Results 271 to 280 of about 30,513 (305)

HAMILTONIAN INTEGRATORS FOR THE NONLINEAR SCHROEDINGER EQUATION

International Journal of Modern Physics C, 1994
Hamiltonian integration schemes for the Nonlinear Schroedinger Equation are examined. The efficiency with respect to accuracy and integration time of an integrable scheme, a standard conservative scheme, and a symplectic method is compared.
Ablowitz, Mark J., Schober, Constance M.
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An integrating factor for nonlinear Dirac equations

Computer Physics Communications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Francisco de la Hoz, Fernando Vadillo
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Integrable Nonlinear Equations

1992
Publisher Summary In this chapter, appropriate linear eigenvalue problems are used to solve several physically significant initial (and initial-boundary) value problems. The main mathematical tools used are the Riemann–Hilbert (RH) problem for equations in 1 + 1 and the nonlocal Riemann–Hilbert problem for some equations in 2 + 1.
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Integration of the nonlinear Schrodinger equation with a source

Inverse Problems, 1992
Summary: It is shown that the nonlinear Schrödinger equation with a source can be investigated by the inverse scattering method for the Dirac operator if the source is represented as the Fourier integral over the eigenfunctions of the so-called generating operator.
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A nonlinear integral equation for visual impedance

Biological Cybernetics, 1979
The Hartline-Ratliff equation is a linear integral equation of the second kind and is employed in modeling inhibitory networks. Saturation of the inhibiting elements is commonly modeled as a function whose form is sigmoid; however, the resulting integral equation is nonlinear.
Berman, Simeon M., Stewart, Alan L.
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On the Integration of a Nonlinear System of Differential Equations

Ukrainian Mathematical Journal, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Boundedness of Solutions of Nonlinear Integral Equations

Bell System Technical Journal, 1965
Sufficient conditions are presented for the boundedness of the solutions of a vector nonlinear Volterra integral equation of the second kind that frequently arises in the study of automatic control systems containing an arbitrary finite number of time-varying nonlinear elements.
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Nonlinear Integral Equations

2012
A nonlinear integral equation is an integral equation in which the unknown function appears in the equation in a nonlinear manner. The nonlinearity may occur either inside or outside of the integrand or simultaneously in both of these locations. It leads to an astonishing variety of new phenomena related to the characteristics of the solutions and to ...
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On a Class of Nonlinear Singular Integral Equations

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1985
The present communication is a continuation of a previous paper by the author [ibid. 63, 249-259 (1983; Zbl 0525.45004)]. In that paper, the author has applied methods of monotone operator theory to some classes of nonlinear singular integral and integro-differential equations of Cauchy type.
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Nonlinear Integral Equations

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