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Arxiv / №10 · 2026 / Maqola
01.00.00 – FIZIKA-MATEMATIKA FANLARI

MOSLANGAN MANBALI MANFIY TARTIBLI MODIFITSIRLANGAN KORTEVEG-DE FRIZ TENGLAMASINING BIR SOLITONLI YECHIMI

Annotatsiya
O'ZBEKCHA

Mazkur maqolada moslangan manbali manfiy tartibli modifitsirlangan Korteveg-de Friz (KdF) tenglamasining bir solitonli yechimi "tez kamayuvchi" funksiyalar sinfida sochilish nazarisining teskari masalasi usuli yordamida qurilgan.

Kalit so'zlar: potensial, xos qiymat, xos funksiya, tez kamayuvchi funksiya, operator.
РУССКИЙ

В данной статье методом обратной задачи рассеяния построено односолитон-ное решение модифицированного уравнения Кортевега–де Фриза (мКдФ) отрицательного порядка с самосогласованным источником в классе быстро убывающих функций

Ключевые слова: потенциал, собственное значение, собственная функция, быстроубываю-щая функция, оператор.
ENGLISH

In this paper, a one-soliton solution of the negative-order modified Korteweg–de Vries (mKdV) equation with a self-consistent source is constructed in the class of rapidly decreasing functions using the inverse scattering transform method.

Keywords: potential, eigenvalue, eigenfunction, rapidly decreasing function, operator.
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Foydalanilgan adabiyotlar

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  9. G.U.Urazboev, I.I.Baltaeva, Sh.E.Atanazarova. Analysis of the solitary wave solutions of the negative order modified Korteweg-de Vries equation with a self-consistent source. Partial Differential equations in Applied Mathematics, 2025, 13, 101108
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