About the corollaries of the soliton-breather models of particles tunneling on the example of the nonlinear Klein-Gordon and Schrodinger equation

2016/03/25 by R. K. Salimov, Salimov, R. K., Е. Г. Екомасов +2
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #nlin.PS

paper · pdf · doi:10.48550/arxiv.1603.07951

arxiv created 2016/03/25 · arxiv updated 2016/03/28

Abstract

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.

Related

• Spectral theory of soliton and breather gases for the focusing nonlinear Schrödinger equation
• Breathers and solitons of generalized nonlinear Schrödinger equations as degenerations of algebro-geometric solutions
• Shielding of breathers for the focusing nonlinear Schrödinger equation
• Breather gas and shielding for the focusing nonlinear Schrödinger equation with nonzero backgrounds
• Peregrine soliton as a limiting behavior of the Kuznetsov-Ma and Akhmediev breathers