Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]
, 2009 This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A. +3 more
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Optical solitons and modulation instability analysis to the quadratic-cubic nonlinear Schrödinger equation [PDF]
, 2018 This paper obtains the dark, bright, dark-bright, dark-singular optical and singular soliton solutions to the nonlinear Schrödinger equation with quadratic-cubic nonlinearity (QC-NLSE), which describes the propagation of solitons through optical fibers ...
Yusuf, Abdullahi +3 more
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Advances in Nonlinear AnalysisIn this article, we investigate the initial value problem for the hyperbolic geometric flow equation, which is derived from hyperbolic geometric flow for Riemannian metric.
Wang Yinxia, Wang Yuzhu, Zhao Feiyan
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Efficient high-order finite difference methods for nonlinear Klein–Gordon equations. I: Variants of the phi-four model and the form-I of the nonlinear Klein–Gordon equation [PDF]
, 2015 In this paper, the problem of solving some nonlinear Klein–Gordon equations (KGEs) is considered. Here, we derive different fourth- and sixth-order explicit and implicit algorithms to solve the phi-four equation and the form-I of the nonlinear Klein ...
Queiruga-Dios, Araceli +3 more
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Exact solutions of (3 + 1)-dimensional generalized KP equation arising in physics
Results in Physics, 2017 In this work, we have obtained some exact solutions to (3 + 1)-dimensional generalized KP Equation. The improved tanϕ(ξ)2-expansion method has been introduced to construct the exact solutions of nonlinear evolution equations.
Syed Tauseef Mohyud-Din +3 more
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The problem of dynamic cavitation in nonlinear elasticity [PDF]
, 2012 The notion of singular limiting induced from continuum solutions (slic-solutions) is applied to the problem of cavitation in nonlinear elasticity, in order to re-assess an example of non-uniqueness of entropic weak solutions (with polyconvex energy)
Miroshnikov, Alexey +5 more
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Nonlinear instability in generalized nonlinear phase diffusion equation
, 2003 High-order versions of truncated generalized nonlinear phase diffusion equation of Kuramoto are analyzed. The main common feature of the equations is nonlinear internal energy supply. Numerical solutions are presented for some specific values of equation
Strunin, Dmitry V.
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Soliton solutions to the time-dependent coupled KdV–Burgers’ equation
Advances in Difference Equations, 2019 In this article, the authors apply the Lie symmetry approach and the modified (G′/G) $( G'/G )$-expansion method for seeking the solutions of time-dependent coupled KdV–Burgers equation.
Aisha Alqahtani, Vikas Kumar
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On hyperbolized nonlinear Schredinger type equations
Journal of Physics: Conference Series, 2019 Abstract A nonlinear Schredinger type equation in the case of an unbounded in space operator having, a non-divergent form, is considered. A new approach based on the hyperbolization procedure is suggested. The possibilities of the method proposed are tested.
A.D. Yunakovsky +2 more
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Dynamic Characteristics of Long-span Cable-net Structures
工程科学与技术, 2010 :The long-span cable nets are widely used in practical engineering. For the purpose of providing a basis for anti-wind and anti-earthquake design of this structure, the dynamic characteristics of elliptic hyperbolic paraboloid cable nets were analyzed ...
YANG Li-jun +3 more
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