Solitons Dodd

The dominant medium for soliton propagation in electronics, nonlinear transmission line (NLTL) has found wide application as a testbed for nonlinear dynamics and KdV phenomena as well as for practical applications in ultra-sharp pulse/edge generation and novel nonlinear communication schemes in electronics.

The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and soliton and we develop an abstract existence theory for hylomorphic solitons, namely for those solitons which minimize the energy for a given charge. In the second part, the authors apply this theory to prove the existence of hylomorphic solitons for some classes of field equations (nonlinear Klein-Gordon-Maxwell equations, nonlinear Schrödinger-Maxwell equations, nonlinear beam equation,..). The abstract theory is sufficiently flexible to be applied to other situations, like the existence of vortices. The books is addressed to Mathematicians and Physicists.

For over six decades, Sir Ken Dodd was one of Britain's favourite entertainers - a comedian whose surreal world of tickling sticks, jam butty mines and Diddymen kept generations of audiences entertained, from his professional debut in 1954 to his final curtain call in December 2017. In Sir Ken's own words and with testimony from friends, family and colleagues who knew him best, this revealing documentary film tells the story of his incredible life and long career, which included a record-breaking run at The London Palladium in the 1960s, numerous television series and specials, countless summer seasons and variety shows, a string of hit records and a touring one-man show that continued right into his ninetieth year.