Publication:
Numerical study of the model described by the fourth order generalized nonlinear Schrödinger equation with cubic-quintic-septic-nonic nonlinearity

Дата
2024
Авторы
Bayramukov, A. A.
Kudryashov, N. A.
Journal Title
Journal ISSN
Volume Title
Издатель
Научные группы
Организационные подразделения
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Организационная единица
Институт лазерных и плазменных технологий
Стратегическая цель Института ЛаПлаз – стать ведущей научной школой и ядром развития инноваций по лазерным, плазменным, радиационным и ускорительным технологиям, с уникальными образовательными программами, востребованными на российском и мировом рынке образовательных услуг.
Выпуск журнала
Аннотация
Using the simplest equation method, exact solutions of the model described by the fourth order generalized nonlinear Schrödinger equation with cubic-quintic-septic-nonic form of nonlinearity are obtained. Some of the main properties of the analytical model are established, such as dispersion relation, conservation of energy and linear instability. The split-step Fourier method is used to derive a numerical scheme for solving the model. The reflection of the properties of the analytical model in the numerical scheme is confirmed. Numerical simulations of the exact solutions of the model are performed, and approximation errors are measured. A numerical experiment is carried out on the interaction of two bright solitary waves.
Описание
Ключевые слова
Conservation , Fourier method , Split-step , Cubic–quintic–septic–nonic , Soliton
Цитирование
Bayramukov,A.А. Numerical study of the model described by the fourth order generalized nonlinear Schrodinger equation with cubic-quintic-septic-nonic nonlinearity [Текст] / Bayramukov,A.A. // Journal of Computational and Applied Mathematics. - 2024
URI
https://openrepository.mephi.ru/handle/123456789/15414
 https://www.doi.org/10.1016/j.cam.2023.115497
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