Hirota method for multi soliton solutions of some non-linear partial differential equations

This study is organized into four chapters. In the first chapter, some basic definitions and theorems that will be used in the later sections are given. The second chapter provides information about the interaction of solitons and soliton. In the third chapter, Hirota bilinear method is introduced, this method is applyed non-linear differential equations of KdV and KP which hold an important place in mathematical-physics and multi-soliton solutions of these equations have been obtained with Hirota bilinear method. In the fourth chapter, explanations are given about Sawada-Kotera equation and KdV equations, Hirota bilinear method is applyed this type equations and multi-soliton solutions of these equations are found. Keywords: Soliton, Hirota-bilinear method, KP equation, KdV equation, (3+1) - dimensional KdV equation, Sawada - Kotera equation.