scholarly journals Multi-Skyrmion solutions for the sixth order Skyrme model

2001 ◽  
Vol 64 (4) ◽  
Author(s):  
I. Floratos ◽  
B. Piette
Keyword(s):  
Skyrme Model ◽  
Sixth Order

An Efficient Sixth-Order Convergent Newton-Type Iterative Method for Nonlinear Equations

2012 ◽  
Vol 220-223 ◽  
pp. 2585-2588
Author(s):  
Zhong Yong Hu ◽  
Fang Liang ◽  
Lian Zhong Li ◽  
Rui Chen
Keyword(s):  
Iterative Method ◽  
Nonlinear Equations ◽  
Newton’S Method ◽  
Newton's Method ◽  
Efficiency Index ◽  
Sixth Order ◽  
Type Method ◽  
Second Derivatives ◽  
Better Than

In this paper, we present a modified sixth order convergent Newton-type method for solving nonlinear equations. It is free from second derivatives, and requires three evaluations of the functions and two evaluations of derivatives per iteration. Hence the efficiency index of the presented method is 1.43097 which is better than that of classical Newton’s method 1.41421. Several results are given to illustrate the advantage and efficiency the algorithm.

scholarly journals Bogomolny equations for the BPS Skyrme models with impurity

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Ł.T. Stępień
Keyword(s):  
Skyrme Model

Abstract We show that the BPS Skyrme model, as well as its (2+1) dimensional baby version (restricted), can be coupled with an impurity in the BPS preserving manner. The corresponding Bogomolny equations are derived.

Weak radiative baryon decays in the Skyrme model

1988 ◽  
Vol 37 (7) ◽  
pp. 1912-1922 ◽  
Author(s):  
W. F. Kao ◽  
Howard J. Schnitzer
Keyword(s):  
Skyrme Model

scholarly journals Weak Solutions for a Sixth Order Cahn-Hilliard Type Equation with Degenerate Mobility

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Aibo Liu ◽  
Changchun Liu
Keyword(s):  
Existence Result ◽  
Type Equation ◽  
Initial Boundary ◽  
Sixth Order ◽  
Surfactant Mixtures ◽  
Initial Boundary Problem ◽  
Degenerate Mobility ◽  
Oil Water ◽  
Three Space ◽  
Diffusional Mobility

We study an initial-boundary problem for a sixth order Cahn-Hilliard type equation, which arises in oil-water-surfactant mixtures. An existence result for the problem with a concentration dependent diffusional mobility in three space dimensions is presented.

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