integrals of Hopf–Langford-Type Systems
AxiomsThe work examines a seven-parameter, three-dimensional, autonomous, cubic nonlinear differential system. This system extends and generalizes the previously studied quadratic nonlinear Hopf–Langford-type systems.
Vassil M. Vassilev, Svetoslav G. Nikolov
doaj +1 more source
Convergence and nonconvergence in a nonlocal gradient flow
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract We study the asymptotic convergence as t→∞$t\rightarrow \infty$ of solutions of ∂tu=−f(u)+∫f(u)$\partial _t u=-f(u)+\int f(u)$, a nonlocal differential equation that is formally a gradient flow in a constant‐mass subspace of L2$L^2$ arising from simplified models of phase transitions. In case the solution takes finitely many values, we provide
Sangmin Park, Robert L. Pego
wiley +1 more source
Fields of rational constants of cyclic factorizable derivations
Electronic Journal of Differential Equations, 2015 We describe all rational constants of a large family of four-variable cyclic factorizable derivations. Thus, we determine all rational first integrals of their corresponding systems of differential equations.
Janusz Zielinski
doaj
Symmetry, Integrability and Geometry: Methods and Applications, 2012 Discrete spectral transformations of skew orthogonal polynomials are presented. From these spectral transformations, it is shown that the corresponding discrete integrable systems are derived both in 1+1 dimension and in 2+1 dimension. Especially in the (
Hiroshi Miki +2 more
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Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.The Kadomtsev–Petviashvili (KP) equation and the Bogoyavlensky–Konopelchenko (BK) equation are fundamental models in the study of nonlinear wave dynamics, describing the evolution of weakly dispersive, quasi‐two‐dimensional (2D) wave phenomena in integrable systems.
Md. Abdul Aziz, Jingli Ren
wiley +1 more source
Stationary‐Angle Conditions and Bertrand Offsets in Timelike‐Ruled Surfaces
Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.In this study, we introduce the concept of stationary‐angle timelike‐ruled surfaces and examine their geometric properties, particularly in relation to their Bertrand offsets. A timelike‐ruled surface is generated by the motion of a straight ruling along a striction curve, and its structure is analyzed using the Blaschke and Darboux frames.
Areej A. Almoneef +2 more
wiley +1 more source
The Darboux transformation and the complex Toda lattice [PDF]
, 2008 It is well known that each solution of the Toda lattice can be represented by a tridiagonal matrix J(t). Under certain restrictions, it is possible to obtain some new solution by using the Darboux transformation of J(t) ¡ CI. Our goal is the extension of
Barrios Rolania, Maria Dolores +2 more
core +1 more source
Factorization of Dual Quaternion Polynomials Without Study's Condition. [PDF]
Adv Appl Clifford Algebr, 2021 Siegele J, Pfurner M, Schröcker HP.
europepmc +1 more source
Efficient Nyström-type method for the solution of highly oscillatory Volterra integral equations of the second kind. [PDF]
PLoS One, 2023 Wu Q, Sun M.
europepmc +1 more source