Rajan Puri

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math.AP2020

Non-uniqueness for the ab family of equations in periodic case

Rajan Puri

For the cubic ab-family of equations with $a \neq = 0$ , it is proved that there exists an initial data in the Sobolev space $H^{s}$ , $s < 3/2$ , with non-unique solutions on the circle.

math.AP2020

Non-uniqueness for the ab-family of equations

John Holmes, Rajan Puri

We study the cubic ab-family of equations, which includes both the Fokas-Olver-Rosenau-Qiao (FORQ) and the Novikov (NE) equations. For $a \neq = 0$ , it is proved that there exist initi…