Do nonlinear waves in random media follow nonlinear diffusion equations?
نویسندگان
چکیده
منابع مشابه
Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media⋆
On the basis of the competing cubic-quintic nonlinearity model, stability (instability) of continuous waves in nonlocal random non-Kerr nonlinear media is studied analytically and numerically. Fluctuating media parameters are modeled by the Gaussian white noise. It is shown that for different response functions of a medium nonlocality suppresses, as a rule, both the growth rate peak and bandwid...
متن کاملDo solitonlike self-similar waves exist in nonlinear optical media?
We show analytically that bright and dark spatial self-similar waves can propagate in graded-index amplifiers exhibiting self-focusing or self-defocusing Kerr nonlinearities. The intensity profiles of the novel waves are identical with those of fundamental bright or dark spatial solitons supported by homogeneous passive waveguides with the same type of nonlinearity. Thus, we reveal a previously...
متن کاملNonlinear Diffusion Equations
Existence of wavefronts for discrete two-dimensional evolution models involving diifusive terms with a nonlinear dependence on the discrete ‘grsdients’ is studied. For small values of a control parameter, we prove existence of steady wavefronts. We investigate numerically the transition of steady fronts to traveling waves as the control parameter increases. @ 2002 Elsevier Science Ltd. All righ...
متن کاملPropagation of nonlinear waves in disordered media
We study the propagation of stationary waves in disordered non-linear media described by the nonlinear Schrödinger equation and show that for given boundary conditions and a given coherent wave incident on the sample, the number of solutions of the equation increases exponentially with sample size. We also discuss the ballistic case, the sensitivity of the solutions to the change of external pa...
متن کاملSolitary Waves in Layered Nonlinear Media
We study longitudinal elastic strain waves in a one-dimensional periodically layered medium, alternating between two materials with different densities and stress-strain relations. If the impedances are different, dispersive effects are seen due to reflection at the interfaces. When the stress-strain relations are nonlinear, the combination of dispersion and nonlinearity leads to the appearance...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2013
ISSN: 0167-2789
DOI: 10.1016/j.physd.2013.04.005