Partial Differential Equations and Solitary Waves Theory Partial Differential Equations and Solitary Waves Theory is a self contained book divided into two parts: Part I is a coherent survey bringing together newly developed methods for solving PDEs. While some traditional techniques are presented this part does not require thorough understanding of abstract theories or compact concepts. Well selected worked examples and exercises shall guide the reader through the text. Part II provides an extensive exposition of the solitary waves theory. This part handles nonlinear evolution equations by methods such as Hirotas bilinear method or the tanh cot