Results 11 to 20 of about 74,200 (309)

The Matrix Nonlinear Schrödinger Equation in Dimension 2 [PDF]

Journal of Mathematical Analysis and Applications, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zuhan, L, Pedersen, Michael; id_orcid 0000-0002-5166-2624   +1 more
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Nonlinear resonance set for nonlinear matrix equations [PDF]

Linear Algebra and its Applications, 1999
Given an \(n\times n\) real matrix \(A\), its Fučik spectrum \(A_{-1}\subset\mathbb{R}^2\) is the set of all \([a,b]^T \in\mathbb{R}^2\) such that the (nonlinear) equation \(Ax=ax^+-bx^-\) has a nontrivial solution. Here \(x^\pm\) has the elements \(x_i^\pm= \max\{\pm x_i,0\}\), where \(x_i\) are the elements of \(x\).
Margulies, Caryl, Margulies, William
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Explicit solutions of the cubic matrix nonlinear Schrödinger equation [PDF]

Inverse Problems, 2008
In this paper, we derive a class of explicit solutions, global in , of the focusing matrix nonlinear Schrodinger equation using straightforward linear algebra. We obtain both the usual and multiple pole multisoliton solutions as well as a new class of solutions exponentially decaying as x → ±∞.
DEMONTIS, FRANCESCO, VAN DER MEE, CORNELIS VICTOR MARIA   +1 more
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Explicit inverse of near Toeplitz pentadiagonal matrices related to higher order difference operators

Results in Applied Mathematics, 2021
This paper analyzes the inverse of near Toeplitz pentadiagonal matrices, arising from a finite-difference approximation to the fourth-order nonlinear beam equation.
Bakytzhan Kurmanbek, Yogi Erlangga, Yerlan Amanbek   +2 more
doaj   +1 more source

On the Iterative Methods for the Solution of Three Types of Nonlinear Matrix Equations

Mathematics, 2023
In this paper, we investigate the iterative methods for the solution of different types of nonlinear matrix equations. More specifically, we consider iterative methods for the minimal nonnegative solution of a set of Riccati equations, a nonnegative ...
Ivan G. Ivanov, Hongli Yang
doaj   +1 more source

Controlling Stochastic Sensitivity by Feedback Regulators in Nonlinear Dynamical Systems with Incomplete Information

Mathematics, 2021
The problem of synthesis of stochastic sensitivity for equilibrium modes in nonlinear randomly forced dynamical systems with incomplete information is considered.
Irina Bashkirtseva
doaj   +1 more source

A Matrix Schrodinger Approach to Focusing Nonlinear Schrodinger Equations with Nonvanishing Boundary Conditions [PDF]

, 2022
We relate the scattering theory of the focusing AKNS system with equally sized nonvanishing boundary conditions to that of the matrix Schrodinger equation.
van der Mee, C, Demontis, F
core   +1 more source

Numerical inverse Laplace transform based on Bernoulli polynomials operational matrix for solving nonlinear differential equations

Results in Physics, 2020
A numerical inverse Laplace transform method is established using Bernoulli polynomials operational matrix of integration. The efficiency of the method is demonstrated through some standard nonlinear differential equations: Duffing equation, Van der Pol ...
Dimple Rani, Vinod Mishra
doaj   +1 more source

Linear and Nonlinear Matrix Equations [PDF]

Abstract and Applied Analysis, 2013
Matrix equations have practical applications in many areas such as computational mathematics, biology, electricity, dynamic programming, stochastic filtering, statistics, solid mechanics, and control and system theory. In recent years, a large number of papers have studied several linear and nonlinear matrix equations.
Masoud Hajarian, Qing-Wen Wang, Vejdi I. Hasanov   +2 more
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On nonlinear matrix equations

Applied Mathematics Letters, 2013
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Sarah Vaezzadeh, S. Mansour Vaezpour, Reza Saadati   +2 more
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