In this investigation, the exact solutions of variable coefficients generalized Zakharov-Kuznetsov (ZK) equation and Gardner are studied with help an extended G ′ / expansion method. The main objective study is to establish closed-for...

Gardner syndrome is a rare, autosomal dominant syndrome. It will follow a positive course with diagnosis and treatment by medical and dental specialists. Orthodontists or general dental physicians can easily diagnose the syndrome through radiological images taken in addition to dental and skeletal findings. The aim of this study was therefore to report two cases of this syndrome and to evaluate...

What’s a question to your answer? We will not settle this puzzle here, yet we’ll taste it. But let’s begin at the beginning, namely in 1907, when Willem Abraham Wythoff [7], a Dutch mathematician, invented the game we analyze here, explained vividly by Martin Gardner in [5]. The game is played with two piles of tokens, each pile containing an arbitrary number of tokens. A move consists of eithe...