@techreport{10336/11126, author = {Ratanov, Nikita}, year = {2004}, month = {7}, url = {http://repository.urosario.edu.co/handle/10336/11126}, abstract = {A branching random motion on a line, with abrupt changes of direction, is studied. The branching mechanism, being independient of random motion, and intensities of reverses are defined by a particle's current direction. A soluton of a certain hyperbolic system of coupled non-linear equations (Kolmogorov type backward equation) have a so-called McKean representation via such processes. Commonly this system possesses traveling-wave solutions. The convergence of solutions with Heaviside terminal data to the travelling waves is discussed.This Paper realizes the McKean programme for the Kolmogorov-Petrovskii-Piskunov equation in this case. The Feynman-Kac formula plays a key role.}, booktitle = {Economía. Serie documentos. Borradores de investigación, No. 45}, title = {Branching random motions, nonlinear hyperbolic systems and traveling waves}, publisher = {Editorial Universidad del Rosario}, keywords = {Non-linear hyperbolic system}, keywords = {Branching random motion}, keywords = {Feynman-Kac connection}, keywords = {McKean solution}, keywords = {Traveling wave}, }