Abstract In this article, we study the generalized q q -deformed sinh-Gordon equation analytically using new general form of Kudryashov’s approach and numerically finite difference method. We develop a Kudryashov method that contains more than one constant is used to give explanations for solutions are obtained. The nu...

In this note we consider minimal surfaces in three dimensional anti-de Sitter space that end at the AdS boundary on a polygon given by a sequence of null segments. The problem can be reduced to a certain generalized Sinh-Gordon equation and to SU (2) Hitchin equations. The mathematical problem to be solved arises also in the context of the moduli space of certain three dimensional supersymmetri...

In this paper we illustrate the LU representation of fuzzy numbers and present an LU-fuzzy calculator, in order to explain the use of the LU-fuzzy model and to show the advantage of the parametrization. The model can be applied either in the level-cut or in generalized LR frames. The hand-like fuzzy calculator has been developed for the MSWindows platform and produces the basic fuzzy calculus: ...

Let aIp(x) = ∑ n 0 (x/2)2n+p n!Γ(p + an + 1) be the Galué’s generalized modified Bessel function depending on parameters a = 0, 1, 2, . . . and p > −1. Consider the function aI p : R → R, defined by aI p(x) = 2pΓ(p+1)x−paIp(x). Motivated by the inequality of Lazarević, namely cosh x < ( sinh x x )3 for x = 0, in order to generalize this inequality we prove that the Turán-type, Lazarević-type in...

Two concepts named atom solution and combinatory solution are defined. The classification of all single traveling wave atom solutions to Sinh-Gördon equation is obtained, and qualitative properties of solutions are discussed. In particular, we point out that some qualitative properties derived intuitively from dynamic system method aren’t true. In final, we prove that our solutions to Sinh-Görd...

We examine the behaviour of the maximally entangled Bell state of two spin 12 massive particles under relativistic transformations. On the basis of explicit calculations of the Wigner rotation and the use of transformation properties of Dirac spinors, we establish that the constituent particles of the Bell state undergo momentum dependent rotation of the spin orientations characterized by the W...

We study the noncommutative generalization of (euclidean) integrable models in two-dimensions, specifically the sine-and sinh-Gordon and the U (N) principal chiral models. By looking at tree-level amplitudes for the sinh-Gordon model we show that its na¨ıve noncommutative generalization is not integrable. On the other hand, the addition of extra constraints, obtained through the generalization ...

We study the noncommutative generalization of (euclidean) integrable models in two-dimensions, specifically the sine-and sinh-Gordon and the U (N) principal chiral models. By looking at tree-level amplitudes for the sinh-Gordon model we show that its na¨ıve noncommutative generalization is not integrable. On the other hand, the addition of extra constraints, obtained through the generalization ...

A new kind of numerical method based on rational spectral collocation with the sinh transformation is presented for solving parameterized singularly perturbed two-point boundary value problems with one boundary layer. By means of the sinh transformation, the original Chebyshev points are mapped onto the transformed ones clustered near the singular points of the problem. The results from asympto...

We will mainly consider the Sinh-Gordon model in finite spacial volume which corresponds to imposing the periodic boundary conditions φ(x + R) = φ(x). A lot is known about the Sinh-Gordon model in infinite volume R → ∞, see e.g. [1, 2, 3, 4, 5]. The spectrum contains a single particle with mass m which is related to the parameter μ in (1.1) in a definite way [6], see eqn. (5.32) below. The S-ma...