Results 101 to 110 of about 260,232 (317)
The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions
The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS ...
Shoukry Ibrahim Atia El-Ganaini
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A Class of Nonlinear Schrödinger Equations with Concentrated Nonlinearity
The authors of this interesting paper consider the one-dimensional nonlinear Schrödinger equation with a nonlinearity concentrated in a finite number of points. The Schrödinger equation has the form: \[ i(\partial /\partial t)\psi (t)=-\triangle \psi (t)+\sum_{j=1}^n\alpha _j(t)\delta _{y_j}\psi (t), \quad \psi (0)=\psi _0, \] where \(\delta _{y_j ...
Adami, Riccardo, Teta, Alessandro
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Do not let thermal drift and instrument artifacts deceive high‐temperature nanoindentation results. We compare classical Oliver–Pharr and automatic image recognition analyses across steels and a Ni alloy to quantify these effects. Accounting for artifacts reveals systematic softening with temperature, while Cr and Ni additions boost resistance ...
Velislava Yonkova +2 more
wiley +1 more source
Current Status and Challenges in Data Collection for Aerospace Coatings Deposited by Plasma Spraying
An innovative approach has been integrated into the GRENAT project to optimize plasma spraying and coating performance. Raw materials are accelerated and melted in the plasma generated by torches, creating coatings. Monitoring sensors collect process data which are combined with ex situ characterization data.
Lila Randriamananjara +8 more
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Soliton immersion for nonlinear Schrodinger equation with gravity
One of the developed directions of mathematics is studying of nonlinear differential equations in partial derivatives. Investigation in this area is topical, since the results get the theoretical and practical applications.
Zh. Kh. Zhunussova
doaj
Tangent nonlinear equation in context of fractal fractional operators with nonsingular kernel. [PDF]
Zafar ZUA +3 more
europepmc +1 more source
Solitons for the nonlinear Klein-Gordon equation
In this paper we study existence and orbital stability for solitary waves of the nonlinear Klein-Gordon equation. The energy of these solutions travels as a localized packet, hence they are a particular type of solitons.
Benci, Vieri +4 more
core
Optimization of the Production of Rubber Compounds Using Mathematical Models
Rubber compounds were mixed in a batch internal mixer, and symbolic regression was used to derive mathematical models linking recipe and process parameters to ram path, torque, and mixing quality (incorporation, dispersion, distribution). Subsequent optimization with evolutionary algorithms identified operating conditions that reduce specific energy ...
Anke Bardehle +7 more
wiley +1 more source
The limit of vanishing viscosity for doubly nonlinear parabolic equations
We show that solutions of the doubly nonlinear parabolic equation \begin{equation*} \frac{\partial b(u)}{\partial t} - \epsilon \operatorname{div}(a(\nabla u)) + \operatorname{div}(f(u)) = g \end{equation*} converge in the limit $\epsilon ...
Ales Matas, Jochen Merker
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On the solutions of a nonlinear Volterra equation
Publisher Summary This chapter presents the solutions of a nonlinear Volterra equation. A real nonlinear Volterra equation is given by: where b(t), f(t), g(x) are given real functions. There exists a solution x(t) on 0 ≤ t ≤ ∞. Moreover, under this hypothesis any solution of il) on 0 ≤ t ≤ ∞ satisfies sup |x(t)| < ∞.
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