Results 51 to 60 of about 1,744 (163)

Degenerate multi-solitons in the sine-Gordon equation [PDF]

, 2017
We construct various types of degenerate multi-soliton and multi-breather solutions for the sine-Gordon equation based on Bäcklund transformations, Darboux–Crum transformations and Hirota's direct method.
Julia Cen, Correa, F., Fring, A., Cen, J., Francisco Correa, Andreas Fring   +5 more
core   +1 more source

First Basic Problem of Elasticity Theory for a Layer with Cylindrical Cavities Smoothly Contacting Two Cylindrical Bushings

Journal of Mechanical Engineering
A spatial problem of elasticity is solved for a layer with n longitudinal cylindrical cavities, two of which contain thick-walled pipes in smooth contact with the layer.
Oleksii O. Ilin
doaj   +1 more source

Approximate solution to a mixed boundary problem for the elastic semi-infinite layer

Researches in Mathematics
The elasticity problem for a semi-infinite layer is under consideration, when a static compressive load distributed across a rectangular area is acting on the upper layer's face, lower layer's face is in the smooth contact with a rigid foundation and ...
A.A. Fesenko
doaj   +1 more source

Lamé Equations with Finite Monodromy

, 2002
In the first three chapters of this dissertation we give an introduction to the theory of ordinary linear differential equations with coeffcients in C(z). In particular we consider the case of Fuchsian differential equations.
Waall, H.A. van der
core  

First Main Problem of the Theory of Elasticity for a Layer with Two Thick-Walled Pipes and One Cylindrical Cavity

Journal of Mechanical Engineering
Structures that are fixed on cylindrical inclusions are among the most common ones in machine and aircraft construction. Some of these inclusions can be modeled as thick-walled pipes with specified stress values on the inner surface.
Oleksandr Yu. Denshchykov
doaj   +1 more source

Lamé differential equations and electrostatics

, 2000
The problem of existence and uniqueness of polynomial solutions of the Lamé differential equation A(x)y″ + 2B(x)y′ + C(x)y = 0, where A(x),B(x) and C(x) are polynomials of degree p + 1,p and p - 1, is under discussion. We concentrate on the case when A(x)
Dimitrov, Dimitar K., Van Assche, Walter, Dimitrov, Dimitar K. [UNESP]   +2 more
core   +1 more source

Analysis of the Stress-Strain State of a Layer with a Cylindrical Cavity and Embedded Supports with Bushings

Journal of Mechanical Engineering
Using cylindrical embedded supports for parts is common in the aerospace and mechanical engineering industries. Simplifications or approximations are used to calculate such connections.
Mykhailo L. Kosenko
doaj   +1 more source

Heun Functions and Some of Their Applications in Physics

Advances in High Energy Physics, 2018
Most of the theoretical physics known today is described by using a small number of differential equations. For linear systems, different forms of the hypergeometric or the confluent hypergeometric equations often suffice to describe the system studied ...
M. Hortaçsu
doaj   +1 more source

Two Generator Subgroups ofSL(2,C) and the Hypergeometric, Riemann, and Lamé Equations

, 1999
For the purposes of constructing explicit solutions to second-order linear homogeneous differential equations on the Riemann sphere the Kovacic algorithm partitions the subgroups ofSL (2,C) into four classes and initially determines which class contains ...
Churchill, R.C.
core   +1 more source

The Eight-Vertex Model and Painlevé VI [PDF]

, 2015
In this paper we establish a connection of Picard-type elliptic solutions of the Painlevé VI equation with the special solutions of the non-stationary Lamé equation.
Bazhanov, Vladimir, Mangazeev, Vladimir
core   +1 more source