Propagation of incoherently soliton pairs in photorefractive crystals under steady-state conditions is studied. These soliton states can be generated when the two mutually incoherent optical beams with the same polarization and wavelength incident on the biased photorefractive crystal. Such soliton pairs can exist in bright-bright, dark-dark, gray-gray as well as in bright-dark types. In this p...

Properties of dust-ion acoustic waves (DIAWs) in an unmagnetized dusty plasma consisting mobile ions, superthermal electrons, and negatively charged dust clouds with charge fluctuation are investigated. Burgers’ equation is derived from the fluid plasmas by considering reductive perturbation technique. The Lax pair evolution obtained, characteristics DIAWs investigated employing Darboux transfo...

We have been continuing our study of solitons and nonlinear interactions in a pure electron plasma. The solitons are grown from large amplitude normal-mode oscillations. When grown in this way, it is convenient to divide the resulting wave into two parts: localized soliton-like structures and global normal-mode-like waves. These two parts interact weakly with each other and cause various intere...

In this paper, a generalized long-wave short-wave resonance interaction system, which describes the nonlinear between and in fluid dynamics, plasma physics optics, is considered. Using Hirota bilinear method, general N-bright N-dark soliton solutions are deduced their Gram determinant forms obtained. A special feature of fundamental bright solution that, general, it behaves like Korteweg-deVrie...

We present a class of topological plasma configurations characterized by their toroidal and poloidal winding numbers, nt and np, respectively. The special case of nt=1 and np=1 corresponds to the Kamchatnov-Hopf soliton, a magnetic field configuration everywhere tangent to the fibers of a Hopf fibration so that the field lines are circular, linked exactly once, and form the surfaces of nested t...

in this paper, we obtained the 1-soliton solutions of the symmetric regularized long wave (srlw) equation and the (3+1)-dimensional shallow water wave equations. solitary wave ansatz method is used to carry out the integration of the equations and obtain topological soliton solutions the physical parameters in the soliton solutions are obtained as functions of the dependent coefficients. note t...

A method of detecting solitons and determine their parameters based on the scattering problem solution for the relevant nonlinear equation is developed. As an example the Derivative Nonlinear Schrödinger (DNLS) equation has been considered. The integral reflection coefficient, which should rapidly drop when a signal is close to N-soliton profile, has been used as a soliton detector. Application...