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VOLUME 26 (1977) | ISSUE 2 | PAGE 99
New type of additive topological conservation laws for multidimensional solitons
It is shown that to specify nontrivial boundary conditions that lead to the appearance of topological conservation laws for multidimensional solitons it is not necessary that the set of the fields that minimize the Hamiltonian be compact; it may be sufficient for it to contain compact intersecting sets. An example is presented of such a model, which is a certain generalization of the sine-Gordon model to include the multidimensional case. This gives rise to new additional topological conservation laws.