Results 281 to 290 of about 260,232 (317)

THE NONLINEAR MATHIEU EQUATION

International Journal of Bifurcation and Chaos, 1994
The purpose of this paper is to classify the different sequences of bifurcation that can occur for small amplitude solutions to the nonlinear Mathieu equation near to the Mathieu regions of instability. We do this by using the Lindstedt-Poincare perturbation method to construct a vector field which interpolates the successive iterations of the ...
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Numerical Solution of Nonlinear Equations

ACM Transactions on Mathematical Software, 1979
The numermal solutmn of n nonhnear equatmns in n varmbles using the methods of Newton, Brown, and Brent is drscussed. The algorithms are described in detail and their lmplementatmns are compared on a set of test problems.
Jorge J. Moré, Michel Cosnard
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Nonlinear elliptic equations with singular nonlinearities

Asymptotic Analysis, 2013
In this paper we study nonlinear elliptic boundary value problems with singular nonlinearities whose simplest example is −div (|∇u|p−2∇u)=f/uγ in Ω, u=0 on ∂Ω, where Ω is a bounded open set in RN (N≥2), γ>0 ...
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Note on "Solution of Nonlinear Equations"

IEEE Transactions on Computers, 1969
Summary: The method for solution of a system of simultaneous nonlinear equations proposed by \textit{M. C. Y. Kuo} [IEEE Trans. Comput. 17, 897--898 (1968; Zbl 0167.45204)] gives the same results as one proposed by \textit{P. Wolfe} [Commun. ACM 2, No. 12, 12--13 (1959; Zbl 0093.13202)].
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On the nonlinear equations of thermo-electroelasticity

International Journal of Engineering Science, 1971
Abstract The differential equations and boundary conditions describing the behavior of an electrically polarizable, finitely deformable, heat conducting continuum in interaction with the electric field are derived by means of a systematic application of the laws of continuum physics to a macroscopic model consisting of an electronic charge continuum ...
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Comment on "Solution of Nonlinear Equations"

IEEE Transactions on Computers, 1969
Summary: A recently proposed approach to the solution of nonlinear equations [\textit{M. C. Y. Kuo}, IEEE Trans. Comput. 17, 897--898 (1968; Zbl 0167.45204)]] gives the same computing formulas as the generalized secant method. The effect of rounding-off errors is shown to be less than might be feared.
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On Popovski’s method for nonlinear equations

Applied Mathematics and Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stationary solitons of the generalized nonlinear Schrödinger equation with nonlinear dispersion and arbitrary refractive index

Applied Mathematics Letters, 2022
Nikolay A Kudryashov
exaly  

Nonlinear Schrödinger Equations

2006
M. J. ABLOWITZ, PRINARI, Barbara
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Nonlinear Integral Equations

The Annals of Mathematics, 1955
Cameron, R. H., Shapiro, J. M.
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