Vladimir Zakharov, Donald Resio, and Andrei Pushkarev Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA Lebedev Physical Institute RAS, Leninsky 53, Moscow 119991, Russia Novosibirsk State University, Novosibirsk, 630090, Russia Waves and Solitons LLC, 1719 W. Marlette Ave., Phoenix, AZ 85015, USA Taylor Engineering Research Institute, University of North Florida Correspon...

Adding explicit mass terms for the spin 2 and spin 3/2 field of N = 1 anti-de Sitter supergravity, the limit M → 0 for these mass terms is smooth: there is no van DamVeltman-Zakharov mass discontinuity in the propagators when the cosmological constant is non-vanishing.

The two-dimensional Zakharov system is shown to have a unique global solution for data without finite energy if the L-norm of the Schrödinger part is small enough. The proof uses a refined I-method originally initiated by Colliander, Keel, Staffilani, Takaoka and Tao. A polynomial growth bound for the solution is also given.

The soliton solution of the integrable coupled nonlinear Schrödinger equation (NLS) of Manakov type is investigated by using Zakharov-Shabat (ZS) scheme. We get the bright N-solitons solution by solving the integrable uncoupled NLS of Manakov type. We also find that there is an elastic collision of the bright N-solitons. [email protected] [email protected] 1

in this manuscript a new method is introduced for solving fractional differential equations. the fractional derivative is described in the caputo sense. the main idea is to use fractional-order legendre wavelets and operational matrix of fractional-order integration. first the fractional-order legendre wavelets (flws) are presented. then a family of piecewise functions is proposed, based on whi...

By using bifurcation theory of planar ordinary differential‎ ‎equations all different bounded travelling wave solutions of the‎ ‎Generalized Zakharov equation are classified in different‎ ‎parametric regions‎. ‎In each of these parametric regions‎ ‎the exact explicit parametric‎ representation of all solitary‎, ‎kink (anti kink) and‎ ‎periodic wave solutions as well as their numerical simulatio...

Vanya Darakchieva, A. Boosalis, A. A. Zakharov, T. Hofmann, M. Schubert, T. E. Tiwald, Tihomir Iakimov, Remigijus Vasiliauskas and Rositsa Yakimova, Large-area microfocal spectroscopic ellipsometry mapping of thickness and electronic properties of epitaxial graphene on Siand C-face of 3C-SiC(111), 2013, Applied Physics Letters, (102), 21, 213116. http://dx.doi.org/10.1063/1.4808379 Copyright: A...

In this paper, we study the generalized Zakharov equations with perspective different from those done previously, namely, by determining its symmetry generators, constructing some conservation laws and then use the associations between these to attain a double reduction of the corresponding differential equations leading to two travelling wave solutions.