On integrability of the higher dimensional time fractional KdV-type equation

JG Liu, XJ Yang, YY Feng, P Cui, LL Geng - Journal of Geometry and …, 2021 - Elsevier
In this article, we investigated a nonlinear higher dimensional time fractional Korteweg–de
Vries-type (KdV) equation. This considered equation is usually used to describe shallow …

Geometric structures on the orbits of loop diffeomorphism groups and related heavenly-type Hamiltonian systems. I

OE Hentosh, YA Prykarpatskyy, AA Balinsky… - Ukrainian Mathematical …, 2023 - Springer
We present a review of differential-geometric and Lie-algebraic approaches to the
investigation of a broad class of nonlinear integrable differential systems of “heavenly” type …

Multiple rogue wave solutions and the linear superposition principle for a (3+ 1)‐dimensional Kadomtsev–Petviashvili–Boussinesq‐like equation arising in energy …

J Manafian - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
The multiple exp‐function method and multiple rogue wave solutions method are employed
for searching the multiple soliton solutions to the (3+ 1)‐dimensional Kadomtsev …

(2+ 1)-dimensional new bi-hamiltonian integrable system: Symmetries, Noether's theorem and integrals of motion

S Yaman - Sigma Journal of Engineering and Natural Sciences, 2024 - dergipark.org.tr
In this work, we investigate a symmetry reduction of the recently discovered (3+ 1)-
dimensional equation of the Monge-Ampère type. This equation forms a bi-Hamiltonian …

[HTML][HTML] Symmetries, integrals and hierarchies of new (3+ 1)-dimensional bi-Hamiltonian systems of Monge–Ampere type

MB Sheftel, D Yazıcı - Journal of Geometry and Physics, 2019 - Elsevier
We study point symmetries, the corresponding conserved densities and hierarchies of four
new bi-Hamiltonian heavenly systems in 3+ 1 dimensions which we discovered recently. We …

Геометричні структури на орбітах петельних груп дифеоморфізмів та асоційовані інтегровні гамільтонові системи, небесного” типу. І

OE Hentosh, YA Prykarpatskyy… - Ukrains' kyi …, 2022 - umj.imath.kiev.ua
A review of differential-geometric and Lie-algebraic approaches to the study of a broad class
of nonlinear integrable differential systems of “heavenly” type associated with Hamiltonian …

[PDF][PDF] Book of Abstracts & Book of Programme

B AKKUŞ, GS DOĞAN, E GÜDEKLİ, D SOFUOĞLU… - 2023 - researchgate.net
Değerli katkılarından dolayı kongrenin Bilim Kurulu Başkanı Prof. Dr. F. Ömer İLDAY'a ve
bilim kurulu üyelerine, Danışma Kurulu Başkanı Prof. Dr. Bülent AKINOĞLU ile …

ОПЕРАТОРЫ РЕКУРСИИ И ИЕРАРХИИ НОВЫХ (3+ 1)-МЕРНЫХ БИ-ГАМИЛЬТОНОВЫХ СИСТЕМ

МБ Шефтель, Д Языджи - НЕКОТОРЫЕ АКТУАЛЬНЫЕ ПРОБЛЕМЫ …, 2020 - elibrary.ru
ОПЕРАТОРЫ РЕКУРСИИ И ИЕРАРХИИ НОВЫХ (3+1)-МЕРНЫХ БИ-ГАМИЛЬТОНОВЫХ
СИСТЕМ КОРЗИНА ПОИСК НАВИГАТОР ЖУРНАЛЫ КНИГИ ПАТЕНТЫ ПОИСК АВТОРЫ …

Classical MA Buhl Problem, Its Pfeiffer–Sato Solutions, and the Classical Lagrange–D'Alembert Principle for the Integrable Heavenly-Type Nonlinear Equations

YA Prykarpatskyy, AM Samoilenko - Ukrainian Mathematical Journal, 2018 - Springer
The survey is devoted to old and recent investigations of the classical MA Buhl problem of
description of the compatible linear vector field equations and their general Pfeiffer and …

[引用][C] (2+ 1)-dimensional bi-Hamiltonian system obtained from symmetry reduction of (3+ 1)-dimensional Hirota type equation

D Yazıcı - AIP Conference Proceedings, 2019 - AIP Publishing LLC