Nonlinear Differential Equations in Physics

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The book explores innovative analytical and numerical techniques for addressing partial and fractional differential equations. It highlights specific numerical methods, including Euler-Maruyama and strong-order Taylor methods, for solving stochastic point kinetic equations relevant to nuclear reactor dynamics. Additionally, it presents new exact solutions for a range of fractional differential equations, such as the time-fractional Burgers-Hopf equation and various (3+1)-dimensional equations, showcasing the depth and applicability of these methods in advanced mathematical contexts.