Results 31 to 40 of about 511,018 (227)
Infinitely Many Elliptic Solutions to a Simple Equation and Applications
Abstract and Applied Analysis, 2013 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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Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
International Journal of Mathematics and Mathematical Sciences, 1989 The decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearizatlon techniques.
G. Adomian
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Applied Sciences, 2022 Calculating the large deflection of a cantilever beam is one of the common problems in engineering. The differential equation of a beam under large deformation, or the typical elastica problem, is hard to approximate and solve with the known solutions ...
Chencheng Lian +3 more
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$$C^{\sigma +\alpha }$$Cσ+α regularity for concave nonlocal fully nonlinear elliptic equations with rough kernels [PDF]
, 2014 We establish $$C^{\sigma +\alpha }$$Cσ+α interior estimates for concave nonlocal fully nonlinear equations of order $$\sigma \in (0,2)$$σ∈(0,2) with rough kernels. Namely, we prove that if $$u\in C^{\alpha }(\mathbb {R}^n)$$u∈Cα(Rn) solves in $$B_1$$B1 a
J. Serra
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F-Expansion Method and New Exact Solutions of the Schrödinger-KdV Equation
The Scientific World Journal, 2014 F-expansion method is proposed to seek exact solutions of nonlinear evolution equations. With the aid of symbolic computation, we choose the Schrödinger-KdV equation with a source to illustrate the validity and advantages of the proposed method. A number
Ali Filiz +2 more
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, 2011 Meromorphic solutions of autonomous nonlinear ordinary differential equations are studied. An algorithm for constructing meromorphic solutions in explicit form is presented.
Eremenko +21 more
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Superposition of Elliptic Functions as Solutions For a Large Number of Nonlinear Equations [PDF]
, 2014 For a large number of nonlinear equations, both discrete and continuum, we demonstrate a kind of linear superposition. We show that whenever a nonlinear equation admits solutions in terms of both Jacobi elliptic functions $\cn(x,m)$ and $\dn(x,m)$ with ...
Khare, Avinash, Saxena, Avadh
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Maximum principles for fourth order nonlinear elliptic equations with applications
Boletim da Sociedade Paranaense de Matemática, 2014 The paper is devoted to prove maximum principles for the certain functionals defined on solution of the fourth order nonlinear elliptic equations. These maximum principle so obtained is used to prove the nonexistence of nontrivial solutions of the fourth
D. B. Dhaigude +2 more
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On a Class of Fully Nonlinear Elliptic Equations on Closed Hermitian Manifolds [PDF]
Journal of Geometric Analysis, 2013 We study a class of fully nonlinear elliptic equations on closed Hermitian manifolds. We derive C∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}
Weiling Sun
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Boundary regularity for viscosity solutions of fully nonlinear elliptic equations
, 2013 We provide regularity results at the boundary for continuous viscosity solutions to nonconvex fully nonlinear uniformly elliptic equations and inequalities in Euclidian domains.
Silvestre, Luis, Sirakov, Boyan
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