scholarly journals New type of source extension for a two-dimensional special lattice equation and determinant solutions

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Hong-Yan Wang ◽  
Guo-Qing Zhu
Keyword(s):  
Soliton Solutions ◽  
Coupled System ◽  
Two Dimensional ◽  
Lattice Equation ◽  
Self Consistent ◽  
Special Lattice ◽  
New Type ◽  
The One ◽  
Generation Procedure

AbstractWe present a new type of two-dimensional special lattice equations with self-consistent sources using the source generation procedure. Then we obtain the Grammy-type and Casorati-type determinant solutions of the coupled system. Further, we present the one-soliton and two-soliton solutions.

On the two-dimensional Leznov lattice equation with self-consistent sources

2007 ◽  
Vol 40 (42) ◽  
pp. 12691-12700 ◽  
Author(s):  
Hong-Yan Wang ◽  
Xing-Biao Hu ◽  
Hon-Wah Tam
Keyword(s):  
Two Dimensional ◽  
Lattice Equation ◽  
Self Consistent

SOLITONS IN TWO-DIMENSIONAL ANTI-DE SITTER SPACE

2010 ◽  
Vol 25 (02n03) ◽  
pp. 289-299
Author(s):  
TONNIS TER VELDHUIS
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Soliton Solution ◽  
Quantum Correction ◽  
Soliton Solutions ◽  
Two Dimensional ◽  
De Sitter ◽  
Fluctuation Spectrum ◽  
Background Space ◽  
The One

Soliton solutions in a scalar field theory defined on an AdS1+1 background space-time are investigated. An analytic soliton solution is obtained in a polynomial model, and the classical soliton mass is calculated. The fluctuation spectrum around the soliton solution is determined, and the one-loop quantum correction to the soliton mass is computed in the semi-classical approximation.

On an integrable two-dimensional special lattice with self-consistent sources

2006 ◽  
Vol 58 (2) ◽  
pp. 195-205 ◽  
Author(s):  
Gegenhasi ◽  
Hon-Wah Tam ◽  
Hong-Yan Wang
Keyword(s):  
Two Dimensional ◽  
Self Consistent ◽  
Special Lattice

scholarly journals Classical fluid aspects of nonlinear Schrödinger equations and solitons

1987 ◽  
Vol 1 (2) ◽  
pp. 99-114
Author(s):  
James G. Gilson
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Point Of View ◽  
Alternative Theory ◽  
Two Dimensional ◽  
One Dimensional ◽  
Nonlinear Schrödinger ◽  
Time Region ◽  
The One

The author extends his alternative theory for Schrödinger quantum mechanics by introducing the idea of energy reference strata over configuration space. It is then shown that the view from various such strata defines, the content of the system of interest and enables a variety of different descriptions of events in the same space time region. Thus according to “the point of view” or energy stratum chosen so the type of Schrödinger equation, linear or otherwise, appropriate to describe the system is determined. A nonlinear information channel between two dimensional fluid action in hyperspace into two dimensional energy hyperspace is shown to exist generally as a background to nonlinear Schrödinger structures. In addition it is shown how soliton solutions of the one dimensional Schrödinger equation are related to two dimensional vortex fields in hyperspace.

BÄCKLUND TRANSFORMATION OF A NON-ISOSPECTRAL KPESCS AND ITS NONLINEAR COUPLED SYSTEM

2009 ◽  
Vol 23 (30) ◽  
pp. 3581-3595 ◽  
Author(s):  
YE-PENG SUN ◽  
GUO-FU YU
Keyword(s):  
Exact Solutions ◽  
Bäcklund Transformation ◽  
Coupled System ◽  
Backlund Transformation ◽  
Kp Equation ◽  
Nonlinear Coupled System ◽  
Petviashvili Equation ◽  
Bilinear Bäcklund Transformation ◽  
Self Consistent ◽  
Generation Procedure

A non-isospectral Kadomtsev–Petviashvili equation with self-consistent sources (KPESCS) is first derived by using the source generation procedure. Moreover, its bilinear Bäcklund transformation is obtained. Furthermore, a new nonlinear coupled system of the non-isospectral KPESCS and its exact solutions are established. The new coupled system cannot only be reduced to the non-isospectral KPESCS but can also be reduced to the coupled non-isospectral KP equation.

scholarly journals The Soliton Solutions for the Nonlinear Schrödinger Equation with Self-consistent Source

2021 ◽  
Vol 36 ◽  
pp. 84-94
Author(s):  
A.A. Reyimberganov ◽  
◽  
I. D. Rakhimov ◽  
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Hirota’S Method ◽  
Self Consistent ◽  
The One ◽  
Hirota's Method

In this paper by using Hirota’s method, the one and two soliton solutions of nonlinear Schr¨odinger equation with self-consistent source are studied. We have shown the evolution of the one and two soliton solutions in detail by using graphics.

F.VIII R:Ag in Hepatitis

1979 ◽  
Author(s):  
R. Kotitschke ◽  
J. Scharrer
Keyword(s):  
Chronic Hepatitis ◽  
Blood Donors ◽  
Blood Donation ◽  
Normal Population ◽  
Rabbit Antiserum ◽  
Two Dimensional ◽  
Plastic Plate ◽  
Significant Difference ◽  
Acute Hepatitis B ◽  
The One

F.VIII R:Ag was determined by quantitative immunelectrophoresis (I.E.) with a prefabricated system. The prefabricated system consists of a monospecific f.VIII rabbit antiserum in agarose on a plastic plate for the one and two dimensional immunelectrophoresis. The lognormal distribution of the f.VIII R:Ag concentration in the normal population was confirmed (for n=70 the f.VIII R:Ag in % of normal is = 95.4 ± 31.9). Among the normal population there was no significant difference between blood donors (one blood donation in 8 weeks; for n=43 the f.VIII R:Ag in % of normal is = 95.9 ± 34.0) and non blood donors (n=27;f.VIII R:Ag = 94.6 ± 28.4 %). The f.VIII R:Ag concentration in acute hepatitis B ranged from normal to raised values (for n=10, a factor of 1.8 times of normal was found) and was normal again after health recovery (n=10, the factor was 1.0). in chronic hepatitis the f.VIII R:Ag concentration was raised in the majority of the cases (for n=10, the factor was 3.8). Out of 22 carrier sera 20 showed reduced, 2 elevated levels of the f.VIII R:Ag concentration. in 5 sera no f.VIII R:Ag could be demonstrated. The f.VIII R:Ag concentration was normal for n=10, reduced for n=20 and elevated for n=6 in non A-non B hepatitis (n=36). Contrary to results found in the literature no difference in the electrophoretic mobility of the f.VIII R:Ag was found between hepatitis patients sera and normal sera.

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