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I am Saravanan, Research scholar from theoretical physics.

I am attempting to solve the painleve analysis for KdV and cubic NLS(nonlinear Schrodinger equation) equation.

After arriving at the arbitrary functions by substituting the Laurent's series in given equation I couldn able to conclude what makes the given equation an Integrable or Non integrable?

There is compatibility condition that arises from recurrence relation, what is meant by compatibility condition?

thanks in well advance...

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# Painleve analysis

Can you offer guidance or do you also need help?

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