Solutions to the SU(<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e275" altimg="si4.svg"><mml:mi mathvariant="script">N</mml:mi></mml:math>) self-dual Yang–Mills equation
نویسندگان
چکیده
In this paper we aim to derive solutions for the SU($\mathcal{N}$) self-dual Yang-Mills (SDYM) equation with arbitrary $\mathcal{N}$. A set of noncommutative relations are introduced construct a matrix that can be reduced SDYM equation. It is shown these generated from two different Sylvester equations, which correspond Cauchy schemes (matrix) Kadomtsev-Petviashvili hierarchy and Ablowitz-Kaup-Newell-Segur hierarchy, respectively. each scheme investigate possible reductions lead SU$(\mathcal{N})$ also analyze physical significance some solutions, i.e. being Hermitian, positive-definite determinant one.
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2023
ISSN: ['1872-8022', '0167-2789']
DOI: https://doi.org/10.1016/j.physd.2023.133828