Integer Solutions of Matrix Linear Unilateral and Bilateral Equations over Quadratic Rings
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DOI: 10.1007/s10958-017-3337-0
Abstract: For matrix linear equations AX + BY = C and AX + YB = C over quadratic rings ℤk$$ \mathbb{Z}\left[\sqrt{k}\right] $$, we establish necessary and sufficient conditions for the existence of integer solutions, i.e., solutions… read more here.
Keywords: integer solutions; equations quadratic; matrix linear; solutions matrix ... See more keywords
The N-soliton solutions for the matrix modified Korteweg–de Vries equation via the Riemann–Hilbert approach
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DOI: 10.1140/epjp/s13360-020-00575-6
Abstract: This paper focus on seeking the N -soliton solutions for the matrix mKdV equation, which generalizes to the multi-component mKdV equations and the coupled mKdV equations. By utilizing the technique of Riemann–Hilbert and investigating the… read more here.
Keywords: riemann hilbert; soliton solutions; solutions matrix; matrix modified ... See more keywords