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Auxiliary master equation for nonequilibrium dual-fermion approach [PDF]
Physical Review Letters, 2018 We introduce auxiliary quantum master equation - dual fermion approach (QME-DF) and argue that it presents a convenient way to describe steady-states of correlated impurity systems.
A. Kamenev +11 more
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Abundant different types of soliton solutions for fractional modified KdV equation using auxiliary equation method [PDF]
Scientific ReportsThis research focuses on investigating soliton solutions for the space-time fractional modified third-order Korteweg-de Vries equation using the auxiliary equation method. The Korteweg-de Vries equation is renowned for its application in modeling shallow-
Akhtar Hussain +5 more
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Exact Solutions to Fractional Schrödinger–Hirota Equation Using Auxiliary Equation Method
AxiomsIn this paper, we consider the fractional Schrödinger–Hirota (FSH) equation in the sense of a conformable fractional derivative. Through a traveling wave transformation, we change the FSH equation to an ordinary differential equation.
Guangyuan Tian, Xianji Meng
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Auxiliary Monge–Ampère equations in geometric analysis
Notices of the International Consortium of Chinese Mathematicians, 2023 This is an introduction to a particular class of auxiliary complex Monge-Ampère equations which had been instrumental in $L^\infty$ estimates for fully non-linear equations and various questions in complex geometry. The essential comparison inequalities are reviewed and shown to apply in many contexts. Adapted to symplectic geometry, with the auxiliary
Guo, Bin, Phong, Duong H.
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Mathematics, 2022 In this paper, we use general Riccati equation to construct new solitary wave solutions of the Van der Waals normal form, which is one of the most famous models for natural and industrial granular materials.
Xiaomeng Zhu +3 more
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Fractal and Fractional, 2023 The Korteweg–de Vries (KDV) equation is one of the most well-known models in nonlinear physics, such as fluid physics, plasma, and ocean engineering. It is very important to obtain the exact solutions of this model in the process of studying these topics.
Guojiang Wu, Yong Guo
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Mathematics, 2023 The KPI equation is one of most well-known nonlinear evolution equations, which was first used to described two-dimensional shallow water wavs. Recently, it has found important applications in fluid mechanics, plasma ion acoustic waves, nonlinear optics,
Feiyun Pei, Guojiang Wu, Yong Guo
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Traveling Wave Optical Solutions for the Generalized Fractional Kundu–Mukherjee–Naskar (gFKMN) Model
Mathematics, 2023 The work considers traveling wave optical solutions for the nonlinear generalized fractional KMN equation. This equation is considered for describing pulse propagation in optical fibers and communication systems using two quite similar approaches, based ...
Yong Tang
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Results in Physics, 2018 In this research, we study new two techniques that called the extended simple equation method and the novel G′G-expansion method. The extended simple equation method depend on the auxiliary equation dϕdξ=α+λϕ+μϕ2 which has three ways for solving depends ...
Mostafa M.A. Khater +2 more
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Solving a nonhomogeneous integral equation with the variable lower limit
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 An nonhomogeneous integral equation with a singular kernel is considered. A feature of the equation under study is the incompressibility of the integral operator.
M.T. Kosmakova +3 more
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