Perturbation methods and non-linear hyperbolic waves

From MaRDI portal
Publication:4155213

DOI10.1016/0022-460X(77)90619-8zbMath0375.35005OpenAlexW2095555951MaRDI QIDQ4155213

Ali Hasan Nayfeh

Publication date: 1977

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-460x(77)90619-8




Related Items (only showing first 100 items - show all)

Asymptotic chaosDiffraction management and sub-diffractive solitons in periodically driven Bose-Einstein condensatesBending and torsional resonances in structures subject to ground motionNonlinear dynamics of oscillators with bilinear hysteresis and sinusoidal excitationMulti-scaling analysis of a logistic model with slowly varying coefficientsNonlinear analysis of thermoelastic damping in axisymmetric vibration of micro circular thin-plate resonatorsOn correctness of the Cauchy problem for a two-fluid model of a gas flow containing particlesA uniformly convergent difference method for the periodical boundary value problemA case of plane rotations of an elastic pendulumThe effect of the slip condition on flows of an Oldroyd 6-constant fluidThe application of He's variational iteration method to nonlinear equations arising in heat transferDerivation of Korteweg-de Vries flow equations from nonlinear Schrödinger equationAn artificial parameter-Linstedt-Poincaré method for oscillators with smooth odd nonlinearitiesA seventh order numerical method for singular perturbation problemsAn analytic algorithm of Lane-Emden type equations arising in astrophysics using modified homotopy analysis methodHigh order iterative methods without derivatives for solving nonlinear equationsDetermination of natural frequencies of fluid-conveying pipes using homotopy perturbation methodB-splines with artificial viscosity for solving singularly perturbed boundary value problemsHopf bifurcation of the maglev time-delay feedback system via pseudo-oscillator analysisA brief survey on numerical methods for solving singularly perturbed problemsComment on ``Group solution of a time dependent chemical convective process by M.M. Kassem and A.S. RashedNon-linear vibration analysis of laminated composite plates resting on non-linear elastic foundationsAn analytical technique for solving a class of strongly nonlinear conservative systemsA two-stage model for the SIR outbreak: accounting for the discrete and stochastic nature of the epidemic at the initial contamination stageOn rotational solutions for elliptically excited pendulumApproximate homotopy symmetry and infinite series solutions to the perturbed mKdV equationThe evolutionary behaviour of plane transverse weak nonlinear shock waves in unstrained incompressible isotropic elastic non-conductorsInfluence of local wrinkling on membrane behaviour: A new approach by the technique of slowly variable Fourier coefficientsPeriods of relativistic oscillators with even polynomial potentialsNumerical solutions of systems of nonlinear integro-differential equations by homotopy-perturbation methodNonlinear analysis of a maglev system with time-delayed feedback controlOn the variational iteration method and other iterative techniques for nonlinear differential equationsLimit cycles of non-smooth oscillatorsDetermination of the frequency-amplitude relation for a Duffing-harmonic oscillator by the energy balance methodVariable step size initial value algorithm for singular perturbation problems using locally exact integrationMultiple scattering by random configurations of circular cylinders: weak scattering without closure assumptionsThe \((2+1)\)-dimensional integrable coupling of KdV equation: auto-Bäcklund transformation and new non-traveling wave profilesMulti-order exact solutions to the Drinfeld-Sokolov-Wilson equationsThe application of homotopy analysis method to nonlinear equations arising in heat transferPiecewise-linearized methods for initial-value problems with oscillating solutionsAn MSPT of a parametrically excited cantilever beamNonlinear stability, excitation and soliton solutions in electrified dispersive systemsMultiple bifurcation trees of period-1 motions to chaos in a periodically forced, time-delayed, hardening Duffing oscillatorWave trapping in a two-dimensional sound-soft or sound-hard acoustic waveguide of slowly-varying widthApproximate methods based on order reduction for the periodic solutions of nonlinear third-order ordinary differential equationsThin film hydrodynamics of second- and third-order fluids confined in a Hele-Shaw cellRemarks on elastic buckling for