نتایج جستجو برای: soliton wave solutions
تعداد نتایج: 550757 فیلتر نتایج به سال:
This is an announcement of results concerning a class of solitary wave solutions to semilinear wave equations. The solitary waves studied are solutions of the form φ(t, x) = efω(x) to semilinear wave equations such as φ+m2φ = β(|φ|)φ on R1+n and are called nontopological solitons. The first preprint provides a new modulational approach to proving the stability of nontopological solitons. This t...
We consider the nonlinear Hartree equation describing the dynamics of weakly interacting non-relativistic Bosons. We show that a nonlinear Møller wave operator describing the scattering of a soliton and a wave can be defined. We also consider the dynamics of a soliton in a slowly varying background potential W(εx). We prove that the soliton decomposes into a soliton plus a scattering wave (radi...
Using the Darboux transformation for Korteweg-de Vries equation, we construct and analyze exact solutions describing interaction of a solitary wave traveling cnoidal wave. Due to their unsteady, wavepacket-like character, these patterns are referred as breathers. Both elevation (bright) depression (dark) breather obtained. The nonlinear dispersion relations demonstrate that bright breathers pro...
Multiple bright–dark soliton solutions in terms of determinants for the space-shifted nonlocal coupled nonlinear Schrödinger equation are constructed by using bilinear (Kadomtsev–Petviashvili) KP hierarchy reduction method. It is found that two-soliton only occurs elastic collisions. Upon their amplitudes, bright two solitons admit one pattern whose amplitude equal, and dark have three differen...
Soliton density wave is investigated numerically and analytically in the optimal velocity model (a car-following model) of a one-dimensional traffic flow with open boundaries. Soliton density wave is distinguished from the kink density wave. It is shown that the soliton density wave appears only at the threshold of occurrence of traffic jams. The Korteweg-de Vries (KdV) equation is derived from...
In this article, we give the extended trial equation method for solving nonlinear partial differential equations with higher order nonlinearity. By use of this method, the exact travel-ing wave solutions including soliton solution, singular soliton solutions, rational function solution and elliptic integral function solution to one-dimensional general improved KdV (GIKdV) equation and Rðm; nÞ e...
A modified Gross-Pitaevskii approximation was introduced recently for bosons in dimension d ≤ 2 by Kolomeisky et al. (Phys. Rev. Lett. 85 1146 (2000)). We reproduce, using the density functional approach, the stationaryframe results of Kolomeisky et al. for a repulsive interaction. We also find a new soliton solution for an attractive interaction, which may be boosted to a finite velocity by a ...
A modified Gross-Pitaevskii approximation was introduced recently for bosons in dimension d ≤ 2 by Kolomeisky et al. (Phys. Rev. Lett. 85 1146 (2000)). We use the density functional approach with sixth-degree interaction energy term in the Bose field to reproduce the stationary-frame results of Kolomeisky et al. for a one-dimensional Bose-Einstein system with a repulsive interaction. We also fi...
The propagation dynamics of the nucleus-acoustic waves (NAW) in a quantum plasma composed nondegenerate inertial light nuclei, stationary heavy and ultra-relativistically degenerate electrons positrons has been theoretically investigated within framework Boussinesq equation, which is valid for bi-directional small but finite amplitude limit. N-soliton solution equation derived using Hirota's me...
In this work, recently deduced generalized Kudryashov method is applied to the variant Boussinesq equations, and the (2 + 1)-dimensional breaking soliton equations. As a result a range of qualitative explicit exact traveling wave solutions are deduced for these equations, which motivates us to develop, in the near future, a new approach to obtain unsteady solutions of autonomous nonlinear evolu...
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