Results 11 to 20 of about 2,627,124 (242)
Dynamical investigation of the nonlinear Schrödinger equation with second-order spatiotemporal involvement of the time-conformable operator [PDF]
Nonlinear AnalysisThe 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 +4 more
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Stabilisation and destabilisation of nonlinear differential equations by noise [PDF]
, 2008 This paper considers the stabilisation and destabilisa- tion by a Brownian noise perturbation which preserves the equilibrium of the ordinary dierential equation x0(t) = f(x(t)).
Mao, X. +5 more
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Implicit methods for the simple wave equation [PDF]
, 1984 A family of finite difference methods is developed for the numerical solution of the simple wave equation. Local truncation errors are cal- culated for each member of the family and each is analyzed for stability.
Tirmizi, S I A, Twizell, E H
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Results in Physics, 2021 This present manuscript studies a nonlinear hyperbolic model in fractional form which generalizes the nonlinear Klein–Gordon system. The equation under investigation includes the presence of a time-fractional operator of the Caputo type.
J.E. Macías-Díaz
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Determining a nonlinear hyperbolic system with unknown sources and nonlinearity [PDF]
Journal of the London Mathematical Society, 2021 This paper is devoted to some inverse boundary problems associated with a time‐dependent semilinear hyperbolic equation, where both nonlinearity and sources (including initial displacement and initial velocity) are unknown. It is shown in several generic
Yi-Hsuan Lin, Hongyu Liu, Xu Liu
semanticscholar +1 more source
On homogenization of nonlinear hyperbolic equations
Communications on Pure and Applied Analysis, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Efendiev, Yalchin, Popov, Bojan
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On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]
, 2015 We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian +13 more
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Complex optical solutions and modulation instability of hyperbolic Schrödinger dynamical equation
Results in Physics, 2019 Complex hyperbolic Schrödinger equation describes ultra-short pulse propagation in nonlinear media fiber optics. In this paper, new complex solutions for the complex hyperbolic Schrödinger equation are constructed using generalized elliptic equation ...
Wilson Osafo Apeanti +2 more
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Anomalous Solutions to Nonlinear Hyperbolic Equations [PDF]
, 2020 The behavior of sufficiently regular solutions to semilinear hyperbolic equations has attracted a great deal of attention in the past decades, concerning local/global existence, finite time blow-up, critical exponents, and propagation of singularities. Solutions of lower regularity may exhibit unexpected (anomalous) propagation of singularities.
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Oscillation of Nonlinear Hyperbolic Differential Equations with Impulses [PDF]
Nonlinear Oscillations, 2004 We study oscillatory properties of solutions of nonlinear impulsive hyperbolic differential equations and find new necessary and sufficient conditions for the existence of oscillations.
Anping Liu, Xiao, L., Mengxing He
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