scholarly journals Auxiliary Condition and Gauge Transformation in the "Super-Many-Time Theory". II

1948 ◽  
Vol 3 (3) ◽  
pp. 229-243
Author(s):  
Z. Koba ◽  
Y. Oisi ◽  
M. Sasaki
Keyword(s):  
Gauge Transformation ◽  
Auxiliary Condition ◽  
Time Theory

scholarly journals N-Fold Darboux Transformation for the Classical Three-Component Nonlinear Schrödinger Equations and Its Exact Solutions

Mathematics ◽  
2021 ◽  
Vol 9 (7) ◽  
pp. 733
Author(s):  
Yu-Shan Bai ◽  
Peng-Xiang Su ◽  
Wen-Xiu Ma
Keyword(s):  
Exact Solutions ◽  
Gauge Transformation ◽  
Darboux Transformation ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Lax Pairs ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrodinger Equations ◽  
The Given

In this paper, by using the gauge transformation and the Lax pairs, the N-fold Darboux transformation (DT) of the classical three-component nonlinear Schrödinger (NLS) equations is given. In addition, by taking seed solutions and using the DT, exact solutions for the given NLS equations are constructed.

scholarly journals LOOP VARIABLES AND GAUGE-INVARIANT INTERACTIONS — II

2001 ◽  
Vol 16 (10) ◽  
pp. 1679-1701 ◽  
Author(s):  
B. SATHIAPALAN
Keyword(s):  
Scattering Amplitudes ◽  
String Theory ◽  
Gauge Transformation ◽  
Dimensional Reduction ◽  
Mass Shell ◽  
Bosonic String ◽  
Higher Dimension ◽  
Gauge Invariant ◽  
Gauge Transformations ◽  
Variable Approach

We continue the discussion of our previous paper on writing down gauge-invariant interacting equations for a bosonic string using the loop variable approach. In the earlier paper the equations were written down in one higher dimension where the fields are massless. In this paper we describe a procedure for dimensional reduction that gives interacting equations for fields with the same spectrum as in bosonic string theory. We also argue that the on-shell scattering amplitudes implied by these equations for the physical modes are the same as for the bosonic string. We check this explicitly for some of the simpler equations. The gauge transformation of space–time fields induced by gauge transformations of the loop variables are discussed in some detail. The unintegrated (i.e. before the Koba–Nielsen integration), regularized version of the equations, are gauge invariant off-shell (i.e. off the free mass shell).

scholarly journals Late-time theory for the effects of a conserved field on the kinetics of an order-disorder transition

1991 ◽  
Vol 44 (13) ◽  
pp. 6673-6688 ◽  
Author(s):  
K. R. Elder ◽  
B. Morin ◽  
Martin Grant ◽  
R. C. Desai
Keyword(s):  
Late Time ◽  
Disorder Transition ◽  
Kinetics Of ◽  
Time Theory

Smoothness of the action of the gauge transformation group on connections

1986 ◽  
Vol 27 (10) ◽  
pp. 2469-2474 ◽  
Author(s):  
M. C. Abbati ◽  
R. Cirelli ◽  
A. Manià ◽  
P. Michor
Keyword(s):  
Gauge Transformation ◽  
Transformation Group

A space-time theory with a privileged frame

1983 ◽  
Vol 13 (10) ◽  
pp. 1013-1022 ◽  
Author(s):  
T. Chang
Keyword(s):  
Space Time ◽  
Time Theory
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