Results 21 to 30 of about 3,812 (235)
Results in Physics, 2022 The optical solitons of the generalized third-order nonlinear Schrödinger’s equation are investigated by Liu et al. (2022). In this letter, we propose a new one-step method namely the direct mapping method for the first time to study it.
Kang-Jia Wang
doaj +1 more source
Frontiers in Physics, 2020 In this paper Extrapolated Stabilized Explicit Runge-Kutta methods (ESERK) are proposed to solve nonlinear partial differential equations (PDEs) in right triangles.
Jesús Martín-Vaquero
doaj +1 more source
Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier-Stokes equations with model order reduction [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2020 This work deals with optimal control problems as a strategy to drive bifurcating solution of nonlinear parametrized partial differential equations towards a desired branch. Indeed, for these governing equations, multiple solution configurations can arise
F. Pichi +3 more
semanticscholar +1 more source
Results in Physics, 2020 This article describes the heat and mass transport mechanism for non-Newtonian Cross fluid model past a wedge in the presence of hydrodynamic (MHD) and first order chemical reaction. The effects of hydromagnetic are also incorporated in momentum, thermal,
Muhammad Shahzad +4 more
doaj +1 more source
Asymptotic expansion regularization for inverse source problems in two-dimensional singularly perturbed nonlinear parabolic PDEs [PDF]
CSIAM Transactions on Applied Mathematics, 2022 In this paper, we develop an asymptotic expansion-regularization (AER) method for inverse source problems in two-dimensional nonlinear and nonstationary singularly perturbed partial differential equations (PDEs).
D. Chaikovskii, A. Liubavin, Ye Zhang
semanticscholar +1 more source
Branching process representation for nonlinear first-order conservation PDEs in 1D
, 2023 We show that a large class of 1D first-order conservation PDEs can be probabilistically represented using multi-type branching processes. The representation holds when the initial conditions are linear combinations of negative exponentials. We also show that in some cases, the time of gradient blow up can be identified by studying criticality ...
Hoogendijk, Jochem, Kryven, Ivan
openaire +2 more sources
Mathematics, 2020 We consider a family of nonlinear singularly perturbed PDEs whose coefficients involve a logarithmic dependence in time with confluent Fuchsian singularities that unfold an irregular singularity at the origin and rely on a single perturbation parameter ...
Stephane Malek
doaj +1 more source
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
doaj +1 more source
On microlocal analyticity of solutions of first-order nonlinear PDE [PDF]
Annales de l'Institut Fourier, 2009 We study the microlocal analyticity of solutions u of the nonlinear equation u t
openaire +1 more source
Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 2023 The outcomes of the current study may have broad applications in contemporary industrial technologies, including those involved in blood transportation, lubrication, rigid and random cooling particles of metallic sheets, etc.
Gopinathan Sumathi Mini +2 more
semanticscholar +1 more source