Partial Differential Equations and Solitary Waves Theory

Partial Differential Equations.- Basic Concepts.- First-order Partial Differential Equations.- One Dimensional Heat Flow.- Higher Dimensional Heat Flow.- One Dimensional Wave Equation.- Higher Dimensional Wave Equation.- Laplace's Equation.- Nonlinear Partial Differential Equations.- Linear and Nonlinear Physical Models.- Numerical Applications and Pade Approximants.- Solitons and Compactons.- Solitray Waves Theory.- Solitary Waves Theory.- The Family of the KdV Equations.- KdV and mKdV Equations of Higher-orders.- Family of KdV-type Equations.- Boussinesq, Klein-Gordon and Liouville Equations.- Burgers, Fisher and Related Equations.- Families of Camassa-Holm and Schrodinger Equations.