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A spectral method for nonlinear elliptic equations [PDF]
26 pages.
Kendall E. Atkinson +2 more
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Radial solutions for nonlinear elliptic equation with nonlinear nonlocal boundary conditions [PDF]
In this article, we prove existence of radial solutions for a nonlinear elliptic equation with nonlinear nonlocal boundary conditions. Our method is based on some fixed point theorem in a cone.
Igor Kossowski
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Nonlinear elliptic differential equations with multivalued nonlinearities [PDF]
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 deal of this paper is to use the differential-difference Jacobi elliptic functions sub-equation method for constructing exact solutions of nonlinear electrical circuit including intrinsic fractional-order in the sense of Riemann–Liouville derivatives.
Emmanuel Fendzi-Donfack +5 more
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The Cauchy problem for nonlinear elliptic equations [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ly, I., Tarkhanov, Nikolai Nikolaevich
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Infinitely Many Elliptic Solutions to a Simple Equation and Applications
Based on auxiliary equation method and Bäcklund transformations, we present an idea to find infinitely many Weierstrass and Jacobi elliptic function solutions to some nonlinear problems.
Long Wei, Yang Wang
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In this article, we construct the traveling wave and elliptic function solutions of some special nonlinear evolution equations which are arising in mathematical physics, solid-state physics, fluid flow, fluid dynamics, nonlinear optics, electromagnetic ...
Dianchen Lu +2 more
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W-Shaped Bright Soliton of the (2 + 1)-Dimension Nonlinear Electrical Transmission Line
In this paper, we investigate solitary wave solutions of the nonlinear electrical transmission line by using the Jacobi elliptic function and the auxiliary equation methods.
Mustafa Inc +2 more
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We modified the rational Jacobi elliptic functions method to construct some new exact solutions for nonlinear differential difference equations in mathematical physics via the lattice equation, the discrete nonlinear Schrodinger equation with a saturable
Khaled A. Gepreel +2 more
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Doubly Periodic Meromorphic Solutions of Autonomous Nonlinear Differential Equations
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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