Results 71 to 80 of about 2,627,124 (242)

Localized Dispersive States in Nonlinear Coupled Mode Equations for Light Propagation in Fiber Bragg Gratings. [PDF]

, 2009
Dispersion effects induce new instabilities and dynamics in the weakly nonlinear description of light propagation in fiber Bragg gratings. A new family of dispersive localized pulses that propagate with the group velocity is numerically found, and its ...
Martel Escobar, Carlos, Higuera, María, Carrasco, J.   +2 more
core   +1 more source

Weakly nonlinear hyperbolic differential equation in Hilbert space [PDF]

, 2023
We consider nonlinear perturbations of the hyperbolic equation in the Hilbert space. Necessary and sufficient conditions for the existence of solutions of boundary-value problem for the corresponding equation and iterative procedures for their finding ...
Oleksandr, Pokutnyi
core   +1 more source

Exact solutions of the Biswas-Milovic equation, the ZK(m,n,k) equation and the K(m,n) equation using the generalized Kudryashov method

Open Physics, 2016
In this article, we apply the generalized Kudryashov method for finding exact solutions of three nonlinear partial differential equations (PDEs), namely: the Biswas-Milovic equation with dual-power law nonlinearity; the Zakharov--Kuznetsov equation (ZK(m,
Zayed EL Sayed M.E., Al-Nowehy Abdul-Ghani   +1 more
doaj   +1 more source

Traveling wave solutions of some nonlinear evolution equations

Alexandria Engineering Journal, 2015
In this work, the modified simple equation (MSE) method is used to find exact traveling wave solutions to nonlinear evolution equations (NLEEs) in mathematical physics.
Rafiqul Islam, Kamruzzaman Khan, M. Ali Akbar, Md. Ekramul Islam, Md. Tanjir Ahmed   +4 more
doaj   +1 more source

Nonlinear Schrödinger equation on real hyperbolic spaces

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2009
We consider the Schrödinger equation with no radial assumption on real hyperbolic spaces \mathbb{H}^{n} . We obtain in all dimensions n⩾2 sharp dispersive and Strichartz estimates for a large family of admissible pairs.
Anker, Jean-Philippe, Pierfelice, Vittoria   +1 more
openaire   +2 more sources

Neumann problem on the semi-line for the Burgers equation [PDF]

, 2011
In this article, the Neumann problem on the semi-line for the Burgers equation is considered. The problem is reduced to a nonlinear integral equation in one independent variable, whose unique solution is proven to exist for small time.
Sommacal, Matteo, de Lillo, Silvana
core   +1 more source

New sub-equation method to construct solitons and other solutions for perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in optical fiber materials

Journal of Ocean Engineering and Science, 2019
In a previous work, Zayed and Al-Nowehy have applied the Riccati equation mapping method combined with the generalized extended (G′/G)-expansion method and found new exact solutions of the nonlinear KPP equation.
Elsayed M.E. Zayed, Abdul-Ghani Al-Nowehy, Reham M.A. Shohib   +2 more
doaj   +1 more source

Parabolic Nonlinear Second Order Slip Reynolds Equation: Approximation and Existence [PDF]

, 2007
This work studies an initial boundary value problem for nonlinear degenerate parabolic equation issued from a lubrication slip model. Existence of solutions is established through a semi discrete scheme approximation combined with some a priori&
Ait Hadi, K.
core   +1 more source

New solutions to a category of nonlinear PDEs

Frontiers in Physics
The nonlinear partial differential equations are not only used in many physical models, but also fundamentally applied in the field of nonlinear science. In order to solve certain nonlinear partial differential equation, the extended hyperbolic auxiliary
Bacui Li, Fuzhang Wang
doaj   +1 more source

New Generalized Hyperbolic Functions to Find New Exact Solutions of the Nonlinear Partial Differential Equations

Journal of Mathematics, 2013
We firstly give some new functions called generalized hyperbolic functions. By the using of the generalized hyperbolic functions, new kinds of transformations are defined to discover the exact approximate solutions of nonlinear partial differential ...
Yusuf Pandir, Halime Ulusoy
doaj   +1 more source