Change of variables in partial differential equation? - Answers

Change of variables in partial differential equations (PDEs) involves substituting new variables to simplify the equation or convert it to a more solvable form. This technique can help reduce the complexity of the PDE, making it easier to analyze or solve. Common transformations include linear transformations, coordinate shifts, or non-linear substitutions, and they often exploit symmetries or specific features of the problem. Ultimately, the goal is to facilitate finding solutions or gaining insights into the behavior of the system described by the PDE.