EuDML | Browse

In this work, we study the existence of nonnegative and nontrivial solutions for the quasilinear Schrödinger equation $- Δ_{N} u + b {| u |}^{N - 2} u - Δ_{N} (u^{2}) u = h (u), x \in ℝ^{N},$ where $Δ_{N}$ is the $N$ -Laplacian operator, $h (u)$ is continuous and behaves as $exp (α | u |^{N / (N - 1)})$ when $| u | \to \infty$ . Using the Nehari manifold method and the Schwarz symmetrization with some special techniques, the existence of a nonnegative and nontrivial solution $u (x) \in W^{1, N} (ℝ^{N})$ with $u (x) \to 0$ as $| x | \to \infty$ is established.

Soliton type asymptotic solutions of the conserved phase field system.

Omel'yanov, G.A., Danilov, V.G., Radkevich, E.V. (1996)

Portugaliae Mathematica

Solitonová řešení a metoda obráceného rozptylu

Ladislav Hlavatý (1989)

Pokroky matematiky, fyziky a astronomie

Solitons and Gibbs Measures for Nonlinear Schrödinger Equations

K. Kirkpatrick (2012)

Mathematical Modelling of Natural Phenomena

We review some recent results concerning Gibbs measures for nonlinear Schrödinger equations (NLS), with implications for the theory of the NLS, including stability and typicality of solitary wave structures. In particular, we discuss the Gibbs measures of the discrete NLS in three dimensions, where there is a striking phase transition to soliton-like behavior.

Solitons and large time behavior of solutions of a multidimensional integrable equation

Anna Kazeykina (2013)

Journées Équations aux dérivées partielles

Novikov-Veselov equation is a (2+1)-dimensional analog of the classic Korteweg-de Vries equation integrable via the inverse scattering translform for the 2-dimensional stationary Schrödinger equation. In this talk we present some recent results on existence and absence of algebraically localized solitons for the Novikov-Veselov equation as well as some results on the large time behavior of the “inverse scattering solutions” for this equation.

Solitons of the sine-Gordon equation coming in clusters.

Cornelia Schiebold (2002)

Revista Matemática Complutense

In the present paper, we construct a particular class of solutions of the sine-Gordon equation, which is the exact analogue of the so-called negatons, a solution class of the Korteweg-de Vries equation discussed by Matveev [17] and Rasinariu et al. [21]. Their characteristic properties are: Each solution consists of a finite number of clusters. Roughly speaking, in such a cluster solitons are grouped around a center, and the distance between two of them grows logarithmically. The clusters themselves...

Solitons on pseudo-Riemannian manifolds: Stability and motion.

Stuart, David M.A. (2000)

Electronic Research Announcements of the American Mathematical Society [electronic only]

Solitons, peakons, and periodic cuspons of a generalized Degasperis-Procesi equation.

Zhou, Jiangbo, Tian, Lixin (2009)

Mathematical Problems in Engineering

Soluciones con soporte compacto para ciertos problemas semilineales.

Jesús Ildefonso Díaz Díaz (1979)

Collectanea Mathematica

In this paper we prove that some classes of semilinear elliptic problems, formulated in very general terms by using the theory of maximal monotone graphs, admit a finite propagation speed. More concretely we show that if the data of these problems have compact supports, then the same happens to their solutions. These same thechniques will also be applied to some evolution problems. The first results in this direction are due to H. Brézis and to O. Oleinik & A. S. Kalashnikov & C. Yuilin...

Currently displaying 401 – 420 of 1688

Previous Page 21 Next

Displaying 401 – 420 of 1688

Solitary waves in massive nonlinear $𝕊^{N}$ -sigma models.

Solitary waves of generalized Kadomtsev-Petviashvili equations

Solitary-wave propagation and interactions for a sixth-order generalized Boussinesq equation.

Soliton and periodic wave solutions to the osmosis $K (2, 2)$ equation.

Soliton dynamics for the Korteweg-de Vries equation with multiplicative homogeneous noise.

Soliton equations and hyperbolic maps

Soliton scattering by delta impurities

Soliton solutions for quasilinear Schrödinger equation with critical exponential growth in $ℝ^{N}$

Soliton type asymptotic solutions of the conserved phase field system.

Solitonová řešení a metoda obráceného rozptylu

Solitons and Gibbs Measures for Nonlinear Schrödinger Equations

Solitons and large time behavior of solutions of a multidimensional integrable equation

Solitons of the sine-Gordon equation coming in clusters.

Solitons on pseudo-Riemannian manifolds: Stability and motion.

Solitons, peakons, and periodic cuspons of a generalized Degasperis-Procesi equation.

Soluciones con soporte compacto para ciertos problemas semilineales.

Soluciones Periodicas De Un Modela De Un Reactor Dinamico.

Solute transport in porous media with equilibrium and non-equilibrium multiple-site adsorpition: Travelling weaves.

Solution Brances of a semilinear elliptic problem at corak-2 Bifurcation points.

Solution de l'équation d'Euler en dimension 2

Currently displaying 401 – 420 of 1688