Partial differential equations (PDEs) are equations that involve partial derivatives of an unknown function with respect to several independent variables. The formulation of PDEs with the unknown ...
$$\begin{aligned} \int _{0}^{\infty }{\int _{-\infty }^{\infty }{\left(\frac{\partial u}{\partial t}+u\frac{\partial u}{\partial x}-v\frac{{{\partial }^{2}}u ...
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