Exact Solution of the Nonlocal PT -Symmetric (2 + 1)-Dimensional Hirota–Maxwell–Bloch System

Myrzakulova, Zhaidary; Zakariyeva, Zaruyet; Zhumakhanova, Anar; Yesmakhanova, Kuralay

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dc.contributor.author	Myrzakulova, Zhaidary
dc.contributor.author	Zakariyeva, Zaruyet
dc.contributor.author	Zhumakhanova, Anar
dc.contributor.author	Yesmakhanova, Kuralay
dc.date.accessioned	2026-03-11T07:40:26Z
dc.date.available	2026-03-11T07:40:26Z
dc.date.issued	2025
dc.identifier.citation	Myrzakulova, Z.; Zakariyeva, Z.; Zhumakhanova, A.; Yesmakhanova, K. Exact Solution of the Nonlocal PT -Symmetric (2 + 1)-Dimensional Hirota–Maxwell– Bloch System. Mathematics 2025, 13, 1101. https://doi.org/10.3390/ math13071101	ru
dc.identifier.issn	2227-7390
dc.identifier.other	doi.org/10.3390/ math13071101
dc.identifier.uri	http://repository.enu.kz/handle/enu/30101
dc.description.abstract	This paper investigates the (2 + 1)-dimensional nonlocal Hirota–Maxwell–Bloch (NH-MB) system under various types of nonlocality. The mathematical consistency of possible nonlocal structures is analyzed, and three types that lead to a well-posed system are identified. The integrability of the system is established through its Lax pair representation, and a Darboux transformation is constructed. Exact soliton solutions are obtained for both the defocusing and focusing cases. The results obtained may find applications in nonlinear optics, quantum theory, and the theory of integrable systems.	ru
dc.language.iso	en	ru
dc.publisher	Mathematics	ru
dc.relation.ispartofseries	13, 1101;
dc.subject	nonlocal system	ru
dc.subject	PT -symmetry	ru
dc.subject	Hirota–Maxwell–Bloch equation	ru
dc.subject	Darboux transformation	ru
dc.title	Exact Solution of the Nonlocal PT -Symmetric (2 + 1)-Dimensional Hirota–Maxwell–Bloch System	ru
dc.type	Article	ru