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.

*Correspondence: [email protected] Department of Mathematics, Huaihua University, Huaihua, 418008, China Abstract In this paper, we consider the initial value problem for a two-dimensional generalized Zakharov system with quantum effects. We prove the existence and uniqueness of global smooth solutions to the initial value problem in the Sobolev space through making a priori integral estimates ...

We prove the local well-posedness of the three-dimensional Zakharov-Kuznetsov equation ∂tu+∆∂xu+u∂xu = 0 in the Sobolev spaces Hs(R3), s > 1, as well as in the Besov space B 2 (R 3). The proof is based on a sharp maximal function estimate in time-weighted spaces.

NUCLEAR-MEDIUM MODIFICATION OF THE ρ(1S)AND ρ(2S)-MESONS IN COHERENT PHOTOAND ELECTROPRODUCTION: COUPLED CHANNEL ANALYSIS N.N. Nikolaev, J. Speth and B.G. Zakharov Institut für Kernphysik, Forschungszentrum Jülich, D-52425 Jülich, Germany Landau Institute for Theoretical Physics, GSP-1, 117940, Kosygina Str. 2, 117334 Moscow, Russia

We apply an analogue of the Zakharov-Shabat dressing method to obtain infinite matrix solutions to the Toda lattice hierarchy. Using an operator transformation we convert some of these into solutions in terms of integral operators and Fredholm determinants. Others are converted into a class of operator solutions to the l-periodic Toda hierarchy.

We describe the direct experimental measurement of the transverse propagation velocities of dark spatial solitons. Good agreement is obtained from a comparison of the velocities measured experimentally and the velocities predicted by the two-dimensional theory of Zakharov and Shabat [Sov. Phys. JETP 37, 823 (1973)].

We derive a determinant formula for the WKB exponential of singularly perturbed Zakharov-Shabat system that corresponds to the semiclassical (zero dispersion) limit of the focusing Nonlinear Schrödinger equation. The derivation is based on the RiemannHilbert Problem (RHP) representation of the WKB exponential. We also prove its independence of the branchpoints of the corresponding hyperelliptic...