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Numerical solution by NDSolve has discontinuity

Posted 1 month ago
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For the given ODE

$uu_{ttt}-u_{t}u_{tt} + u^3 u_{t}=0,$

I am trying to do a comparison between numerical and analytical results. Analytically, I got the solution of sech, but for a numeric solution, I used NDSolve, it fives discontinuity in the solution. Why?

POSTED BY: A Afi
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