in this paper, the convergence of zakharov-kuznetsov (zk) equation by homo- topy analysis method (ham) is investigated. a theorem is proved to guarantee the conver- gence of ham and to nd the series solution of this equation via a reliable algorithm.

Abstract In this paper we give a sharper sufficient condition for blow-up of the solution to nonlinear Schrödinger equation with free/Stark/quadratic potential by improving well known Zakharov–Glassey’s method.

I discuss the interplay of infrared sensitivity in large order perturbative expansions with the presence of explicit nonperturbative corrections in the context of heavy quark expansions. The main focus is on inclusive decays and the status of the kinetic energy of the heavy quark. This talk summarizes work done with Braun and Zakharov.

In this paper, the convergence of Zakharov-Kuznetsov (ZK) equation by homotopy analysis method (HAM) is investigated. A theorem is proved to guarantee the convergence of HAM and to find the series solution of this equation via a reliable algorithm. c ⃝ 2014 IAUCTB. All rights reserved.

In this article we prove that the wave operators describing the direct scattering of the defocusing matrix Zakharov-Shabat system with potentials having distinct nonzero values with the same modulus at ±∞ exist, are asymptotically complete, and lead to a unitary scattering operator. We also prove that the free Hamiltonian operator is absolutely continuous.

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