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Soliton solution of the generalized modified BBM equation and the generalized Boussinesq equation

Journal of Ocean Engineering and Science, 2017
In this paper, we obtained the topological soliton solution of the (1+1)-dimensional generalized modified Benjamin–Bona–Mahony equation and shock wave solution of the generalized Boussinesq equation. We get that solutions by using solitary wave ansatz in
Ozkan Guner
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A non-local problem with integral conditions of the first kind for the string vibration equation

Вестник Самарского университета: Естественнонаучная серия, 2023
The article considers a problem with integral nonlocal conditions of the first kind. The main goal is to prove the unique solvability of a nonlocal problem with integral conditions of the 1st kind, if the kernels of these conditions depend not only on ...
Y. S. Buntova
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The solvability conditions for the second order nonlinear differential equation with unbounded coefficients in L2(R)

Қарағанды университетінің хабаршысы. Математика сериясы, 2021
The article deals with the existence of a generalized solution for the second order nonlinear differential equation in an unbounded domain. Intermediate and lower coefficients of the equation depends on the required function and considered smooth.
A.N. Yesbayev, M.N. Ospanov
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Global solvability in a three-dimensional Keller-Segel-Stokes system involving arbitrary superlinear logistic degradation

Advances in Nonlinear Analysis, 2020
The Keller-Segel-Stokes ...
Wang Yulan, Winkler Michael, Xiang Zhaoyin   +2 more
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Classical and Mild Solution of the First Mixed Problem for the Telegraph Equation with a Nonlinear Potential

Известия Иркутского государственного университета: Серия "Математика", 2023
We study the first mixed problem for the telegraph equation with a nonlinear potential in the first quadrant. We pose the Cauchy conditions on the lower base of the domain and the Dirichlet condition on the lateral boundary.
V. I. Korzyuk, J. V. Rudzko
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Weak solution of non-Newtonian polytropic variational inequality in fresh agricultural product supply chain problem

Open Mathematics, 2023
In this article, we study a class of variational inequality problems with non-Newtonian polytropic parabolic operators. We introduce a mapping with an adjustable parameter to control the polytropic term, which exactly meets the conditions of Leray ...
Wu Tao
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Construction of the Approximate Solution of Axisymmetric Problem of the Dynamics of Non-Isothermal Moisture Transfer

Кібернетика та комп'ютерні технології, 2020
Introduction. The calculation of the dynamics of non-isothermal moisture transfer processes in an axisymmetric formulation is essential in the study of wet soils condition around, for example, vertical drains, wells, piles, etc.
Olga Marchenko, Tetiana Samoilenko
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Existence and Multiplicity Results for a Class of Kirchhoff-Type Equations [PDF]

Sahand Communications in Mathematical Analysis
This paper deals with the existence  and  multiplicity  of non-negative generalized solutions for a class of second-order Kirchhoff-type problems. It is important to mention that no asymptotic condition is required in the nonlinear term either at zero or
Mohammad Reza Heidari Tavani
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A problem with nonlocal conditions for a one-dimensional parabolic equation [PDF]

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022
In present paper, we consider a problem with nonlocal conditions for parabolic equation and show that there exists a unique weak solution in Sobolev space.
Alexander B. Beylin, Andrey V. Bogatov, Ludmila S. Pulkina   +2 more
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Generalized initial-boundary problem for the wave equation with mixed derivative

Современная математика: Фундаментальные направления, 2023
We study an initial-boundary problem for a second-order inhomogeneous hyperbolic equation in a half-strip of the plane containing a mixed derivative with constant coefficients and zero or nonzero potential.
V. S. Rykhlov
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