Small parameter method in problems of modeling the dynamics of nonlinear electromagnetic waves in 2D superstructures

Title	Small parameter method in problems of modeling the dynamics of nonlinear electromagnetic waves in 2D superstructures
Authors	I. N. Fedulov¹, S. Y. Glazov² ¹Ulyanovsk State Technical University ²I.M. Sechenov First Moscow State Medical University (Sechenov University)
Annotation	A method has been developed for solving a system of two-dimensional nonlinear wave equations describing the propagation of electromagnetic waves in graphene superstructures, based on the expansion of the desired functions (orthogonal components of the vector potential) in a series in terms of a small parameter characterizing their interaction. This allows us to reduce the original system to linearized equations and to obtain an approximate analytical solution relatively easily.
Keywords	small parameter method, nonlinear waves, superstructures, graphene-based superlattices, graphene superlattices, low-dimensional systems.
Citation	Fedulov I. N., Glazov S. Y. ''Small parameter method in problems of modeling the dynamics of nonlinear electromagnetic waves in 2D superstructures'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 29-31, 2025). Saransk: SVMO Publ, 2025. - pp. 259-262. Available at: https://conf.svmo.ru/files/2025/papers/paper52.pdf. - Date of access: 30.08.2025.