Results 11 to 20 of about 585,491 (281)

Non-stationary Navier–Stokes equations in 2D power cusp domain

Advances in Nonlinear Analysis, 2021
The initial boundary value problem for the non-stationary Navier-Stokes equations is studied in 2D bounded domain with a power cusp singular point O on the boundary. We consider the case where the boundary value has a nonzero flux over the boundary.
Pileckas Konstantin, Raciene Alicija
doaj   +2 more sources

Optical Solutions of Schrödinger Equation Using Extended Sinh–Gordon Equation Expansion Method

Frontiers in Physics, 2020
In this paper, we investigated the non-linear Schrödinger equation (NLS) to extract optical soliton solutions by implementing the extended Sinh–Gordon equation expansion method (ShGEEM).
Amna Irshad, Naveed Ahmed, Umar Khan, Syed Tauseef Mohyud-Din, Ilyas Khan, El-Sayed M. Sherif, El-Sayed M. Sherif   +6 more
doaj   +1 more source

Positive solutions for nonparametric anisotropic singular solutions [PDF]

Opuscula Mathematica
We consider an elliptic equation driven by a nonlinear, nonhomogeneous differential operator with nonstandard growth. The reaction has the combined effects of a singular term and of a "superlinear" perturbation.
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Xueying Sun   +2 more
doaj   +1 more source

Multiple solutions of nonlinear boundary value problems with oscillatory solutions

Mathematical Modelling and Analysis, 2006
We consider two second order autonomous differential equations with critical points, which allow the detection of an exact number of solutions to the Dirichlet boundary value problem.
S. Ogorodnikova, F. Sadyrbaev
doaj   +1 more source

Singular solutions to a quasilinear {ODE}

Advances in Differential Equations, 2005
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DALBONO, Francesca, García Huidobro, M.   +1 more
openaire   +6 more sources

A new two-mode coupled Burgers equation: Conditions for multiple kink solution and singular kink solution to exist

Ain Shams Engineering Journal, 2018
In this paper, we establish new two-mode coupled Burgers’ equations which are introduced to the first time. We derive the multiple kink and singular solutions for new two-mode coupled Burgers’ equation.
H.M. Jaradat, Muhammed Syam, Marwan Alquran, Safwan Al Shara, Khedr M. Abohassn   +4 more
doaj   +1 more source

Singular solutions of thep-Laplace equation [PDF]

Mathematische Annalen, 1986
Correction to the authors' paper [ibid. 275, 599-615 (1986; Zbl 0592.35031)].
Kichenassamy, Satyanad, Véron, Laurent
openaire   +4 more sources

A Nonhomogeneous Boundary Value Problem for Steady State Navier-Stokes Equations in a Multiply-Connected Cusp Domain

Mathematics, 2021
The boundary value problem for the steady Navier–Stokes system is considered in a 2D multiply-connected bounded domain with the boundary having a power cusp singularity at the point O.
Kristina Kaulakytė, Konstantinas Pileckas   +1 more
doaj   +1 more source

Exploration of New Optical Solitons in Magneto-Optical Waveguide with Coupled System of Nonlinear Biswas–Milovic Equation via Kudryashov’s Law Using Extended F-Expansion Method

Mathematics, 2023
Optical soliton solutions in a magneto-optical waveguide and other exact solutions are investigated for the coupled system of the nonlinear Biswas–Milovic equation with Kudryashov’s law using the extended F-expansion method.
Wafaa B. Rabie, Hamdy M. Ahmed, Walid Hamdy   +2 more
doaj   +1 more source

Multiple Solutions of Singular Perturbation Problems [PDF]

, 1972
Under certain conditions on g(x, u) we establish the existence and asymptotic behavior for small ε > 0 of multiple asymptotic solutions of the nonlinear boundary value problem εu" + u’ - g(x,u) = 0, 0 < x < 1, u’(0) - au(0)= A ≥ 0, a > 0, u’(1) + bu(
Cohen, Donald S.
core   +1 more source