Chemical bonding is a well understood quantum phenomena with the accuracy of Schrodinger based predictions determined by the computing power applied [1]. The hydrogen molecule ion, H2, is the most studied and theoretically understood molecule, with no unexplained observations. Thus, to understand how two deuterons could possibly fuse to He, a more fundamental approach than the Schrodinger equat...

In this paper we develop a higher-order nonlinear Schrodinger equation with variable coefficients to describe how a water wave packet will deform and eventually be destroyed as it propagates shoreward from deep to shallow water. It is well-known that in the framework of the usual nonlinear Schrodinger equation, a wave packet can only exist in deep water, more precisely when kh > 1.363 where k i...

A source function method for the generation of waves internal to Boussinesq model grid boundaries (Wei G, Kirby JT, Sinha A. Generation of waves in Boussinesq models using a source function method. Coastal Engng 1999;36:271–299) is generalized to account for the presence of a strong current, for application to wave-current interaction problems. The method is also modified to eliminate waves pro...