ABSTRACT
At present, in many regions of physics, different nonlinear equations are intensively investigated. Real physics are actually nonlinear, however, solutions of appropriate problems are extremely complicated. Moreover, since within quantum field theory, matters are considered as point objects, then it leads to unpleasant obstacles in the form of infinities. Thus, even in classical field theory we face the self-energy problem of a point charge. In quantum field theory, these troubles do not disappear and, on the contrary, are redoubled and find their solution only after the renormalization procedure that is not without some affectation share. However, it turns out that in nonlinear classical field theories, there are promising solutions known as solitons that represent stable and extended configurations not possessing singularities. Let us proceed to the investigations of these objects.
