Publication: Analytical solutions and conservation laws of the generalized model for propagation pulses with four powers of nonlinearity
Дата
2024
Авторы
Kudryashov, N. A.
Lavrova, S. F.
Nifontov, D. R.
Journal Title
Journal ISSN
Volume Title
Издатель
Аннотация
Analytical solutions of the generalized nonlinear Schrѓ?dinger with four powers of nonlinearity for description of propagating pulses in optical fiber are presented. Optical solitons corresponding to the mathematical model are given. Conservation laws of the generalized model for propagation pulses with four powers of nonlinearity are written. To the best of our knowledge, the conservation laws obtained have not yet been presented in literature. The equation investigated generalizes several well-known models, which allows us to evaluate the influence of various processes on pulse propagation. Conservative quantities for the bright optical soliton, corresponding to its power, momentum and energy, are calculated. The analytical expressions for conservative quantities obtained can be applied to check whether numerical schemes for the explored equation are conservative.
Описание
Ключевые слова
Conservation law , Nonlinear Equations , Nonlinear Optics , Nonlinear Photonic Systems , Nonlinear Schrѓ?dinger Equation , Periodic Wave Solutions
Цитирование
Kudryashov, N. A. Analytical solutions and conservation laws of the generalized model for propagation pulses with four powers of nonlinearity / Kudryashov, N.A., Lavrova, S.F., Nifontov, D.R. // Optical and Quantum Electronics. - 2024. - 56. - № 7. - 10.1007/s11082-024-06598-y