离散的Burgers-Ginzburg-Landau方程组 补充资料:拟线性双曲型方程和方程组 拟线性双曲型方程和方程组 quasi-linear hyperbolic equations and systems 尸二。*(“,卢),g=u,(“,刀)的六个一阶方程,其中之一是由所有其他的导出的,可以考虑这个具有五个未知函数的五个拟线性方程的组.对类似的方程组,因此对拟线性...
A collision of two solitary pulses (SPs) is considered in a system of two coupled bistable Ginzburg-Landau equations. The bistability means that each seperate equation admits two stable solutions, viz., the trivial one and an SP. The system is considered in a regime where the real parts of...
A Ginzburg-Landau type equation with nonlocal coupling is derived systematically as a reduced form of a universal class of reaction-diffusion systems near the Hopf bifurcation point and in the presence of another small parameter. The reaction-diffusion systems to be reduced are such that the ...
We investigate the existence, formation and stability of multipulse bound states in a system of two Ginzburg-Landau equations coupled by linear terms. The system includes linear gain, diffusion, dispersion, and cubic nonlinearity in one component, and only linear losses in the other. This is a ...
Chaotic oscillations of one-dimensional coupled wave equations with mixed energy transports Article 01 January 2020 Local Bifurcations of Periodic Traveling Waves in the Generalized Weakly Dissipative Ginzburg-Landau Equation Chapter © 2023 Data availability Data sharing not applicable to this article...
evolution is described by complex Ginzburg—Landau(CGL1 equations[3J. H owever,t he ac t ual chemic al kin et ics g overn ing t h e st r uct u re of fl ames c an b e qu ite c omp lex , and t he effect o f comp lex ch em ical k inet ics on th e d ynamics of...
In this paper,we have investigated the coupled generalized Ginzburg-Landau(GL) equation with varying coefficients describing the inhomogeneous optical fiber system,and used Fast Fourier Transform Algorithm respectively and numerically to analyse soliton pairs such as chirped bright-dark and chirped dark-dar...
Stable solitons in coupled Ginzburg-Landau equations describing Bose-Einstein condensates and nonlinear optical waveguides and cavities We introduce a model of a two-core system, based on an equation of the Ginzburg鈥揕andau (GL) type, coupled to another GL equation, which may be linear or .....
Bifurcations, chaotic behavior, and optical solutions for the complex Ginzburg-Landau equation. Results Phys. 59, 107601 (2024). Article Google Scholar Zhu, C., Al-Dossari, M., Rezapour, S. & Gunay, B. On the exact soliton solutions and different wave structures to the (2+1) ...
Boccaletti, Characterization of synchronized spatiotemporal states in coupled nonidentical complex Ginzburg-Landau equations, Int. J. Bifurcation Chaos. 10(10) (2000), pp. 2381-2389.J. Bragard, F.T. Arecchi, S. Boccaletti, Characterization of synchronized spa- tiotemporal states in coupled non ...