DChE

When we neglect some of the terms in the dipole equation, certain conditions of nondegeneracy fail, and mapping the dipole equation into the symmetrical-canonical DCHE becomes impossible.

(32)) can be transformed into the so-called (nondegenerate) canonical form of the DCHE [27, 43].

This is actually the case for the dipole equation, but if we neglect some of its terms this condition fails, and we have a degenerated canonical DCHE that reduces to the traditional differential equations mentioned in Section 4.1.

After this transformation, the dipole equation has the form of the symmetric canonical DCHE for the function y([??])