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On the solution of a mixed nonlinear integral equation
Applied Mathematics and Computation, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. A. Abdou 0001 +2 more
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Integrable nonlinear equations on a half-axis
Ukrainian Mathematical Journal, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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1986
Integral equations appear in many engineering and physics problems. Numerical methods of solution for integral equations have been largely developed within the last 20 years (References 1–4). In this chapter a development involving an imbedding method for obtaining the numerical solution of nonlinear integral equations is described (References 5, 6 ...
Harriet Kagiwada +3 more
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Integral equations appear in many engineering and physics problems. Numerical methods of solution for integral equations have been largely developed within the last 20 years (References 1–4). In this chapter a development involving an imbedding method for obtaining the numerical solution of nonlinear integral equations is described (References 5, 6 ...
Harriet Kagiwada +3 more
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Geometric Integrators for the Nonlinear Schrödinger Equation
Journal of Computational Physics, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Islas, A. L. +2 more
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HAMILTONIAN INTEGRATORS FOR THE NONLINEAR SCHROEDINGER EQUATION
International Journal of Modern Physics C, 1994Hamiltonian 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, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Francisco de la Hoz, Fernando Vadillo
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Integrable Nonlinear Equations
1992Publisher 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, 1992Summary: 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, 1979The 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, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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