7 citations · 7 across the 2 of their papers we have counts for
2 papers
math-ph2012★ 7 cited
Nonlinear acoustic waves in channels with variable cross sections
Vladimir F. Kovalev, Oleg V. Rudenko
The point symmetry group is studied for the generalized Webster-type equation describing non-linear acoustic waves in lossy channels with variable cross sections. It is shown that,…
math-ph2010
Exact and approximate symmetries for light propagation equations with higher order nonlinearity
Martin E. Garcia, Vladimir F. Kovalev, Larisa L. Tatarinova
For the first time exact analytical solutions to the eikonal equations in (1+1) dimensions with a refractive index being a saturated function of intensity are constructed. It is de…