This paper addresses the Klein-Gordon-Zakharov equation with power law nonlinearity in (1 + 1)-dimensions. The integrability aspect as well as the bifurcation analysis is studied in this paper.The numerical simulations are also given where the finite difference approach was utilized. There are a few constraint conditions that naturally evolve during the course of derivation of the soliton solut...

We consider the kinematic stage of evolution magnetic field advected by turbulent hydrodynamic flow. use a generalization Kazantsev-Kraichnan model to investigate time irreversible flows. In viscous range scales, infinite-time limit spectrum is power law but its slope more flat than that predicted Kazantsev model. This result agrees with numerical simulations. The rate energy growth slower in t...

To characterize a destruction of Anderson localization by nonlinearity, we study the spreading behavior of initially localized states in disordered, strongly nonlinear lattices. Due to chaotic nonlinear interaction of localized linear or nonlinear modes, energy spreads nearly subdiffusively. Based on a phenomenological description by virtue of a nonlinear diffusion equation, we establish a one-...

We discuss the properties of nonlinear localized modes in sawtooth lattices, in the framework of a discrete nonlinear Schrödinger model with general on-site nonlinearity. Analytic conditions for existence of exact compact three-site solutions are obtained, and explicitly illustrated for the cases of power-law (cubic) and saturable nonlinearities. These nonlinear compact modes appear as continua...

This paper serves as a sequel to previously reported results on cubic-quartic solitons with complex Ginzburg–Landau equation. work is various forms of power law nonlinearity that structures the self-phase modulation. The enhanced Kudryashov's approach gives soliton solution. conservation laws are also identified for models.

This paper presents a 12-bit 150-MHz current steering DAC with hierarchical symmetrical switching sequence that compensates gradient errors. The circuit of the DAC employs segmented architecture; the least significant bits (LSBs) steer a binary weighted array, while the most significant bits (MSBs) are thermometer decoded and steer a unary array. The measured differential nonlinearity and integ...

This paper deals with two-dimensional plane stress wrinkling model of a plastic annular plate. Based on energy method and the nonlinearity of strain-displacement law, a bifurcation function in polar coordinates is derived analytically. This technique leads to the critical conditions for the onset of the plastic wrinkling of flange during the deep drawing process. To find this solution, the Tres...