  The paper presents soliton-breather models of particles tunneling on the
example of Klein-Gordon and Schrodinger equation nonlinear breathers. It is
shown that in this case the non-linearity registration should lead to spatial
restrictions in breathers wave properties observation and to appearance of
radiation during tunneling. The paper also presents a new type of Schrodinger
equation, which leads to the solutions localization in a space
three-dimensional spherically symmetric case.
