Results 111 to 120 of about 7,549 (163)

Nonlinear equations and graded Lie algebras

Journal of Soviet Mathematics, 1987
Translation from Itogi Nauki Tekh., Ser. Mat. Anal. 22, 101-136 (Russian) (1984; Zbl 0566.58020).
Leznov, A. N., Savel'ev, M. V.
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Hopf Algebra Approaches to Nonlinear Algebraic Equations

Communications in Algebra, 2003
Abstract Let M be a k-vector space and R ∈ Hom(M ⊗p , M ⊗q ), we present a general version of the FRT-construction, we provide a method for examining whether an FRT-bialgebra A(R) has a pre-braided structure and whether M can be regarded as an A(R)-dimodule.
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Solutions of Nonlinear Algebraic Equations

2018
In the area of dynamics, finding equilibrium states of nonlinear systems, bifurcation and stability analysis of the system all lead to zero finding of the nonlinear functions. In control systems, the stability region in the controller parameter space can also be transformed to a zero finding problem.
Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández   +3 more
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Symmetry algebra of nonlinear integrable equations

Theoretical and Mathematical Physics, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ryzhik, L. V., Shul'man, E. I.
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Nonlinear Algebraic Equations

2008
Abstract In chapter 3, we discussed numerical methods for solving systems of linear algebraic equations. The algorithms we developed provide us with a basis for solving systems of nonlinear algebraic equations discussed in this chapter.
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Nonlinear Algebraic Equations

2012
The solution of a system of nonlinear algebraic or transcendental equations is probably one of the most difficult problems in numerical analysis. In general, it is almost impossible to find the solution, unless an approximate value is already known. Linear equations occur more frequently in numerical calculations, simply because it is difficult and ...
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Nonlinear Algebraic Equations

1998
A solitary wave is the solution to a nonlinear boundary value problem. In the literature, these are often called “nonlinear eigenvalue” problems where the phase speed c is the eigenvalue and the shape of the wave u(X;c) is the eigenfunction. The theme of this chapter is: How to solve the discretized equivalent of such a nonlinear eigenproblem: a system
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Algebraic Traveling Wave Solutions to Nonlinear Evolution Equations

Journal of Applied Nonlinear Dynamics, 2019
Summary: In this paper, we employ planar dynamical systems and invariant algebraic curves to characterize all algebraic traveling wave solutions to nonlinear evolution equations. In order to demonstrate the applicability and efficiency of the method, we apply the approach to four \((2+1)\)-dimensional integrable extensions of the Kadomtsev-Petviashvili
Yakup Yıldırım, Emrullah Ya, null sar
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Nonlinear Elliptic Equations and Nonassociative Algebras

2014
This book presents applications of noncommutative and nonassociative algebras to constructing unusual (nonclassical and singular) solutions to fully nonlinear elliptic partial differential equations of second order. The methods described in the book are used to solve a longstanding problem of the existence of truly weak, nonsmooth viscosity solutions ...
Vladut, Serge, Nadirashvili, Nikolai, Tkachev, Vladimir   +2 more
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Algebraic solutions of the nonlinear diffusion equation

Il Nuovo Cimento B Series 11, 1991
For the nonlinear diffusion equationwt=(w−2wy)y, we obtain an infinite sequence of algebraic solutions, and a transformation that reduces the nonlinear differential equation to the linear differential equation.
Ke-Jie Zheng, Qing-Jian Yang, Zu-Liang Pan, Li-Ning Zhang   +3 more
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