Results 111 to 120 of about 239,562 (315)

A note on exp-function method combined with complex transform method applied to fractional differential equations

Advances in Nonlinear Analysis, 2015
In this article, the fractional derivatives in the sense of modified Riemann–Liouville and the exp-function method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional Liouville ...
Guner Ozkan, Bekir Ahmet, Bilgil Halis
doaj   +1 more source

Soliton equations: admitted solutions and invariances via B\"acklund transformations [PDF]

Open Communications in Nonlinear Mathematical Physics
A couple of applications of B\"acklund transformations in the study of nonlinear evolution equations is here given. Specifically, we are concerned about third order nonlinear evolution equations.
Sandra Carillo, Cornelia Schiebold
doaj   +1 more source

Optimization of the Production of Rubber Compounds Using Mathematical Models

Advanced Engineering Materials, EarlyView.
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, Andreas Limper, Ulrich Giese, Carlos Lucke, Mario Beiner, Christoph Gögelein, Lisa Leuchtenberger‐Engel, Christian Hopmann   +7 more
wiley   +1 more source

The Nonlinear Schrödinger Equation Derived From the Fifth-Order Korteweg–de Vries Equation Using Multiple Scales Method

International Journal of Differential Equations
The mathematical models of problems that arise in many branches of science are nonlinear equations of evolution (NLEE). For this reason, NLEE have served as a language in formulating many engineering and scientific problems.
Murat Koparan
doaj   +1 more source

Nonlinear Equation Solver with MATLAB Graphical User Interface

Journal of Computing Research and Innovation
Nonlinear systems of equations, which is common in scientific and engineering fields, pose a significant difficulty because they may have numerous solutions and are complicated to be numerically solved.
Nur Idalisa Norddin, Nurul Hafawati Fadhilah, Muhammad Azri Azman Shah, Nurul Hajar Mohd Yusoff, Nur Intan Syafinaz Ahmad   +4 more
doaj   +1 more source

On 2nd-order fully-nonlinear equations with links to 3rd-order fully-nonlinear equations [PDF]

Open Communications in Nonlinear Mathematical Physics
We derive the general conditions for fully-nonlinear symmetry-integrable second-order evolution equations and their first-order recursion operators. We then apply the established Propositions to find links between a class of fully-nonlinear third-order ...
Marianna Euler, Norbert Euler
doaj   +1 more source

On the solutions of a nonlinear Volterra equation

Journal of Mathematical Analysis and Applications, 1972
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)| < ∞.
openaire   +1 more source

On the almost sure running maxima of solutions of affine stochastic functional differential equations

, 2010
This paper studies the large fluctuations of solutions of scalar and finite-dimensional affine stochastic functional differential equations with finite memory as well as related nonlinear equations.
Wu, H., Appleby, John A.D., Mao, Xuerong
core   +1 more source

Workflow for Design of Experiments‐Based Modeling of Species Transport and Growth Kinetics in GaN Hydride Vapor Phase Epitaxy

Advanced Engineering Materials, EarlyView.
A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič, G. Lukin, H. Torkashvand, A. Kerschbaum, M. Müller, S. Besendörfer, J. Heitmann, J. Friedrich   +7 more
wiley   +1 more source

Equations for nonlinear diffusion

Lietuvos Matematikos Rinkinys, 2010
The diffusion is the result of Brownian movement and occurs with a finite velocity. We presented the nonlinear diffusion equation, with diffusion coefficient directly proportional to the impurities concentration.
Arvydas Juozapas Janavičius
doaj   +1 more source