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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 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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On the solution of linear and nonlinear integral equation

Applied Mathematics and Computation, 2003
The author considers Fredholm-Volterra integral equations of the second kind in the space \(L_2(\Omega)\times C[0,T]\). The linear as well as the nonlinear case is under consideration. In the linear case, using separation of variables, the author obtains a Volterra integral equation of the second kind with respect to time in the space \(C[0,T]\), and a
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Nonlinear Integral Equations

The Annals of Mathematics, 1955
Cameron, R. H., Shapiro, J. M.
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A nonlinear integral equation

Nonlinear Analysis: Theory, Methods & Applications, 1981
Nussbaum, Roger D., Baxter, Nancy
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Legendre wavelets method for the nonlinear Volterra–Fredholm integral equations

Mathematics and Computers in Simulation, 2005
Mohsen Razzaghi
exaly  

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