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EXACT SOLITON-LIKE SOLUTIONS OF THE 4-FIELD BLASZAK-MARCINIAK LATTICE
Zemlyanukhin A.I. 1, Bochkarev A.V. 2, Chernenko A.V. 3, Ratushny A.V. 4

1. Yuri Gagarin State Technical University of Saratov
2. Yuri Gagarin State Technical University of Saratov
3. Yuri Gagarin state technical university of Saratov
4. Saratov State University

Abstract:

An integrable system of nonlinear differential-difference equations, known as the four-field Blaszak-Marciniac lattice, is considered. Using the geometric series method, exact soliton-like solutions of the system are obtained. _____________________________________________________________________________________________________________________________________ DOI:10.24411/2541-9269-2020-10102

Keywords: differential-difference equations, exact solutions, geometric series method, Blaszak-Marciniak lattice

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