Results 31 to 40 of about 4,854,822 (190)
Advances 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
Journal of Ocean Engineering and Science, 2017 In this paper, we utilize the exp(−φ(ξ))-expansion method to find exact and solitary wave solutions of the generalized Zakharov–Kuznetsov–Benjamin–Bona–Mahony nonlinear evolution equation. The generalized Zakharov–Kuznetsov–Benjamin–Bona–Mahony nonlinear
Aly R. Seadawy +2 more
doaj +1 more source
On modelling wave motion in microstructured solids; pp. 241–246 [PDF]
Proceedings 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
Results in Physics, 2023 This paper is focused on the nonlinear evolution equation in (2+1)-dimensions which is found in different engineering and scientific areas. Many sets of exact soliton solutions of the nonlinear evolution equation in (2+1)-dimensions are presented via two
Khalid K. Ali +5 more
doaj +1 more source
The Scientific World Journal, 2014 This paper presents a new method for solving higher order nonlinear evolution partial differential equations (NPDEs). The method combines quasilinearisation, the Chebyshev spectral collocation method, and bivariate Lagrange interpolation.
S. S. Motsa, V. M. Magagula, P. Sibanda
doaj +1 more source
Results in Physics, 2014 Periodic and soliton solutions are presented for the (1+1)-dimensional classical Boussinesq equation which governs the evolution of nonlinear dispersive long gravity wave traveling in two horizontal directions on shallow water of uniform depth.
Harun-Or- Roshid, Md. Azizur Rahman
doaj +1 more source
Alexandria Engineering Journal, 2020 The mathematical modeling of physical systems is generally governed by evolution equations in nonlinear form. Therefore, it is critical to obtain exact analytical solutions to these equations.
S. Sahoo, S. Saha Ray, M.A. Abdou
doaj +1 more source
Remarks on Nonlinear Evolution Equations
Journal of Mathematical Analysis and Applications, 1996 In the paper fully nonlinear evolution equations \[ {du \over dt} +A(t,u,u) = 0, \quad 0\leq t\leq T,\quad u(0) =\varphi, \] in a Banach space \(X\) are considered. Here \(T>0\), \(A\) is a nonlinear mapping of a subset \(D(A) \subset [0,T] \times X \times X\) into \(X\) and \(\varphi \in X\).
openaire +2 more sources
Nonlinear Evolution Equations and Analyticity. I [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1986 We prove a theorem on abstract nonlinear evolution equations ∂_tu = F(t, u) in a Banach space, which aims at estimating certain families of Liapunov functions for the solutions. The theorem is useful in proving global analyticity (in space variables) of solutions of various partial ...
Kato, Tosio, Masuda, Kyûya
openaire +1 more source
Investigation on breather waves and rogue waves in applied mechanics and physics
Alexandria Engineering Journal, 2021 Nonlinear evolution equation is a research hot spot in the field of science and engineering. Recently, searching for breather and rogue wave solutions to nonlinear evolution equations has become a popular topic in nonlinear mathematical physics.
Xueai Yin +4 more
doaj +1 more source