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Analysis and spectral element solution of nonlinear integral equations of hammerstein type
(2021-01-01)
We employ the spectral element method with Gauss-Lobatto-Legendre collocation points to approximate nonlinear integral equations of Hammerstein type. Using the Banach Fixed Point Theorem, we establish sufficient conditions ...
Integrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BEC
(Elsevier B.V., 2011-01-01)
We investigate the nonlinear Schrodinger equation with a time-dependent nonlinear coefficient. By means of Painleve analysis we establish the integrability for a particular form of the nonlinear coefficient. The corresponding ...
The method of Kantorovich majorants to nonlinear singular integral equations with Hilbert kernel
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)
A symmetric system of mixed Painlevé III-V equations and its integrable origin
(2015-12-18)
A mixed symmetric Painlevé III-V model which describes a hybrid of both equations is defined and obtained by successive self-similarity and Dirac Lagrange multiplier reductions from an integrable 4-boson hierarchy.