Results 81 to 90 of about 2,392,564 (201)

Soliton immersion for nonlinear Schrodinger equation with gravity

Вестник КазНУ. Серия математика, механика, информатика, 2016
One of the developed directions of mathematics is studying of nonlinear differential equations in partial derivatives. Investigation in this area is topical, since the results get the theoretical and practical applications.
Zh. Kh. Zhunussova
doaj  

On nonlinear evolution equation of second order in Banach spaces

Open Mathematics, 2018
Here we study the existence of a solution and also the behavior of the existing solution of the abstract nonlinear differential equation of second order that, in particular, is the nonlinear hyperbolic equation with nonlinear main parts, and in the ...
Soltanov Kamal N.
doaj   +1 more source

Nonlinear Stark--Wannier Equation [PDF]

SIAM Journal on Mathematical Analysis, 2018
27 pages, 2 ...
openaire   +4 more sources

On Darboux transformations for the derivative nonlinear Schrödinger equation [PDF]

, 2014
We consider Darboux transformations for the derivative nonlinear Schrödinger equation. A new theorem for Darboux transformations of operators with no derivative term are presented and proved.
Yılmaz, Halis, Yilmaz, Halis, Nimmo, Jonathan J.C.   +2 more
core   +1 more source

Unique solvability of initial-boundary-value problem for second order equations of Kirchhoff type with variable exponents of nonlinearity

Математичні Студії
The paper devoted to investigation strong solutions of the initial-boundary-value problem for some equations of the Kirchhoff type with avariable exponent of nonlinearity.
O. T. Kholyavka, O. M. Buhrii, T. M. Bokalo, M. M. Bokalo   +3 more
doaj   +1 more source

Solitons for the nonlinear Klein-Gordon equation

, 2010
In this paper we study existence and orbital stability for solitary waves of the nonlinear Klein-Gordon equation. The energy of these solutions travels as a localized packet, hence they are a particular type of solitons.
Benci, Vieri, Micheletti, Anna Maria, BELLAZZINI J, Bellazzini, Jacopo, Bonanno, Claudio   +4 more
core  

Analytical approximate solutions to the nonlinear Fornberg–Whitham type equations via modified variational iteration method

Partial Differential Equations in Applied Mathematics
In this paper, we utilize the modified variational iteration method introduced by Abassy et al. for obtaining the analytical approximate solutions of the nonlinear Fornberg–Whitham equation and modified nonlinear Fornberg–Whitham equation.
Md. Asaduzzaman, Faruk Özger, Adem Kilicman   +2 more
doaj   +1 more source

Convergence of a high-order compact finite difference scheme for a nonlinear Black-Scholes equation [PDF]

A high-order compact finite difference scheme for a fully nonlinear parabolic differential equation is analyzed. The equation arises in the modeling of option prices in financial markets with transaction costs.
Michel Fournié, Ansgar Jüngel, Bertram Düring   +2 more
core  

A Class of Nonlinear Schrödinger Equations with Concentrated Nonlinearity

Journal of Functional Analysis, 2001
The authors of this interesting paper consider the one-dimensional nonlinear Schrödinger equation with a nonlinearity concentrated in a finite number of points. The Schrödinger equation has the form: \[ i(\partial /\partial t)\psi (t)=-\triangle \psi (t)+\sum_{j=1}^n\alpha _j(t)\delta _{y_j}\psi (t), \quad \psi (0)=\psi _0, \] where \(\delta _{y_j ...
Adami, Riccardo, Teta, Alessandro
openaire   +3 more sources

On the Local Convergence of a Third Order Family of Iterative Processes

Algorithms, 2015
Efficiency is generally the most important aspect to take into account when choosing an iterative method to approximate a solution of an equation, but is not the only aspect to consider in the iterative process.
M. A. Hernández-Verón, N. Romero
doaj   +1 more source