Results 81 to 90 of about 4,854,822 (190)

On a nonlinear degenerate evolution equation with strong damping

International Journal of Mathematics and Mathematical Sciences, 1992
In this paper we consider the nonlinear degenerate evolution equation with strong damping,(*)      {K(x,t)utt−Δu−Δut+F(u)=0   in   Q=Ω×]0,T[u(x,0)=u0,   (ku′)(x,0)=0   in   Ωu(x,t)=0           on   ∑=Γ×]0,T[where K is a function with K(x,t)≥0, K(x,0)=0 ...
Jorge Ferreira, Ducival Carvalho Pereira   +1 more
doaj   +1 more source

Nonlinear equations of evolution [PDF]

Pacific Journal of Mathematics, 1971
openaire   +2 more sources

Algebraic traveling wave solutions to nonlinear evolution equations

, 2019
In this paper, we employ planar dynamical systems and invariant algebraic curves to characterize all algebraic traveling wave solutions to nonlinear evolution equations. In order to demonstrate the applicability and efficiency of the method, we apply the
Yıldırım, Yakup, Yaşar, Emrullah
core   +1 more source

Nonlinear Evolution Equations without Convexity

Journal of Mathematical Analysis and Applications, 1995
The purpose of this article is to prove an existence result for the Cauchy problem \(x' \in - \partial^- f(x) + F(x)\), \(x(0) = x_0\), \(x_0 \in D (\partial^- f)\), where \(f : \Omega \subset \mathbb{R}^n \to \mathbb{R} \cup \{+ \infty\}\) is a function with \(\psi\)-monotone subdifferential of order 2 such that the mapping \(x \mapsto \text{grad}^- f(
openaire   +2 more sources

Moment Evolution of the Outflow-Rate from Nonlinear Conceptual Reservoirs

, 1996
The temporal evolution of moments of outflow-rate is investigated in a stochastically perturbed nonlinear reservoir due to precipitation. The detailed stochastic behaviour of outflow is obtained from the numerical solution of a nonlinear stochastic ...
Karmeshu, null Karmeshu, Schurz, Henri, H. Schurz   +3 more
core   +1 more source

The Analysis method of Initial value problem of Nonlinear Evolution Equation by means of Numerical Calculation of certain Nonlinear Differential-Difference Equation [PDF]

publisherGenerally, the exact solution method of initial value problem of nonlinear evolution equation is impossible. Therefore the solutions of initial value problem of nonlinear evolution equations are given by numerically calculating certain model ...
山本, 吉範
core   +1 more source

Nonlinear Self-adjointness Of A 2d Generalized Second Order Evolution Equation

, 2015
We study the nonlinear self-adjointness of a general class of quasilinear 2D second order evolution equations which do not possess variational structure. For this purpose, we use the method of Ibragimov, devised and developed recently.
Silva K.A.A., Bozhkov Y.
core   +1 more source

Nonlinear evolution of parallel propagating Alfven wave turbulence via the DNLS equation

, 2005
Nonlinear evolution of Alfven wave turbulence is discussed within the context of the derivative nonlinear Schroedinger equation（DNLS), a subset of the hal1-MHDequation set，which includes quasi-paral1el propagating right- and left-hand polarized Alfven ...
Hada, Tohru, 羽田, 亨, Nariyuki, Yasuhiro, 成行, 泰裕   +3 more
core  

Some exact solutions to the generalized Korteweg–de Vries equation and the system of shallow water wave equations

Nonlinear Analysis, 2013
In this paper, we establish exact solutions for nonlinear evolution equations in mathematical physics. The exp-transform method is proposed to seek solitary solutions, periodic solutions and compaction-like solutions of nonlinear differential equations ...
Ihsan Timuçin Dolapci, Ahmet Yıldırım   +1 more
doaj  

Exact solutions and instability analysis of a fifth-order nonlinear evolution equation exhibiting multi-scale wave structures. [PDF]

Sci Rep
Hasan WM, Ahmed HM, Ahmed AM, Rezk HM, Rabie WB.   +4 more
europepmc   +1 more source