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STRANGE ATTRACTOR IN THE VECTOR NONLINEAR SCHRÖDINGER EQUATION

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Authors:  Muminov Hikmat Halimovich - Doctor of Physical and Mathematical Sciences, Academician of the National Academy of Sciences of Tajikistan, Vice-President of the National Academy of Sciences of Tajikistan, Mukhamedova Shoira Faizulloevna - Candidate of Physical and Mathematical Sciences, Associate Professor of the Department of Information Communication Technologies and Programming, TSULBP

 

JOURNAL NUMBER: 2(57). YEAR OF ISSUE2021. LANGUAGE OF THE ARTICLE: Russian

 

ANNOTATION

In this article, we discuss a bifurcation of solitons with several pulsations of dissipative solitons of the vector nonlinear Schrödinger equation (a system of two equations) with a self-consistent potential  in the presence of pumping and a nonzero velocity of motion, which indicates the formation of a chaotic soliton or the so-called "strange attractor".

 

KEY WORDS

pumping, dissipation, vector nonlinear Schrödinger equation, dissipative soliton, pulsation, bifurcation, chaotic soliton.