Abstract |

**Forced Nonlinear Waves Governed by
Inhomogeneus Burgers Equation**

*E.A.Lapshin (Faculty of Mechanics and
Mathematics, Moscow State University, Moscow, Russia)*

*e-mail: *

Excitation
and propagation nonlinear processes governed by inhomogeneous Burgers equation
with non-zero right-hand-side (r-h-s) are considered. By use of characteristics
method both qualitative and quantitative properties of solutions for arbitrary
forms of r-h-s are studied. The temporal profiles are calculated, all the
principal parameters are determined: the coordinate of shock front formation,
the velocity of propagation, the peak magnitudes of the disturbance. It was
shown, that at large distances the solution reaches its stationary form
depending on the properties of r-h-s. Unusual properties demonstrates the
steady-state solution for the random r-h-s. It is shown, that fluctuations of
"drioving force" in the r-h-s of inhomogeneous Burgers equation excite
the acoustic noise wave at small distances, but the corresponding steady-state
solution is much more "smoothed". Concequently, we observe the
nonlinear "chaos-order" transformation.

Section
: 1