Results 31 to 40 of about 998,269 (325)
Motion of Curves and Surfaces and Nonlinear Evolution Equations in (2+1) Dimensions
, 1998 It is shown that a class of important integrable nonlinear evolution equations in (2+1) dimensions can be associated with the motion of space curves endowed with an extra spatial variable or equivalently, moving surfaces.
A. K. Danlybaeva +5 more
core +2 more sources
Vortex solitons in dispersive nonlinear Kerr type media
, 2005 We have investigated the nonlinear amplitude vector equation governing the evolution of optical pulses in optical and UV region. We are normalizing this equation for the cases of different and equal transverse and longitudinal size of optical pulses, of ...
Dakova, D. Y. +4 more
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On N-wave type systems and their gauge equivalent
, 2002 The class of nonlinear evolution equations - gauge equivalent to the N-wave equations related to the simple Lie algebra g are derived and analyzed. They are written in terms of the functions S(x,t) satisfying r= rank g nonlinear constraints.
Gerdjikov, Vladimir S. +2 more
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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
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
Alexandria Engineering Journal, 2022 The space–time fractional coupled modified equal-width equation and the coupled Boussinesq equation are a category of fractional partial differential equations, which might be crucial mathematical feathers in nonlinear optics, solid-state physics ...
M. Ayesha Khatun +4 more
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Nonlinear evolution equations for degenerate transverse waves in anisotropic elastic solids
, 2008 Transverse elastic waves behave differently in nonlinear isotropic and anisotropic media. Quadratically nonlinear coupling in the evolution equations for wave amplitudes is not possible in isotropic solids, but such a coupling may occur for certain ...
Andrew N. Norris +4 more
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FEBS Open Bio, EarlyView.Enzymes of the 2‐hydroxyacyl‐CoA lyase group catalyze the condensation of formyl‐CoA with aldehydes or ketones. Thus, by structural adaptation of active sites, practically any pharmaceutically and industrially important 2‐hydroxyacid could be biotechnologically synthesized. Combining crystal structure analysis, active site mutations and kinetic assays,
Michael Zahn +4 more
wiley +1 more source
Journal of Taibah University for Science, 2017 In this article, a variety of solitary wave solutions are observed for microtubules (MTs). We approach the problem by treating the solutions as nonlinear RLC transmission lines and then find exact solutions of Nonlinear Evolution Equations (NLEEs ...
Md. Nur Alam, Md. Mahbub Alam
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KdV-type equations linked via Baecklund transformations: remarks and perspectives
, 2018 Third order nonlinear evolution equations, that is the Korteweg-deVries (KdV), modified Korteweg-deVries (mKdV) equation and other ones are considered: they all are connected via Baecklund transformations.
Carillo, Sandra
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