Results 21 to 30 of about 419,406 (294)
Instability and dynamics of two nonlinearly coupled laser beams in a plasma [PDF]
, 2006 We investigate the nonlinear interaction between two laser beams in a plasma in the weakly nonlinear and relativistic regime. The evolution of the laser beams is governed by two nonlinear Schroedinger equations that are coupled with the slow plasma ...
Dieckmann, M. E. +6 more
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Potentialisations of a class of fully-nonlinear symmetry-integrable evolution equations [PDF]
Open Communications in Nonlinear Mathematical PhysicsWe consider here the class of fully-nonlinear symmetry-integrable third-order evolution equations in 1+1 dimensions that were proposed recently in the journal Open Communications in Nonlinear Mathematical Physics, vol. 2, 216--228 (2022).
Marianna Euler, Norbert Euler
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AIMS Mathematics, 2022 The formula of solution to a nonlinear ODE with an undetermined coefficient and a positive integer power term of dependent variable have been obtained by the transformation of dependent variable and $(\frac{{G'}}{G})$-expansion method.
Lingxiao Li +2 more
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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
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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
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Solitary wave solutions of few nonlinear evolution equations
AIMS Mathematics, 2020 The solitary wave solutions of nonlinear evolution equations, in the recent years is being attractive in the field of physical sciences and engineering.
A. K. M. Kazi Sazzad Hossain +1 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
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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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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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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
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