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I need to find the homogenous solution and fixed points to this pde. I have no idea how to proceed.

$$ \partial_t u = r u - (\partial_{xx}u +1)^2u - u^3 $$

It is second order non linear parital differential equation

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  • $\begingroup$ It's not really a PDE unless there are derivatives involving more than one variable. All I see is spatial derivatives in $x$. $\endgroup$ Apr 28, 2016 at 13:37
  • $\begingroup$ sorry. i typed d_x instead of d_t $\endgroup$
    – jkhadka
    Apr 28, 2016 at 13:38
  • $\begingroup$ @Mattos can you help me with this ? $\endgroup$
    – jkhadka
    Apr 28, 2016 at 20:28

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