Solitons are coherent structures that describe the nonlinear evolution of wave localizations in hydrodynamics, optics, plasma and Bose-Einstein condensates. While Peregrine breather is known to amplify a single localized perturbation carrier finite amplitude by factor three, there counterpart solution on zero background as degenerate two-soliton which also leads high maxima. In this study, we r...

in this paper, based on sinh-cosh method and sinh-gordon expansion method,families of solutions of (2+1)-dimensional breaking soliton equation are obtained.these solutions include jacobi elliptic function solution, soliton solution,trigonometric function solution.

Recently, many nonlinear coupled evolution equations, such as the coupled Korteweg–de Vries (KdV) equation, the coupled Boussinesq equation, and the coupled mKdV equation, appear in scientific applications [1 – 13]. The coupled evolution equations attracted a considerable research work in the literature. The aims of these works have been the determination of soliton solutions and the proof of c...

Modified Korteweg-deVries equation (mK-dV), which governs the behavior of ion acoustic solitons in a relativistic warm plasma with density gradient, is derived. The electron inertia is also taken into account which is important when the streaming ions are present in the plasma. A solution of the mK-dV equation is obtained for the constant density gradient When the ion acoustic soliton propagate...

based on some stationary periodic solutions and stationary soliton solutions, one studies the general solution for the relative lax system, and a number of exact solutions to the korteweg-de vries (kdv) equation are first constructed by the known darboux transformation, these solutions include double and triple singular periodic solutions as well as singular soliton solutions whose amplitude de...

Dust acoustic solitary waves are studied in warm dusty plasma containing negatively charged dusts, nonthermal ions and Boltzmann distributed electrons. Sagdeev pseudopotential method is used in order to investigate solitary wave solutions in the plasmas. The existence of compressive and rarefractive solitons is studied. Keywords—Nonthermal, Soliton, Dust, Sagdeev potential

We give a survey of infinite dimensional Hamiltonian systems with infinite dimensional Lie groups as symmetry groups and discuss concrete examples from soliton equations, plasma physics, fluid mechanics and quantum field theory. We present some new results of applications to BRST symmetries and g-symplectic structures.

The space-uniform amplitude envelope of the Ion Temperature Gradient driven turbulence is unstable to small perturbations and evolves to nonuniform, soliton-like modulated profiles. The induced poloidal asymmetry of the transport fluxes can generate spontaneous poloidal spin-up of the tokamak plasma.

Slowly evolving, regularly spaced patterns have been observed in proton projection images of plasma channels drilled by intense (≳10¹⁹ W cm⁻²) short (∼1  ps) laser pulses propagating in an ionized gas jet. The nature and geometry of the electromagnetic fields generating such patterns have been inferred by simulating the laser-plasma interaction and the following plasma evolution with a two-dime...

Abstract The possibility is considered of propagation localized wave structures, such as dust acoustic solitons, in the plasma dust-filled Saturn’s magnetosphere, which contains electrons two sorts (hot and cold) subject to kappa distribution, ions, charged grains. ranges possible velocities amplitudes solitons are determined. Soliton solutions for different sizes concentrations grains magnetos...