Results 31 to 40 of about 17,441,971 (121)

Exponentially accurate solution tracking for nonlinear ODEs, the higher order Stokes phenomenon and double transseries resummation [PDF]

, 2012
We demonstrate the conjunction of new exponential-asymptotic effects in the context of a second order nonlinear ordinary differential equation with a small parameter.
Olde Daalhuis, Adri, Howls, C.J., Olde Daalhuis, A.B., Howls, Chris   +3 more
core   +1 more source

Analysis of External Magnetized Dissipative Thermo-convective Tangent Hyperbolic-micropolar Flow on a Rotating Non-isothermal Cone with Hall Current and Joule Dissipation: Electro-conductive Polymer Spin Coating [PDF]

Journal of Applied and Computational Mechanics
Motivated by spin coating operations for magnetic polymers, a theoretical and numerical study is conducted of nonlinear, steady-state boundary layer flow and heat transfer of an incompressible tangent hyperbolic non-Newtonian micropolar fluid from a ...
S. Abdul Gaffar, O. Bég, T.A. Bég, S. Kuharat, P. Ramesh Reddy   +4 more
doaj   +1 more source

Using the Sharp scheme of higher-order accuracy for solving some nonlinear hyperbolic systems of equations

Numerical Methods and Programming (Vychislitel'nye Metody i Programmirovanie), 2019
Разностная схема Диез повышенного порядка точности, ранее разработанная для решения скалярного одномерного уравнения переноса, с помощью балансно-характеристического подхода распространена на нелинейные системы уравнений мелкой воды и уравнений Эйлера.
openaire   +2 more sources

Conservation Laws, Soliton Dynamics, and Stability in a Nonlinear Schrödinger Equation with Second-Order Spatiotemporal Dispersion

Mathematics
This paper presents the construction of exact wave solutions for the generalized nonlinear Schrödinger equation (NLSE) with second-order spatiotemporal dispersion using the modified exponential rational function method (mERFM).
Naila Nasreen, Ismat Latif, Kashifa Basheer, Muhammad Arshad, Zhaoliang Jiang   +4 more
doaj   +1 more source

Three-dimensional simulation of harmonic up-conversion in a prebunched two-beam free-electron laser

Physical Review Special Topics. Accelerators and Beams, 2010
Three-dimensional simulation of harmonic up-conversion in a free-electron laser amplifier operating simultaneously with two cold and relativistic electron beams with different energy is presented in the steady-state regime.
M. H. Rouhani, B. Maraghechi
doaj   +1 more source

Stability Optimization of Explicit Runge–Kutta Methods with Higher-Order Derivatives

Algorithms
The paper is devoted to the parametric stability optimization of explicit Runge–Kutta methods with higher-order derivatives. The key feature of these methods is the dependence of the coefficients of their stability polynomials on free parameters.
Gerasim V. Krivovichev
doaj   +1 more source

Frequency divider circuit as a chain of unidirectionally coupled generators of neuron-like activity [PDF]

Известия высших учебных заведений: Прикладная нелинейная динамика
The purpose is to investigate the possibility of a chain of unidirectionally coupled radio-frequency oscillators, constructed by means of circuit implementation of modified phase-locked loop equations with a nonlinear coupling function in the form of a ...
Susorov, Maxim Anatolievich, Sysoev, Ilya Vyacheslavovich, Kornilov, Maksim Vyacheslavovich   +2 more
doaj   +1 more source

Conditional Symmetries and Riemann Invariants for Hyperbolic Systems of PDEs [PDF]

, 2007
This paper contains an analysis of rank-k solutions in terms of Riemann invariants, obtained from interrelations between two concepts, that of the symmetry reduction method and of the generalized method of characteristics for first order quasilinear ...
Huard, Benoit, Grundland, A. Michel
core   +1 more source

Exact Traveling Waves and Bifurcation Structure of a Coupled Kudryashov-Type Nonlinear Schrödinger System via the Modified Extended Mapping Method

East European Journal of Physics
This study obtains exact traveling wave solutions and conducts a bifurcation analysis for the coupled (1+1)-dimensional Kudryashov’s equation. This system of nonlinear Schröodinger-type equations models the simultaneous propagation of optical pulses in a
Wafy M. Hasan, Hamdy M. Ahmed, Ahmed M. Ahmed, Haytham M. Rezk, Wafaa B. Rabie   +4 more
doaj   +1 more source

Exploring solutions to the fractional Boiti–Leon–Manna–Pempinelli equation characterizing wave dynamics in incompressible fluids

Partial Differential Equations in Applied Mathematics
In this study, the (3 + 1)-dimensional space-time fractional Boiti–Leon–Manna–Pempinelli (BLMP) equation is investigated utilizing the Kudryashov method (KM) and the modified Kudryashov method (MKM). These two efficient methods are implemented to acquire
A.K. Sahoo, A.K. Gupta
doaj   +1 more source