Results 21 to 30 of about 987,859 (318)

On a Nonlinear Degenerate Evolution Equation with Nonlinear Boundary Damping

open access: yesJournal of Applied Mathematics, 2015
This paper deals essentially with a nonlinear degenerate evolution equation of the form Ku″-Δu+∑j=1nbj∂u′/∂xj+uσu=0 supplemented with nonlinear boundary conditions of Neumann type given by ∂u/∂ν+h·, u′=0.
A. T. Lourêdo   +2 more
doaj   +1 more source

The closed form solutions of simplified MCH equation and third extended fifth order nonlinear equation

open access: yesPropulsion and Power Research, 2019
The investigation of closed form solutions for nonlinear evolution equations (NLEEs) is being an attractive subject in the different branches of mathematical and physical sciences. In this article, the enhanced (G′/G)-expansion method has been applied to
A.K.M. Kazi Sazzad Hossain   +2 more
doaj   +1 more source

Application of Generalized Logistic Function to Travelling Wave Solutions for a Class of Nonlinear Evolution Equations

open access: yesMathematics, 2022
The generalized Logistic function that solves a first-order nonlinear ODE with an arbitrary positive power term of the dependent variable is introduced in this paper, by means of which the traveling wave solutions of a class of nonlinear evolution ...
Lingxiao Li   +2 more
doaj   +1 more source

The Riccati Equation Mapping Method for Solving Nonlinear Partial Differential Equations in Mathematical Physics

open access: yesWalailak Journal of Science and Technology, 2013
In this article, many new exact solutions of the (2+1)-dimensional nonlinear Boussinesq-Kadomtsev-Petviashvili equation and the (1+1)-dimensional nonlinear heat conduction equation are constructed using the Riccati equation mapping method.
Elsayed Mohamed Elsayed ZAYED   +1 more
doaj   +1 more source

White noise theory and general improved Kudryashov method for stochastic nonlinear evolution equations with conformable derivatives

open access: yesAdvances in Difference Equations, 2020
The aim of this work is to investigate the Wick-type stochastic nonlinear evolution equations with conformable derivatives. The general Kudryashov method is improved by a new auxiliary equation.
Abd-Allah Hyder
doaj   +1 more source

On modelling wave motion in microstructured solids; pp. 241–246 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2009
The Mindlin-type model is used for describing the longitudinal deformation waves in microstructured solids. The evolution equation (one-wave equation) is derived for the hierarchical governing equation (two-wave equation) in the nonlinear case using the ...
Merle Randrüüt   +2 more
doaj   +1 more source

Vortex solitons in dispersive nonlinear Kerr type media

open access: yes, 2005
We have investigated the nonlinear amplitude vector equation governing the evolution of optical pulses in optical and UV region. We are normalizing this equation for the cases of different and equal transverse and longitudinal size of optical pulses, of ...
Dakova, D. Y.   +4 more
core   +1 more source

Propagation of solitons of the Derivative Nonlinear Schrodinger equation in a plasma with fluctuating density [PDF]

open access: yes, 2002
The propagation of quasi-parallel nonlinear small-amplitude magnetohydrodynamic waves in a cold Hall plasma with fluctuating density is studied. The density is assumed to be a homogeneous random function of one spatial variable.
Ruderman, M.S.
core   +1 more source

Integrability, breather, rogue wave, lump, lump-multi-stripe, and lump-multi-soliton solutions of a (3 + 1)-dimensional nonlinear evolution equation

open access: yesThe Physics of Fluids
In this article, we consider a new (3 + 1)-dimensional evolution equation, which can be used to interpret the propagation of nonlinear waves in the oceans and seas.
U. Mandal, Amiya Das, Wen-Xiu Ma
semanticscholar   +1 more source

Fourth Order Nonlinear Evolution Equation For Interfacial Gravity Waves In The Presence Of Air Flowing Over Water And A Basic Current Shear

open access: yesInternational Journal of Applied Mechanics and Engineering, 2015
A fourth order nonlinear evolution equation, which is a good starting point for the study of nonlinear water waves as first pointed out by Dysthe (1979) is derived for gravity waves propagating at the interface of two superposed fluids of infinite depth ...
D.P. Majumder, A.K. Dhar
doaj   +1 more source

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