@NG2011].

Within the Ginzburg-Landau approach to the effective action the domain wall is described simply by the sine-Gordon kink for the angle between chromomagnetic and chromoelectric components of the gluon field [@NG2011]. This kink configuration can be seen as either Bloch or Néel domain wall separating the regions with self-dual and anti-self-dual Abelian gauge fields. On the domain wall the gluon field is Abelian with orthogonal to each other chromomagnetic and chromoelectric fields. We shall not repeat here arguments leading to this conclusion but just refer to papers [@NG2011; @NG2011-1] where a more detailed discussion can be found. Group theoretical analysis of the Weyl symmetry and subgroup embeddings behind the domain wall formation in the effective gauge theories is given in a recent paper [@George:2012sb].

It should be also mentioned that the model of confinement, chiral symmetry breaking and hadronization based on the dominance of the gluon fields which are (anti-)self-dual Abelian almost everywhere demonstrated high phenomenological performance [@EN; @NK1; @NK3; @NK4].

The purpose of the present paper is to evolve the approach outlined in article [@NG2011] in two respects: explicit analytical construction of the domain wall network in $R^4$ through a combination of additive and multiplicative superpositions of kinks, 