We are given a nonlinear partial differential equation in two independent variables (pde1).
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Using the unit circle in the x-y plane as an initial curve, we can explore the integral surface of the partial differential equation using PDEplot.
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Because of the nonlinearity of the PDE, there are actually two possible solutions, depending on the values of the derivatives on the initial curve. These values are given using the option `ic_assumptions`.
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Another example.
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The commands to create the plot from the Plotting Guide are
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More examples are available on the PDEplot_options page.