Anisotropic solitons in a space of dimension n > 1 in theories with the abelian global gauge group

Solutions are found in the form of ''isomeric n-solitons'' defined on equipotential hyperplanes, σ=ksub(μ)xsub(μ), of an n-dimensional space (at x0=const), i. e. in the planes σsub(i), where the function rhosub(i) is a constant, rho(σsub(i))=Csub(i). This class of solitons is an analog of n-dimensional anisotropic solitons. A physical interpretation of such solutions is possible for n=1, 2, 3. This model admits also solutions in terms of elliptic functions for which it is enough to know exactly the roots of the polynomial Psub(2N)E-U(rho)