Results 11 to 20 of about 23,893 (314)

Dynamical investigation of the nonlinear Schrödinger equation with second-order spatiotemporal involvement of the time-conformable operator

Nonlinear Analysis
The article analyzes the application of the extended hyperbolic function technique to a conformable-operator nonlinear Schrödinger equation, incorporating group velocity dispersion coefficients and second-order spatiotemporal components.
Muhammad Amin S. Murad, Faraidun Kadir Hamasalh, Mujahid Iqbal, Sandeep Malik, Ahmed H. Arnous   +4 more
doaj   +3 more sources

A Numerical Method Based on Operator Splitting Collocation Scheme for Nonlinear Schrödinger Equation

Mathematical and Computational Applications
In this paper, a second-order operator splitting method combined with the barycentric Lagrange interpolation collocation method is proposed for the nonlinear Schrödinger equation.
Mengli Yao, Zhifeng Weng
doaj   +2 more sources

Projected gradient iteration for nonlinear operator equation

Journal of Computational and Applied Mathematics, 2011
The article deals with the following iterative method \[ x^{(n+1)} = \text{arg} \, \min_{w \in B_{R,p}} \;F_{\alpha^{(n)}}(w,x^{(n)}), \] where \(F_\alpha(w,x) = \Delta(w) - \|F(w) - F(x)\|_H^2 + \frac1\alpha \, \|w - x\|_2^2\), \(\Delta(x) = \|AS^*(x) - y\|_H^2\), for solving a nonlinear equation \(A(f) = y\), where \(A\) is a possibly ill-posed ...
Wei Huang, Di-Rong Chen
openaire   +2 more sources

Nonlinear Inverse Problems for Equations with Dzhrbashyan–Nersesyan Derivatives

Fractal and Fractional, 2023
The unique solvability in the sense of classical solutions for nonlinear inverse problems to differential equations, solved for the oldest Dzhrbashyan–Nersesyan fractional derivative, is studied.
Vladimir E. Fedorov, Marina V. Plekhanova, Daria V. Melekhina   +2 more
doaj   +1 more source

On the Propagation Model of Two-Component Nonlinear Optical Waves

Axioms, 2023
Currently, two-component integrable nonlinear equations from the hierarchies of the vector nonlinear Schrodinger equation and the vector derivative nonlinear Schrödinger equation are being actively investigated.
Aleksandr O. Smirnov, Eugeni A. Frolov
doaj   +1 more source

On Local Unique Solvability for a Class of Nonlinear Identification Problems

Axioms, 2023
Nonlinear identification problems for evolution differential equations, solved with respect to the highest-order Dzhrbashyan–Nersesyan fractional derivative, are studied.
Vladimir E. Fedorov, Marina V. Plekhanova, Daria V. Melekhina   +2 more
doaj   +1 more source

Smoothness and approximative properties of solutions of the singular nonlinear Sturm-Liouville equation

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
It is known that the eigenvalues λn(n = 1, 2, ...) numbered in decreasing order and taking the multiplicity of the self-adjoint Sturm-Liouville operator with a completely continuous inverse operator L−1 have the following property (∗) λn → 0, when n → ∞,
M.B. Muratbekov, M.M. Muratbekov
doaj   +1 more source

Iterative methods for solving Ambartsumian’s equations. Part 1

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2021
Background. Ambartsumian’s equation and its generalizations are one of the main integral equations of astrophysics, which have found wide application in many areas of physics and technology. An analytical solution to this equation is currently unknown,
I.V. Boykov, A.A. Shaldaeva
doaj   +1 more source

Nonlinear Spectrum and Fixed Point Index for a Class of Decomposable Operators

Mathematics, 2021
We study a class of nonlinear operators that can be written as the composition of a linear operator and a nonlinear map. We obtain results on fixed point index based on parameters that are related to the definitions of nonlinear spectra.
Shugui Kang, Yanlei Zhang, Wenying Feng
doaj   +1 more source

Solutions for a Singular Hadamard-Type Fractional Differential Equation by the Spectral Construct Analysis

Journal of Function Spaces, 2020
In this paper, we consider the existence of positive solutions for a Hadamard-type fractional differential equation with singular nonlinearity. By using the spectral construct analysis for the corresponding linear operator and calculating the fixed point
Xinguang Zhang, Lixin Yu, Jiqiang Jiang, Yonghong Wu, Yujun Cui   +4 more
doaj   +1 more source