Extended family of the electrovac two-soliton solutions for the Einstein-Maxwell equations

1995 ◽  
Vol 51 (8) ◽  
pp. 4187-4191 ◽  
Author(s):  
V. S. Manko ◽  
J. Martín ◽  
E. Ruiz
Keyword(s):  
Maxwell Equations ◽  
Extended Family ◽  
Soliton Solutions

scholarly journals Darboux transformation for classical acoustic spectral problem

2003 ◽  
Vol 2003 (49) ◽  
pp. 3123-3142 ◽  
Author(s):  
A. A. Yurova ◽  
A. V. Yurov ◽  
M. Rudnev
Keyword(s):  
Spectral Problem ◽  
Inhomogeneous Medium ◽  
Darboux Transformation ◽  
Maxwell Equations ◽  
Soliton Solutions ◽  
Moutard Transformation ◽  
Acoustic Problem ◽  
Spatial Dimensions ◽  
Dielectric Permitivity ◽  
Harry Dym Equation

We study discrete isospectral symmetries for the classical acoustic spectral problem in spatial dimensions one and two by developing a Darboux (Moutard) transformation formalism for this problem. The procedure follows steps similar to those for the Schrödinger operator. However, there is no one-to-one correspondence between the two problems. The technique developed enables one to construct new families of integrable potentials for the acoustic problem, in addition to those already known. The acoustic problem produces a nonlinear Harry Dym PDE. Using the technique, we reproduce a pair of simple soliton solutions of this equation. These solutions are further used to construct a new positon solution for this PDE. Furthermore, using the dressing-chain approach, we build a modified Harry Dym equation together with its LA pair. As an application, we construct some singular and nonsingular integrable potentials (dielectric permitivity) for the Maxwell equations in a 2D inhomogeneous medium.

TIME DOMAIN ANALYSIS OF HELMHOLTZ SOLITON PROPAGATION USING THE TLM METHOD

2012 ◽  
Vol 21 (03) ◽  
pp. 1250031 ◽  
Author(s):  
P. CHAMORRO-POSADA ◽  
G. S. McDONALD
Keyword(s):  
Time Domain ◽  
Maxwell Equations ◽  
Soliton Solutions ◽  
Time Domain Analysis ◽  
Optical Solitons ◽  
Transmission Line Matrix ◽  
Soliton Propagation ◽  
Nonlinear Media ◽  
Tlm Method ◽  
The Time Domain

The transmission line matrix method is used to study Helmholtz solitons as solutions of the two-dimensional time-domain Maxwell equations in nonlinear media. This approach permits to address, in particular, the propagation and intrinsic stability properties of subwavelength soliton solutions of the scalar nonlinear wave equation and the behavior of optical solitons at arbitrary interfaces. Various numerical issues related to the analysis of soliton beams using the time-domain method are also discussed.

Two-soliton solutions of the Einstein-Maxwell equations

1993 ◽  
Vol 10 (5) ◽  
pp. 961-973 ◽  
Author(s):  
A D Dagotto ◽  
R J Gleiser ◽  
C O Nicasio
Keyword(s):  
Maxwell Equations ◽  
Soliton Solutions

Role of the extended family in talking with teens about sex

2014 ◽  
Author(s):  
Jennifer M. Grossman ◽  
Allison J. Tracy ◽  
Amanda M. Richer
Keyword(s):  
Extended Family

On the Exact Soliton Solutions of Some Nonlinear PDE by Tan-Cot Method

2018 ◽  
Vol 5 (1) ◽  
pp. 31-36
Author(s):  
Md Monirul Islam ◽  
Muztuba Ahbab ◽  
Md Robiul Islam ◽  
Md Humayun Kabir
Keyword(s):  
Solitary Wave ◽  
Acoustic Waves ◽  
Water Waves ◽  
Wave Equations ◽  
Rectangular Channel ◽  
Soliton Solutions ◽  
Boussinesq Equations ◽  
Travelling Wave ◽  
Ion Acoustic Waves ◽  
Analytical System

For many solitary wave applications, various approximate models have been proposed. Certainly, the most famous solitary wave equations are the K-dV, BBM and Boussinesq equations. The K-dV equation was originally derived to describe shallow water waves in a rectangular channel. Surprisingly, the equation also models ion-acoustic waves and magneto-hydrodynamic waves in plasmas, waves in elastic rods, equatorial planetary waves, acoustic waves on a crystal lattice, and more. If we describe all of the above situation, we must be needed a solution function of their governing equations. The Tan-cot method is applied to obtain exact travelling wave solutions to the generalized Korteweg-de Vries (gK-dV) equation and generalized Benjamin-Bona- Mahony (BBM) equation which are important equations to evaluate wide variety of physical applications. In this paper we described the soliton behavior of gK-dV and BBM equations by analytical system especially using Tan-cot method and shown in graphically. GUB JOURNAL OF SCIENCE AND ENGINEERING, Vol 5(1), Dec 2018 P 31-36

Promoting Mass Movements- A New Perspective On Japanese Wartime Imperialism In Korea

2015 ◽  
pp. 1-22
Author(s):  
Shinyoung Kim
Keyword(s):  
Extended Family ◽  
Direct Access ◽  
Mass Movements ◽  
Japanese Imperialism ◽  
Local Practices ◽  
The Social ◽  
Japanese Colonial ◽  
New Perspective ◽  
Economic Bloc ◽  
Colonial Government

This article aims to explore the Japanese colonial government’s efforts to promote mass movements in Korea which rose suddenly and showed remarkable growth throughout the 1930s. It focuses on two Governor-Generals and the directors of the Education Bureau who created the Social Indoctrination movements under Governor-General Ugaki Kazushige in the early 1930s and the National Spiritual Mobilization Movement of Governor-General Minami Jirō in the late 1930s. The analysis covers their respective political motivations, ideological orientation, and organizational structure. It demonstrates that Ugaki, under the drive to integrate Korea with an economic bloc centered on Japan, adapted the traditional local practices of the colonized based on the claim of “Particularities of Korea,” whereas the second Sino-Japanese War led Minami to emphasize assimilation, utilizing the ideology of the extended-family to give colonial power more direct access to individuals as well as obscuring the unequal nature of the colonial relationship. It argues that the colonial government-led campaigns constituted a core ruling mechanism of Japanese imperialism in the 1930s.

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