A nonlinear evolution equation with 2 + 1 dimensions related to nonstationary Dirac-type system
Mansur I Ismailov
TL;DR
This paper introduces a nonlinear evolution equation related to a nonstationary Dirac-type system in two spatial dimensions and demonstrates its solvability via the inverse scattering transform method.
Contribution
It presents a new nonlinear evolution equation linked to nonstationary Dirac systems and analyzes its solvability using inverse scattering techniques.
Findings
Established the inverse scattering transform for the system
Proved the solvability of the nonlinear evolution equation
Extended the analysis to the whole plane setting
Abstract
In this paper the inverse scattering problem for the nonstationary Dirac-type system on the whole plane was considered. A nonlinear evolution sytem of equation related to nonstationary Dirac-type system is introduced and the solviblity of this sytem using the IST method is studied.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Mathematical Physics Problems · Nonlinear Photonic Systems