The quantum tunneling radiation of scalar particles near the event horizon Kerr-de Sitter black hole is investigated in three systems coordinates namely naive coordinate system, Painleve system and Eddington using Lorentz violation theory curved space time. Klein-Gordon equation transformed into Hamilton-Jacobi by We observe that due to theory, expressions Hawking temperatures, Bekenstein-Hawki...

Abstract. I study the solutions of a particular family of Painlevé VI equations with the parameters β = γ = 0, δ = 1 2 and 2α = (2μ − 1), for 2μ ∈ Z . I show that the case of half-integer μ is integrable and that the solutions are of two types: the so-called Picard solutions and the so-called Chazy solutions. I give explicit formulae for them and completely determine their asymptotic behaviour ...

Abstract We are concerned with the defocusing modified Korteweg–de Vries equation equipped particular type of irregular initial conditions that given as linear combination Dirac delta function and Cauchy principal value. For value problem we prove existence smooth self-similar solution, whose profile is Ablowitz–Segur solution second Painleve equation. Our method to use approach based on Rieman...

Fractional calculus has many advantages. Under consideration of this paper is a (2+1)-dimensional non-linear local fractional heat conduction equation with arbitrary degree non-linearity. Backlund transformation reduced form the constructed by Painleve analysis. Based on transformation, some exact non-differentiable solutions are obtained. To gain more insights obtained solutions, two constrain...

To find nontrivial high dimensional integrable models (especially in (3+l)-dimensions) is one of the most important problems in nonlinear physics. A systematic method to find some nontrivial high dimensional integrable models is established by means of noninvertible deformation relations. Starting f rom a noninvertible Miura type transformation, we find that the (l + l)-dimensional sinhGordon m...