[HTML][HTML] Phase portraits and new exact traveling wave solutions of the (2+ 1)-dimensional Hirota system

G Shaikhova, B Kutum, A Syzdykova - Results in Physics, 2023 - Elsevier
In this paper, we investigate the (2+ 1)-dimensional Hirota system of equations, which is
essential for modeling physical events since it contains the NLS equation and the cmKdV …

Soliton solutions and traveling wave solutions of the two-dimensional generalized nonlinear Schrödinger equations

C Burdik, G Shaikhova, B Rakhimzhanov - The European Physical …, 2021 - Springer
In this paper, the two-dimensional generalized nonlinear Schrödinger equations are
introduced with the Lax pair. The existence of the Lax pair defines integrability for the partial …

Exact solutions for the (3+ 1)-dimensional Kudryashov-Sinelshchikov equation

GN Shaikhova, BB Kutum, AB Altaybaeva… - Journal of Physics …, 2019 - iopscience.iop.org
Exact solutions for the (3+1)-dimensional Kudryashov-Sinelshchikov equation Page 1
Journal of Physics: Conference Series PAPER • OPEN ACCESS Exact solutions for the (3+1)-dimensional …

Localized wave solutions and their superposition and conversion mechanism for the (2+ 1)-dimensional Hirota's system

YH Liu, JW Zhang - Optik, 2023 - Elsevier
Via Darboux transformation method, breather and rogue wave solutions for the (2+ 1)-
dimensional Hirota's system will be derived. Meanwhile, the dynamic features of those …

Traveling wave solutions for the (3+ 1)-dimensional Davey-Stewartson equations

NS Serikbayev, GN Shaikhova… - Journal of Physics …, 2019 - iopscience.iop.org
In this work, the extended tanh method is used to construct wave solutions for the Davey–
Stewartson equations. The extended tanh method is a powerful solution method for …

[PDF][PDF] Conservation laws for two dimensional nonlinear Schrödinger equation

GT Bekova, GN Shaikhova… - AIP Conference …, 2019 - academia.edu
The nonlinear Schrödinger equation is a well-known partial differential equation, which
provides a successful model in nonlinear optic theory, as well as other applications. The …

Darboux transformation and soliton solution for generalized Konno-Oono equation

G Bekova, G Shaikhova… - Journal of Physics …, 2019 - iopscience.iop.org
In this paper, the generalized Konno-Oono equation is investigated. Using the Lax pair, we
obtain a new Darboux transformation for the dispersionless equation. A soliton solution of …

[引用][C] Traveling wave solutions of two-dimensional nonlinear Schrodinger equation via sine-cosine method

ГН Шайхова, ББ Кутум - Eurasian Physical Technical Journal, 2020 - phtj.buketov.edu.kz
In this work, an analytical study of the two-dimensional nonlinear Schrodinger equation is
presented, namely, the applicability of the sine-cosine method to search for the exact …

Soliton surfaces for complex modified Korteweg–de Vries equation

G Bauyrzhan, K Yesmakhanova… - Journal of Physics …, 2019 - iopscience.iop.org
In mathematics and physics, one of the main tasks is to relate differential geometry and non-
linear differential equations, which means that the study of particular cases of subvarieties …

Dispersionless limit of the Heisenberg ferromagnet equation with self-consistent potential

Z Sagidullayeva, G Nugmanova… - … Conference on New …, 2019 - ui.adsabs.harvard.edu
Dispersionless limit of the Heisenberg ferromagnet equation with self-consistent potential -
NASA/ADS Now on home page ads icon ads Enable full ADS view NASA/ADS Dispersionless …