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Exploring conversation laws and nonlinear dynamics of the unstable nonlinear Schrödinger equation: Stability and applications
Published 2025-01-01Subjects: “…Unstable nonlinear Schrödinger equation…”
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Nonlinear connections and spinor geometry
Published 2004-01-01“…We present an introduction to the geometry of higher-order vector and covector bundles (including higher-order generalizations of the Finsler geometry and Kaluza-Klein gravity) and review the basic results on Clifford and spinor structures on spaces with generic local anisotropy modeled by anholonomic frames with associated nonlinear connection structures. We emphasize strong arguments for application of Finsler-like geometries in modern string and gravity theory, noncommutative geometry and noncommutative field theory, and gravity.…”
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Topology in nonlinear extensions of hypernumbers
Published 2005-01-01“…In this paper, nonlinear structures are introduced in spaces of real and complex hypernumbers by extending the concept of a hypernumber. …”
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Some Nonlinear Vortex Solutions
Published 2012-01-01“…We consider the steady-state two-dimensional motion of an inviscid incompressible fluid which obeys a nonlinear Poisson equation. By seeking solutions of a specific form, we arrive at some interesting new nonlinear vortex solutions.…”
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Nonlinear memristive computational spectrometer
Published 2025-01-01“…Here, we introduce a computational spectrometer powered by a nonlinear photonic memristor with a WSe2 homojunction. …”
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Nonlinear semelparous Leslie models
Published 2005-10-01Subjects: “…nonlinear matrix models…”
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The problem of synthesis in nonlinear systems
Published 1998-12-01“… Nonlinear systems with unknown stiffness characteristics are investigated when periodic solutions are fixed. …”
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A Modified Lindstedt–Poincaré Method for a Strongly Nonlinear System with Quadratic and Cubic Nonlinearities
Published 1996-01-01“…A modified Lindstedt–Poincaré method is presented for extending the range of the validity of perturbation expansion to strongly nonlinear oscillations of a system with quadratic and cubic nonlinearities. …”
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Optimal and Nonlinear Dynamic Countermeasure under a Node-Level Model with Nonlinear Infection Rate
Published 2017-01-01“…To this end, a controlled node-level model with nonlinear infection and countermeasure rates is established. …”
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Assessment of dynamics of asynchronous drive by nonlinear transfer function. Correction of nonlinearity of asynchronous electric drive
Published 2019-11-01Subjects: Get full text
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Investigation of the Equivalent Representation Form of Strongly Damped Nonlinear Oscillators by a Nonlinear Transformation Approach
Published 2013-01-01“…We use a nonlinear transformation method to develop equivalent equations of motion of nonlinear homogeneous oscillatory systems with linear and nonlinear odd damping terms. …”
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Application of modified extended direct algebraic method to nonlinear fractional diffusion reaction equation with cubic nonlinearity
Published 2025-02-01Subjects: Get full text
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Existence of Positive Solutions to Nonlinear Fractional Boundary Value Problem with Changing Sign Nonlinearity and Advanced Arguments
Published 2014-01-01“…Our analysis relies on a nonlinear alternative of Leray-Schauder type. An example is given to illustrate our results.…”
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A New Topological Degree Theory for Perturbations of Demicontinuous Operators and Applications to Nonlinear Equations with Nonmonotone Nonlinearities
Published 2016-01-01“…In addition, a new existence result is given concerning existence of weak solutions for nonlinear wave equation with nonmonotone nonlinearity.…”
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Existence and Uniqueness of Positive Solutions to Nonlinear Second Order Impulsive Differential Equations with Concave or Convex Nonlinearities
Published 2013-01-01“…Using a new fixed point theorem of generalized concave operators, we present in this paper criteria which guarantee the existence and uniqueness of positive solutions to nonlinear two-point boundary value problems for second-order impulsive differential equations with concave or convex nonlinearities.…”
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Use of a Strongly Nonlinear Gambier Equation for the Construction of Exact Closed Form Solutions of Nonlinear ODEs
Published 2007-01-01“…This treatment is applied to another nonlinear equation, subjected to the same general class as that of Gambier, by constructing step by step an appropriate analytical technique. …”
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