Lax pairs, infinite conservation laws, Darboux transformation, bilinear forms and solitonic interactions for a combined Calogero-Bogoyavlenskii-Schiff-type equation

TT Jia, YT Gao, X Yu, LQ Li - Applied Mathematics Letters, 2021 - Elsevier
Abstract Calogero-Bogoyavlenskii-Schiff-type (CBS-type) equations have been used to
describe certain nonlinear phenomena in fluids and plasmas. Under investigation in this …

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 …

Dark and bright solitons for the two-dimensional complex modified Korteweg-de Vries and Maxwell-Bloch system with time-dependent coefficient

G Shaikhova, N Ozat, K Yesmakhanova… - Journal of Physics …, 2018 - iopscience.iop.org
In this work, we present Lax pair for two-dimensional complex modified Korteweg-de Vries
and Maxwell-Bloch (cmKdV-MB) system with the time-dependent coefficient. Dark and bright …

Efficiency and reliability of computational techniques in solving the (2+1)-dimensional equation: a solitary wave classification study

SH Alfalqi, MMA Khater - Optical and Quantum Electronics, 2024 - Springer
In our investigation, we've utilized an advanced computational technique, the modified exp-
ϕ (ζ)-expansion method, to derive precise solitary wave solutions within the (2+ 1) …

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 …

Explicit Solutions of the Nonlinear Schrödinger-Type Equation

A Syzdykova, G Kudaibergenov - … Conference on New Trends in the …, 2023 - Springer
In this work, we focus on the construction of explicit solutions of the nonlinear Schrödinger-
type equation, which has various applications in physics. To obtain different kinds of 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 …