Exact Solutions for Confinement of Electric Charge via Condensation of a Spectrum of Magnetic Charges

1995 ◽  
pp. 33-52
Author(s):  
Behram N. Kursunoglu
Keyword(s):  
Exact Solutions ◽  
Electric Charge

scholarly journals TOPOLOGICAL ELECTROPOLES IN (4+1)-DIMENSIONAL EYMCS THEORY

1994 ◽  
Vol 09 (23) ◽  
pp. 2139-2146 ◽  
Author(s):  
C.S. AULAKH ◽  
V. SONI
Keyword(s):  
Exact Solutions ◽  
Electric Charge ◽  
Topological Solitons ◽  
Yang Mills ◽  
Chern Simons ◽  
Made In

A class of explicit exact solutions of Einstein-Yang-Mills-Chern-Simons (EYMCS) theory corresponding to topological solitons carrying non-Abelian topological electric charge is obtained. This verifies a conjecture made in Refs. 1 and 2 regarding the stabilization of the corresponding charged configurations in the theory without gravity.

Extended F-Expansion Method for Solving the modified Korteweg-de Vries (mKdV) Equation

2020 ◽  
Vol 11 (1) ◽  
pp. 93-100
Author(s):  
Vina Apriliani ◽  
Ikhsan Maulidi ◽  
Budi Azhari
Keyword(s):  
Wave Equation ◽  
Exact Solutions ◽  
Internal Waves ◽  
Water Waves ◽  
Wave Equations ◽  
Elliptic Functions ◽  
Expansion Method ◽  
Mkdv Equation ◽  
Innovative Methods ◽  
De Vries

One of the phenomenon in marine science that is often encountered is the phenomenon of water waves. Waves that occur below the surface of seawater are called internal waves. One of the mathematical models that can represent solitary internal waves is the modified Korteweg-de Vries (mKdV) equation. Many methods can be used to construct the solution of the mKdV wave equation, one of which is the extended F-expansion method. The purpose of this study is to determine the solution of the mKdV wave equation using the extended F-expansion method. The result of solving the mKdV wave equation is the exact solutions. The exact solutions of the mKdV wave equation are expressed in the Jacobi elliptic functions, trigonometric functions, and hyperbolic functions. From this research, it is expected to be able to add insight and knowledge about the implementation of the innovative methods for solving wave equations. 

Conserved Quantities for the General Linear Heat Equation

2016 ◽  
pp. 4437-4439
Author(s):  
Adil Jhangeer ◽  
Fahad Al-Mufadi
Keyword(s):  
Evolution Equation ◽  
Heat Equation ◽  
Conservation Laws ◽  
Exact Solutions ◽  
Lagrangian Approach ◽  
General Linear ◽  
Conserved Quantities ◽  
Linear Heat ◽  
The Family ◽  
Partial Lagrangian

In this paper, conserved quantities are computed for a class of evolution equation by using the partial Noether approach [2]. The partial Lagrangian approach is applied to the considered equation, infinite many conservation laws are obtained depending on the coefficients of equation for each n. These results give potential systems for the family of considered equation, which are further helpful to compute the exact solutions.

Experiments on regulation of electric charge on space vehicles

1979 ◽  
Author(s):  
E. WHIPPLE, JR. ◽  
R. OLSEN
Keyword(s):  
Electric Charge ◽  
Space Vehicles
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