Interactions of traveling waves in low order approximations for the two-dimensional Euler equations.

In this paper, we study traveling waves with elastic and inelastic interactions in a low order of approximation. The waves are derived in quadratic or linear order of approximation from the two-dimensional Euler equations. A new type of inelastic interaction that is closely related to numerical study observations of the Euler equations is obtained in a linear order. [ABSTRACT FROM AUTHOR]