Results 261 to 270 of about 1,407,788 (320)

Construction of nonlinear differential equations for description of propagation pulses in optical fiber

Optik (Stuttgart), 2019
We present a few of higher-order partial differential equations which can be used for description of propagation pulses in optical fibers. The main criterion for the construction of equations was the presence of soliton solutions of a certain form. Using
N. Kudryashov
semanticscholar   +1 more source

Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel

Chaos, Solitons & Fractals, 2019
In this paper we are established the existence of positive solutions (EPS) and the Hyers-Ulam (HU) stability of a general class of nonlinear Atangana-Baleanu-Caputo (ABC) fractional differential equations (FDEs) with singularity and nonlinear p-Laplacian
Aziz Khan, H. Khan, J. F. Gómez‐Aguilar, T. Abdeljawad   +3 more
semanticscholar   +1 more source

Differential Equations with Bistable Nonlinearity

Ukrainian Mathematical Journal, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Samoilenko, A. M., Nizhnik, I. L.
openaire   +2 more sources

Nonlinear Differential Equations

2014
We now turn our attention to the initial-value problem for a nonlinear differential equation of the form $$ \dot{x}\left( t \right) = f\left( {t,x\left( t \right)} \right),\quad x\left( \tau \right) = \xi ,\quad \left( {\tau ,\xi } \right) \in J \times G, $$ where \( J \subset {\mathbb{R}} \) is an interval, G is a non-empty open subset of ...
Hartmut Logemann, Eugene P. Ryan
openaire   +1 more source

Differential Identities for Nonlinear Partial Differential Equations

Journal of Mathematical Sciences, 2016
Summary: We obtain new algebraic analytic presentations for solutions and coefficients of nonlinear second order differential equations and systems of such equations.
Anikonov, Yu. E., Neshchadim, M. V.
openaire   +1 more source

Application of new Kudryashov method to various nonlinear partial differential equations

Optical and quantum electronics, 2022
S. Malik, M. S. Hashemi, S Kumar, H. Rezazadeh, W. Mahmoud, M. Osman   +5 more
semanticscholar   +1 more source

Nonlinear Differential Equations

1997
Traditionally all the macroscopic phenomena observed in nature have been studied via solutions of differential equations which are described by smooth and continuous curves. This approach works very well for a class of problem like the planetary motion where the orbits are regular geometric objects (namely, ellipsi).
openaire   +1 more source

Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types

Nonlinear dynamics, 2021
Xing Lü, Sijia Chen
semanticscholar   +1 more source

Nonlinear Differential Equations

2016
This chapter explicitly discusses nonlinear systems of ODE using linear approximation methods. Each system has equilibrium points associated with it and an related linear system of ODE governed by the linear dynamics determined by the Jacobian at the given equilibrium.
openaire   +1 more source

Nonlinear Ordinary Differential Equations

2007
Abstract This is a thoroughly updated and expanded 4th edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. Including numerous worked examples and diagrams, further exercises have been incorporated into the text and answers are provided at the back of the book.
D W Jordan, P Smith
openaire   +1 more source