Li, "Gauge transformation
and symmetries of the commutative multicomponent BKP hierarchy," Journal of Physics A: Mathematical and General, vol.
In Section 3, we would like to derive a Backlund transformation of Darboux type (or Darboux-Backlund transformation) of the first nonlinear integrable different-difference equation in the obtained family; this transformation is constructed by means of the gauge transformation
of Lax pair of the spectral problem, as application of Darboux-Backlund transformation, an exact solution is given.
In the article titled "Geometric Framework for Unified Field Theory Using Finsler Gauge Transformation
" , the name of the second author was given incorrectly as Sachin Jangir.
This form contains terms which cannot be elliminated by a holomorphic gauge transformation
Kundu, "Exact solutions to higher-order nonlinear equations through gauge transformation
," Physica D: Nonlinear Phenomena, vol.
As a result, in order to get a symmetric EMEM tensor for a system with charges, the corresponding gauge transformation
(3) should be based on Eq.
We lay emphasis on the fact that the variable z(t) behaves like a gauge variable  because, under the gauge transformation
, it transforms as [delta]z(t) = [??](t).
It will be essential to find a mathematical criterion that distinguishes this condition rather than simply asserting some gauge transformation
exists on the lagrangian and seeking the ones that preserve this.
It is easy to see that under a gauge transformation
and an integration by parts, the problem is fixed by taking [[tau].sup.[mu]v.sub.M] to be conserved [[partial derivative].sub.[mu]][[tau].sup.[mu]v.sub.M] = 0.
Another important property of system (1) is an invariance under the gauge transformation
This result highlights the importance of carefully selecting the gauge transformation
used to simplify calculations.