Results 21 to 30 of about 44,082 (308)
Open Physics, 2017 Modelling of physical systems mathematically, produces nonlinear evolution equations. Most of the physical systems in nature are intrinsically nonlinear, therefore modelling such systems mathematically leads us to nonlinear evolution equations.
Tasbozan Orkun +3 more
doaj +1 more source
On a Nonlinear Degenerate Evolution Equation with Nonlinear Boundary Damping [PDF]
Journal of Applied Mathematics, 2015 This paper deals essentially with a nonlinear degenerate evolution equation of the formKu″-Δu+∑j=1nbj∂u′/∂xj+uσu=0supplemented with nonlinear boundary conditions of Neumann type given by∂u/∂ν+h·, u′=0. Under suitable conditions the existence and uniqueness of solutions are shown and that the boundary damping produces a uniform global stability of the ...
Lourêdo, A. T. +2 more
openaire +4 more sources
Results in Physics, 2016 We consider the generalized fifth-order KdV type nonlinear evolution equation with variable coefficients. The system technique has been applied rigorously in order to find new exact solutions of the considered equations.
Hyunsoo Kim, Sunmi Lee
doaj +1 more source
Superposition in Nonlinear Wave and Evolution Equations [PDF]
International Journal of Theoretical Physics, 2006 Real and bounded elliptic solutions suitable for applying the Khare-Sukhatme superposition procedure are presented and used to generate superposition solutions of the generalized modified Kadomtsev-Petviashvili equation (gmKPE) and the nonlinear cubic-quintic Schroedinger equation (NLCQSE).
Schürmann, H. W. +2 more
openaire +2 more sources
Journal of Applied Mathematics, 2013 A good idea of finding the exact solutions of the nonlinear evolution equations is introduced. The idea is that the exact solutions of the elliptic-like equations are derived using the simplest equation method and the modified simplest equation method ...
Yun-Mei Zhao, Ying-Hui He, Yao Long
doaj +1 more source
, 2010 The extended tanh-function expansion method for finding solutions to nonlinear evolution equations delivers solutions in a straightforward manner and in a neat and helpful form.
Parkes, E.J.
core +1 more source
Partial Differential Equations in Applied Mathematics, 2023 Fractional nonlinear evolution equations are mathematical representations used to explain a wide range of complex phenomena occurring in nature. By incorporating fractional order viscoelasticity, these equations can accurately depict the intricate ...
Sujoy Devnath +2 more
doaj +1 more source
, 2010 The 'tanh-coth expansion method' for finding solitary travelling-wave solutions to nonlinear evolution equations has been used extensively in the literature. It is a natural extension to the basic tanh-function expansion method which was developed in the
Parkes, E.J.
core +1 more source
Evolution equation for nonlinear Lucassen waves [PDF]
The Journal of the Acoustical Society of America, 2019 A nonlinear, fractional, surface-wave equation was developed recently by Kappler et al. [Phys. Rev. Fluids 2, 114804 (2017)] for propagation along an elastic interface coupled to a viscous incompressible medium. Linear theory for attenuation and dispersion of such a wave was developed originally by Lucassen [Trans. Faraday Soc.
Blake E. Simon +2 more
openaire +1 more source
Journal of Applied Mathematics, 2013 In view of the traditional numerical method to solve the nonlinear equations exist is sensitive to initial value and the higher accuracy of defects. This paper presents an invasive weed optimization (IWO) algorithm which has population diversity with the
Yongquan Zhou, Qifang Luo, Huan Chen
doaj +1 more source