Multi-Soliton Solution of the Matrix sine-Gordon Equation with a Self-Consistent Source
A. K. BabadjanovaDepartment of Differential Equations ,NATALIA DILNAMathematical Institute , Slovak Academy of Sciences , Stefanikova 898/49 , 814 73 , Bratislava , SlovakiaG. U. UrazboevUrgench State University , Kh.Alimjan Street , 220100 , Urgench , Uzbekistan
2025
ABI
Annotatsiya
The soliton solution in the term of (A, B, C) triplet matrix is obtained. The inverse scattering problem for integration of the matrix sine-Gordon equation with a source is applied. Also, the matrix sine-Gordon equation with a source, specifically, the source consists of the combination of the eigenfunctions of the corresponding eigenvalue problem for the matrix Zakharov-Shabat system is studied.
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