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A spectral method for nonlinear elliptic equations [PDF]
Numerical Algorithms, 2016 26 pages.
Kendall E. Atkinson +2 more
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On the numerical solution of some differential equations with nonlocal integral boundary conditions via Haar wavelet [PDF]
Proceedings of the Estonian Academy of Sciences, 2022 Differential equations with nonlocal boundary conditions are used to model a number of physical phenomena encountered in situations where data on the boundary cannot be measured directly. This study explores numerical solutions to elliptic, parabolic and
Imran Aziz +2 more
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Современная математика: Фундаментальные направления, 2023 In this survey, we study boundary-value problems for nonlinear differential-difference equations of elliptic and parabolic types, as well as related nonlinear equations with nonlocal boundary conditions.
O. V. Solonukha
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Open Physics, 2021 This research paper uses a direct algebraic computational scheme to construct the Jacobi elliptic solutions based on the conformal fractional derivatives for nonlinear partial fractional differential equations (NPFDEs). Three vital models in mathematical
Gepreel Khaled A., Mahdy Amr M. S.
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Nonlinear elliptic differential equations with multivalued nonlinearities [PDF]
Proceedings Mathematical Sciences, 2001 In this work, certain quasilinear elliptic boundary value problems are investigated. Homogeneous Dirichlet boundary condition is always considered. In the first result, assuming that the multivalued monotone nonlinearity \(\beta\) satisfies \(\operatorname {dom}\beta = R\) and the existence of an upper and a lower solution, the existence of a solution ...
Fiacca A +3 more
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The Cauchy problem for nonlinear elliptic equations [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ly, I., Tarkhanov, Nikolai Nikolaevich
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Periodic and Solitary Wave Solutions for the One-Dimensional Cubic Nonlinear Schrödinger Model
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 Using a similar approach as Korteweg and de Vries, [19], we obtain periodic solutions expressed in terms of the Jacobi elliptic function cn, [3], for the self-focusing and defocusing one-dimensional cubic nonlinear Schrödinger equations.
Bica Ion, Mucalica Ana
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On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]
, 2015 We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian +13 more
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Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics
Journal of Applied Mathematics, 2012 We put a direct new method to construct the rational Jacobi elliptic solutions for nonlinear differential difference equations which may be called the rational Jacobi elliptic functions method.
Khaled A. Gepreel, A. R. Shehata
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Doubly Periodic Meromorphic Solutions of Autonomous Nonlinear Differential Equations
Моделирование и анализ информационных систем, 2014 The problem of constructing and classifying elliptic solutions of nonlinear differential equations is studied. An effective method enabling one to find an elliptic solution of an autonomous nonlinear ordinary differential equation is described.
M. V. Demina, N. A. Kudryashov
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