sectorial platesAggregation and emergence in systems of ordinary differential equationsInitial value technique for singularly perturbed two point boundary value problems using an exponentially fitted finite difference schemeAn analytical technique to find approximate solutions of nonlinear damped oscillatory systemsHomotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinderApplied multiscale method to analysis of nonlinear vibration for double-walled carbon nanotubesMixed convection flow of a micropolar fluid over a non-linearly stretching sheetReflection and transmission by a slab with randomly distributed isotropic point scatterersA finite difference method for the singularly perturbed problem with nonlocal boundary conditionA REDUCE program for the normalization of polynomial HamiltoniansThe modified homotopy perturbation method for solving strongly nonlinear oscillatorsAn analytical approach to the sine-Gordon equation using the modified homotopy perturbation methodBifurcations of limit cycles for a quintic Hamiltonian system with a double cuspidal loopApproximate solutions to a parameterized sixth order boundary value problemOn nonlinear oscillation response of a negatively dissipated oscillator and its analogy to long Josephson junctionA new method based on the harmonic balance method for nonlinear oscillatorsModified variational iteration methodOn a class of nonlinear stochastic dynamical systems: Analysis of the transient behaviourNonlinear stability of an axial electric field: effect of interfacial charge relaxationFitted fourth-order tridiagonal finite difference method for singular perturbation problemsOn Linstedt-Poincaré techniques for the quintic Duffing equationReduction of secular error in approximations to harmonic oscillator systems with nonlinear perturbationsThe complex Lorenz equationsNonlinear analysis of arterial blood flow -- steady streaming effectThe stability of the governing equation of envelope surface created by nearly bichromatic waves propagating on an elastic plateAveraged dynamics of time-periodic advection diffusion equations in the limit of small diffusivityOn the time-splitting scheme used in the Princeton ocean modelStatic response of sparsely probabilistic systemsAdomian's decomposition method and homotopy perturbation method in solving nonlinear equationsHybrid-Galerkin perturbation method for forced oscillations of the Duffing equationGeneralized approximation method for heat radiation equationsExact solution of a nonlinear boundary value problem of the theory of chemical reactorsNew Lamé function and its application to nonlinear equationsComment on: ``The three-dimensional flow past a stretching sheet and the homotopy perturbation method, by P.D. Ariel, Computers and Mathematics with Applications 54 (2007) 920-925Reply to the comment on ``The three-dimensional flow past a stretching sheet and the homotopy perturbation method by P.D. Ariel, Computers and Mathematics with Applications 54 (2007) 920-925 by El-MistikawyDuffing equations with cubic and quintic nonlinearitiesDynamic behavior of an AMB supported rotor subject to harmonic excitationPicard's iterative method for nonlinear advection-reaction-diffusion equationsPeriodic solutions of second-order nonlinear difference equations containing a small parameterOn generation of auto-oscillations during fibers formationThe effective field method in linear problems of statics of composite mediaOn singular models of a thin inclusion in a homogeneous elastic mediumMathematical analysis of the stochastic dynamics of a spinning spherical satelliteThe scanning normal form of linear dynamical systems with variable coefficientsSome properties of the discrete Hamiltonian methodAction-variable theory and classical frequenciesUnique normal forms: The nilpotent Hamiltonian caseRecent advances in asymptotic modelling of tangent atmospheric motionsPiecewise-linearized methods for oscillators with limit cyclesHigh order fitted operator numerical method for self-adjoint singular perturbation problemsPeriodic solutions of second-order nonlinear difference equations containing a small parameter. II: Equivalent linearizationRandom migration processes between two stochastic epidemic centersPeriodic solutions of second-order nonlinear difference equations containing a small parameter. III: Perturbation theorySolutions of nonlinear boundary value problems by the decomposition method




This page was built for publication: Perturbation methods and non-linear hyperbolic waves