Smoothness property of traveling wave solutions in a modified Kadomtsev--Petviashvili equation

In this paper, dynamical systems theory is applied to investigate the smooth property of traveling wave solutions for a modified Kadomtsev{Petviashvili equation. The results of our study demonstrate that an abundant of smooth traveling waves arise when their corresponding orbits have intersection points with the singular straight line. In some conditions, exact parametric representations of these smooth waves in explicit or implicit forms are obtained