Results 21 to 30 of about 5,063,540 (351)

Soliton Resolution for the Derivative Nonlinear Schrödinger Equation [PDF]

open access: yes, 2017
We study the derivative nonlinear Schrödinger equation for generic initial data in a weighted Sobolev space that can support bright solitons (but exclude spectral singularities).
R. Jenkins   +3 more
semanticscholar   +1 more source

Local convergence of some high order iterative methods based on the decomposition technique using only the first derivative [PDF]

open access: yesSurveys in Mathematics and its Applications, 2017
We present a local convergence analysis of some high order iterative methods based on the decomposition technique using only the first derivative for solving equations in order to approximate a solution of a nonlinear equation.
Ioannis K. Argyros, Santhosh George
doaj  

Local Convergence of Exquerro-Hernandez Method

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2016
Local convergence of Ezquerro-Hernandez iteration is investigated in the setting of finite dimensional spaces. A procedure to estimate the local convergence radius for this iteration is proposed.
Măruşter Ştefan
doaj   +1 more source

Extending the Applicability of Two-Step Solvers for Solving Equations

open access: yesMathematics, 2019
We present a local convergence of two-step solvers for solving nonlinear operator equations under the generalized Lipschitz conditions for the first- and second-order derivatives and for the first order divided differences.
Ioannis K. Argyros, Stepan Shakhno
doaj   +1 more source

Darboux transformations and global solutions for a nonlocal derivative nonlinear Schrödinger equation [PDF]

open access: yesCommunications in nonlinear science & numerical simulation, 2016
A nonlocal derivative nonlinear Schrodinger equation is discussed. By constructing its Darboux transformations of degree 2n, the explicit expressions of new solutions are derived from zero seed solutions.
Zixiang Zhou
semanticscholar   +1 more source

On solvability of a mixed value problem for nonlinear partial differential equation of higher order

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013
The questions of one valued generalized solvability of mixed value problem for nonlinear partial differential equation with the parabolic operator of arbitrary natural power are studied. The separation of variables is used.
Tursun K Yuldashev
doaj   +1 more source

The extended Fan’s sub-equation method and its application to nonlinear Schrödinger equation with saturable nonlinearity

open access: yesResults in Physics, 2023
This article discusses the saturable nonlinear Schrödinger equation, which is a key equation in the study of condensed matter physics, plasma physics, and nonlinear optics.
Romana Ashraf   +4 more
doaj   +1 more source

KAM for the nonlinear beam equation [PDF]

open access: yes, 2016
In this paper we prove a KAM theorem for small-amplitude solutions of the non linear beam equation on the d-dimensional torus $$u_{tt}+\Delta^2 u+m u + \partial_u G(x,u)=0, \quad t \in {\mathbb{R}}, x \in {\mathbb{T}^d}, \quad (*)$$utt+Δ2u+mu+∂uG(x,u)=0 ...
L. Eliasson   +2 more
semanticscholar   +1 more source

Existence of solution to a local fractional nonlinear differential equation [PDF]

open access: yesJournal of Computational and Applied Mathematics, 2016
We prove existence of solution to a local fractional nonlinear differential equation with initial condition. For that we introduce the notion of tube solution.
Benaoumeur Bayour, Delfim F. M. Torres
semanticscholar   +1 more source

Structural instability impairs function of the UDP‐xylose synthase 1 Ile181Asn variant associated with short‐stature genetic syndrome in humans

open access: yesFEBS Letters, EarlyView.
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li   +2 more
wiley   +1 more source

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