Results 31 to 40 of about 238,845 (376)

Classification of Exact Solutions for Some Nonlinear Partial Differential Equations with Generalized Evolution

open access: yesAbstract and Applied Analysis, 2012
We obtain the classification of exact solutions, including soliton, rational, and elliptic solutions, to the one-dimensional general improved Camassa Holm KP equation and KdV equation by the complete discrimination system for polynomial method.
Yusuf Pandir   +3 more
doaj   +1 more source

Numerical Solution of Elliptic Partial Differential Equation: Method of Lines and Crank-Nicholson Method

open access: yesPan-American Journal of Mathematics
The method of lines (MOL) is a solution procedure for solving partial differential equation (PDE) and the Crank-Nicholson method (CNM) is an implicit finite difference method, used to solve the elliptic equation and similar partial differential equations
Md Roknujjaman   +2 more
doaj   +1 more source

Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]

open access: yes, 2005
Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE
core   +1 more source

Lectures on Elliptic Partial Differential Equations

open access: yes, 2018
The volume develops several basic classical topics of the qualitative theory of elliptic partial differential equations and calculus of variations, including recent contributions to partial regularity for systems and the theory of viscosity solutions. The content is divided into the following five chapters: I.
Ambrosio, Luigi   +2 more
openaire   +2 more sources

Searching for traveling wave solutions of nonlinear evolution equations in mathematical physics

open access: yesAdvances in Difference Equations, 2018
This paper deals with the analytical solutions for two models of special interest in mathematical physics, namely the ( 2 + 1 ) $(2+1)$ -dimensional generalized Calogero-Bogoyavlenskii-Schiff equation and the ( 3 + 1 ) $(3+1)$ -dimensional generalized ...
Bo Huang, Shaofen Xie
doaj   +1 more source

Further results about the exact solutions of conformable space–time fractional Boussinesq equation (FBE) and breaking soliton (Calogero) equation

open access: yesResults in Physics, 2022
Seeking for the exact solutions of fractional nonlinear partial differential equations (FNPDE) has penetrated into almost every discipline of the natural, engineering, mathematics, and social sciences.
Hongyu Chen, Qinghao Zhu, Jianming Qi
doaj   +1 more source

Algebraic computational methods for solving three nonlinear vital models fractional in mathematical physics

open access: yesOpen Physics, 2021
This research paper uses a direct algebraic computational scheme to construct the Jacobi elliptic solutions based on the conformal fractional derivatives for nonlinear partial fractional differential equations (NPFDEs). Three vital models in mathematical
Gepreel Khaled A., Mahdy Amr M. S.
doaj   +1 more source

Analysis of Hamilton-Jacobi-Bellman equations arising in stochastic singular control [PDF]

open access: yes, 2011
We study the partial differential equation max{Lu - f, H(Du)}=0 where u is the unknown function, L is a second-order elliptic operator, f is a given smooth function and H is a convex function.
Hynd, Ryan
core   +1 more source

Cloaking for a quasi-linear elliptic partial differential equation

open access: yes, 2017
In this article we consider cloaking for a quasi-linear elliptic partial differential equation of divergence type defined on a bounded domain in $\mathbb{R}^N$ for $N=2,3$.
Brown, André EX   +11 more
core   +8 more sources

Accelerated Progression of Gait Impairment in Parkinson's Disease and REM Sleep Without Atonia

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective People with Parkinson's disease (PD) and rapid eye movement (REM) sleep without atonia (RSWA) often have more severe gait disturbances compared to PD without RSWA. The association between the presence and expression of RSWA and the rate of progression of gait impairment in PD is unknown.
Sommer L. Amundsen‐Huffmaster   +11 more
wiley   +1 more source

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