field effect transistors Suprem R. Das, Collin J. Delker, Dmitri Zakharov, Yong P. Chen, Timothy D. Sands, and David B. Janes Department of Physics, Purdue University, West Lafayette, Indiana 47907, USA School of Electrical and Computer Engineering, Purdue University, West Lafayette, Indiana 47907, USA School of Materials Engineering, Purdue University, West Lafayette, Indiana 47907, USA Birck ...

Local well-posedness for the two-dimensional Zakharov-Kuznetsov equation in fully periodic case with initial data Sobolev spaces $H^s$, $s>1$, is proved. Frequency dependent time localization utilized to control derivative nonlinearity. The new ingredient improve on previous results a nonlinear Loomis-Whitney-type inequality.

The generalized Zakharov–Shabat systems with complex-valued Cartan elements and the systems studied by Caudrey, Beals and Coifman (CBC systems) and their gauge equivalent are studies. This includes: the properties of fundamental analytical solutions (FAS) for the gauge-equivalent to CBC systems and the minimal set of scattering data; the description of the class of nonlinear evolutionary equati...

We develop a wave-kinetic description of acoustic-gravity (AG) waves in the atmosphere. In our paper the high frequency spectrum of waves is described as a gas of quasi-particles. Starting from the Zakharov-type of equations, where coupling between fast and slow density perturbations is considered, we derive the corresponding wave-kinetic equations, written in terms of an appropriate Wigner fun...

The dressing procedure for the Generalised Zakharov-Shabat system is well known for systems, related to sl(N) algebras. We extend the method, constructing explicitly the dressing factors for some systems, related to orthogonal and symplectic Lie algebras. We consider ’dressed’ fundamental analytical solutions with simple poles at the prescribed eigenvalue points and obtain the corresponding Lax...

An analytic study was conducted on coupled partial differential equations. We formally derived new solitary wave solutions of generalized coupled system of Zakharov-Kuznetsov (ZK) and KdV equations by using modified extended tanh method. The traveling wave solutions for each generalized coupled system of ZK and KdV equations are shown in form of periodic, dark, and bright solitary wave solution...