Consequently, we can suggest that the presence of the electric field changes the background of D-branes from flat to supergravity background (where the string coupling is strong).
Tasi Lectures on D-branes. arXiv: hep-th/9611050; Leigh R.
A prominent example is the solution found by Erler and Maccaferri  which covers wide range of open string backgrounds such as marginal deformation, D-brane lump, and multiple D-branes.
In this paper, we are interested in ghost D-branes, which are rather different from D-branes in conventional BCFTs.
Type IIA open strings are attached to structures called D-branes.
OPEN STRINGS, D-BRANES, ENDPOINTS: A DREAM PERSPECTIVE
Among the topics are D-branes
and K-theory in two-dimensional topological field theory, open strings and Dirichlet branes, metric aspects of Calabi-Yau manifolds, and the mathematics of homological mirror symmetry.
Typical examples of such cases include an open string attached to D-branes in the presence of background B-field inducing noncommutativity in its both end points [12-15], the quantum Hall effect  and the DKP oscillator .
Hull, "D-branes and the noncommutative torus," The Journal of High Energy Physics, vol.
described by Non-abelian Born-Infeld (BI) action  have many fascinating features.
Finally, generalizations of the Dirac-Konstant and Klein-Gordon-like equations relevant to the physics of D-branes and Matrix Models are presented.
Finally, in the conclusion 5, we present the generalizations of the Dirac-Konstant equations (and their "square" Klein-Gordon type equations) that are relevant to the incorporation of fermions and the physics of D-branes and Matrix Models.