Iterative Solution of a Nonlinear Static Beam Equation

Global Solution for the Nonlinear Beam Equation

We prove the existence and uniqueness of global solution for the nonlinear beam equation with initial boundary condition: Q in x f u g t u u M u u ) ( ) ( ) ( ) ( 2 2 2 = ′ + Δ ∇ − Δ + ′ ′ φ α where tt u t x u = ′ ′ ) , ( , t u t x u = ′ ) , ( , 0 > α , φ , , g M is nonlinear functions and Δ is Laplacian in n R .

Static Solution of the General Relativistic Nonlinear σ-Model Equation

The nonlinear σ-model is considered to be useful in describing hadrons (Skyrmions) in low energy hadron physics and the approximate behavior of the global texture. Here we investigate the properties of the static solution of the nonlinear σmodel equation coupled with gravity. As in the case where gravity is ignored, there is still no scale parameter that determines the size of the static soluti...

Numerical Solution of Sawada-Kotera equation by using Iterative Methods

Solution of a Nonlinear Schrödinger Equation

A slightly modified variant of the cubic periodic one-dimensional nonlinear Schrödinger equation is shown to be well-posed, in a relatively weak sense, in certain function spaces wider than L. Solutions are constructed as sums of infinite series of multilinear operators applied to initial data; no fixed point argument or energy inequality are used.

An Elasticity Solution for Static Analysis of Functionally Graded Curved Beam Subjected to a Shear Force

In this paper, using 2-D theory of elasticity, a closed-form solution is presented for stressdistributions and displacements of a FG curved beam under shear force at its free end. The materialproperties are assumed to vary continuously through the radial direction based on a simple power lawmodel and Poisson’s ratio is supposed to be constant. In order to verify the solution, it is shown that a...