Abstract

Nonlinear Propagation of Two-Component Waves

V.Chernykh, A.P.Sukhorukov, I.G.Zakharova (Faculity of Physics, Moscow State University, Moscow, Russia)

e-mail: slawa@nls.phys.msu.su

We investigate a propagation of two-component waves in nondispersive viscous medium with quadratic nonlinearity. We solved analytically and numerically the evolution equations containing quadratically nonlinear terms for one wave and parametric term for another component. Steady-state solutions in the form of coupled kinks were found and investigated. The dependence of front slopes on the nonlinear and viscous coefficients was analyzed. It was shown, that stationary amplitudes of coupled kinks can be not monotone increasing functions. The dependence of profile slopes on nonlinear coefficients and steady-state amplitudes were derived. The domains of coupled kinks were found. It was proved, that the ratio of established shock front widths is limited by media properties. The dynamics of coupled shock waves formation under input harmonic perturbation has been discussed. We found the conditions when the input signals form the fronts described by stationary theory. The period bisection was observed with coupled waves excitation by input second component.

Section : 1