Nonlinear wave propagation

The basic direction underlying this work is the continuing study of certain fundamental features associated with the nonlinear wave propagation which are motivated and arises in physical problems. The usefulness of the work is attested to by the varied applications, and wide areas of interest in physics, engineering and mathematics. The work accomplished relates to fluid mechanics, nonlinear optics, multidimensional solitons, Painleve equations, long time asymptotic solutions, new linearizations of the KdV equation, Riemann-Hilbert problems, etc.