Еволюцiя одиночної хвилi в квантованiй магнiтоплазмi без зiткнень з анiзотропiєю iонного тиску

doi:10.26565/2312-4334-2024-4-02

Дiпсiха Маханта Департамент математики, Унiверситет Гаухатi, Гувахатi, Iндiя https://orcid.org/0009-0000-5855-2279
Джнандйотi Сарма Департамент математики, коледж Радха Говiнда Баруа, Гувахатi, Iндiя https://orcid.org/0000-0002-0793-5680

DOI: https://doi.org/10.26565/2312-4334-2024-4-02

Ключові слова: рiвняння KdV, поодинока хвиля, квантова плазма, анiзотропiя тиску, аналiз фазової площини, динамiчна система

Анотація

Ця стаття представляє комплексне дослiдження плазми без зiткнень, що складається iз зарядженого стану важкого позитивного iона та легкого позитивного, а також негативного iона. Виводячи рiвняння Кортевега-де Фрiза (KdV) i використовуючи його стандартне рiшення, ми аналiзуємо характеристики iзольованого профiлю за змiнних параметрiв. Ми виявили, що розчин дає як розрiджений, так i стиснутий солiтон. Для повiльного режиму формуються стислi структури, а для швидкого – розрiдженi солiтарнi структури. Крiм того, iз застосуванням теорiї бiфуркацiй планарних динамiчних систем проаналiзовано фазовi портрети. Цей аналiз динамiчної системи дозволив нам отримати важливу iнформацiю про стабiльнiсть цих структур, представлену рiвнянням KdV.

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