الفهرس Only 14 pages are availabe for public view
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Abstract
Introduction to the history of the soliton and different methods to calculate the soliton solutions for the nonlinear partial differential equations . Chapter 2: inhomogenous Toda lattice equation using the rational method, jacobian an elliptic function method and cole-Hopf transformation. Chapter 3: the exact travelling wave solutions for the nonlinear KdV-Burgers and modified KdV-Burgers in two dimensional. Chapter 4: the nonlinear gereralized Boussinesq and modifed Kawachara partial differntial equations using the rational and Jacobian an elliptic function method. Chapter 5: the nonlinear coupled Korteveg-de Vries partial differential system using the rational and Jacobian an elliptic function method. Chapter 6: the nonlinear Hirotta-Satsuma coupled KdV system using the rational method. Chapter7: based on the methodology for extended proposed method by using the projective Riccati equation with the aid of symbolic computation maple or mathematica. Chapter8: based on the computerized symbolic computation we have proposed a complex hyperbolic function method for exact solutions to certain five example of nonlinear partial differential systems.