Showing 1 - 10 of 12
Using a long wave expansion we study the asymptotic solutions near a critical point of a multi-anticipative car-following model. A suitable rescaling of the variables then yields a modified Korteweg–de Vries (MKdV) equation with higher order corrections. An equation of this general form has...
Persistent link: https://www.econbiz.de/10010873049
We analyze a system of reacting elements harmonically coupled to nearest neighbors in the continuum limit. An analytic solution is found for traveling waves. The procedure is used to find oscillatory as well as solitary waves. A comparison is made between exact solutions and solutions of the...
Persistent link: https://www.econbiz.de/10010874184
A justified modification of the real part of the complex non-linearity of a Schrödinger equation, recently proposed G. Kaniadakis, Phys. Rev. A 55 (1997) 941], allows us to obtain a new canonical quantum system obeying an exclusion–inclusion principle. The soliton solutions of this new...
Persistent link: https://www.econbiz.de/10011057917
Surface diffusion (SD) is a really ubiquitous phenomenon playing a highly important part in a wealth of natural and technological processes. The effect of SD is to move surface atoms, molecules and clusters and allow them to assemble into some desirable configurations or, vise versa, to destroy...
Persistent link: https://www.econbiz.de/10011058135
The nonlinear Klein–Gordon equation with a different potential that satisfies the degeneracy properties discussed in this paper possesses solitonic solutions that interact with long-range forces. We generalize the Ginzburg–Landau equation in such a way that the topological defects supported...
Persistent link: https://www.econbiz.de/10011058823
We consider elastic grains which repel upon contact according to the Hertz potential V=aδn,n2, where δ is the overlap between adjacent grains and report numerical and analytical studies for the case of a 1-D chain of spherical grains to show that an impulse initiated at an end of a chain of...
Persistent link: https://www.econbiz.de/10011059067
long-range interactions between solitons. We will study a nonlocal Klein–Gordon equation that is used as a model for …
Persistent link: https://www.econbiz.de/10011060229
We show that soliton interaction with finite-width inhomogeneities can activate a great number of soliton internal modes. We obtain the exact stationary soliton solution in the presence of inhomogeneities and solve exactly the stability problem. We present a Karhunen–Loève analysis of the...
Persistent link: https://www.econbiz.de/10011060267
We investigate the influence of long-range interactions on the energy localization in a one-dimensional Morse chain with an impurity by molecular dynamics simulations. The energy distribution around the impurity is studied. It shows that in the high temperature limit there is no difference upon...
Persistent link: https://www.econbiz.de/10011063848
excitations of space-charge modes are analyzed and the endurance of trains of solitons against transverse effects is clarified. …
Persistent link: https://www.econbiz.de/10010931522