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Exact solutions for periodic and solitary matter waves in nonlinear lattices
Exact solutions periodic solitary matter waves nonlinear lattices
2010/12/28
We produce three vast classes of exact periodic and solitonic solutions to the one-dimensional
Gross-Pitaevskii equation (GPE) with the pseudopotential in the form of a nonlinear lattice (NL),induced...
On the convergence on nonlinear Padé--Chebyshev approximations to the multivalued analytic functions, variation of equilibrium energy and $S$-property of stationary compacts
convergence on nonlinear Padé--Chebyshev approximations to the multivalued analytic functions variation of equilibrium energy $S$-property of stationary compacts
2011/1/17
Исследуется сходимость диагональных нелинейных аппрокси-маций Паде–Чебышёва для многозначных аналитических функ-ций, заданных и вещественнозначных на единичном отрезке [−1, 1].Получен аналог кла...
The effects of nonlinear Maxwell source on the magnetic solutions in Einstein-Gauss-Bonnet gravity
nonlinear Maxwell source magnetic solutions Einstein-Gauss-Bonnet gravity
2011/3/4
Considering both the power Maxwell invariant source and the Einstein–Gauss–Bonnet gravity,
we present a new class of static solutions yields a spacetime with a longitudinal nonlinear magnetic field.
An Inverse Power Method for Nonlinear Eigenproblems with Applications in 1-Spectral Clustering and Sparse PCA
Inverse Power Method for Nonlinear Eigenproblems Applications 1-Spectral Clustering Sparse PCA
2011/3/2
Many problems in machine learning and statistics can be formulated as (generalized)eigenproblems. In terms of the associated optimization problem, computing linear eigenvectors amounts to finding crit...
Adaptive Set Observers Design for Nonlinear Continuous-Time Systems: Application to Fault Detection and Diagnosis
Adaptive observers nonlinear continuous-time systems fault detection interval residuals
2011/3/2
The paper deals with joint state and parameter estimation for nonlinear continuous-time systems.
Asymptotic stability of small solitary waves for nonlinear Schrödinger equations with electromagnetic potential in $ \mathbb{R}^3$
Asymptotic stability of small solitary waves nonlinear Schrö dinger equations electromagnetic potential $ \mathbb{R}^3$
2011/1/17
We consider the nonlinear magnetic Schr¨odinger equation for u : R3 × R → C,iut = (i∇ + A)2u + V u + g(u), u(x, 0) = u0(x),where A : R3 → R3 is the magnetic potential, V : R3 → R is the electric...
Explicit analytic solution for the nonlinear ion sound waves equation
Homotopy Analysis Method Plasma Physics
2010/9/21
In this article, we use an ecient analytical method called homotopy analysis method (HAM) to derive an approximate solution of nonlinear ion sound waves equation. Actually, we solved Korteweg-de Vrie...
General solutions of a class of axisymmetric deformation problems based on nonlinear elasticity
partial differential equation general solution
2010/9/21
This paper studies the general solutions of a system of partial differential equations, which can describe the finite deformation of an incompressible hyperelastic cylindrical tube composed of the kno...
Differential transform solution of some linear wave equations with mixed nonlinear boundary conditions and its blow up
Wave Equation Series Solution Energy Equation, Blow up
2010/9/20
Using Differential Transform to solve blow up solutions of some linear wave equation with mixed non-linear boundary conditions is proposed in this study.Non-linear boundary conditions cause the finite...
Application of Sumudu transform in reaction-diffusion systems and nonlinear waves
Fractional diffusion equation Generalized Mittag-Liffler Function
2010/9/20
In this paper we investigate the solution of a nonlinear reactiondiffusion equation connected with nonlinear waves by the application of Sumudu transform. The results presented here are in compact and...
Existence of minimal nodal solutions for the Nonlinear Schroedinger equations with V ({\infty}) = 0
Nonlinear Equations Variational Methods Orlicz Spaces,
2011/2/28
We consider the problem u + V (x)u = f′(u) in RN. Here the non-linearity has a double power behavior and V is invariant under an orthogonal involution, with V (∞) = 0. An existence theorem of one pai...
The nonlinear product of the Bessel Laplace operator and the Bessel Helmholtz operator
Bessel Laplace operator Bessel Helmholtz operator
2010/9/25
It is found that the existence of the solution u(x) of such equation depending on the condition of f and k−1 B (B+m2)ku(x). Moreover such solution u(x) related to the nonhomogeneous Bessel bih...
A nonlinear elasticity problem governed by Lame system
nonlinear elasticity problem governed Lame system
2010/9/25
In this work we study a nonlinear problem equation governed by the system of Lam´e, is similar example was the partial differential equations,which operates in relativistic quantum mechanics sys...
On a nonlinear problem intervening in relativistic quantum mechanics perturbed by a factor of amortizement
nonlinear hyperbolic problem perturbed amortizement
2010/9/25
In this work, we study the existence and the uniqueness and the regularity of the solution of a problem governed by a nonlinear equation intervening in relativistic quantum mechanics perturbed by an a...
On gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
Nonlinear parabolic equations Gradient estimates
2010/9/25
Let (M,g) be a complete noncompact Riemannian manifold. In this note, we derive a local gradient estimate for positive solution to a simple nonlinear parabolic equation