Nonlinear Differential Equations in Physics

Focusing on advanced mathematical techniques, this book explores novel analytical and numerical methods for addressing partial and fractional differential equations. It highlights specific numerical approaches for stochastic point kinetic equations in nuclear reactor dynamics, utilizing Euler-Maruyama and strong-order Taylor methods. Additionally, the text provides insights into deriving new exact solutions for various fractional differential equations, including notable examples like the time-fractional Burgers-Hopf equation and several multidimensional fractional equations.