Nondegeneracy, Morse Index and Orbital Stability of the Lump Solution to the KP-I Equation

Yong Liu, Juncheng Wei

Let $Q(x,y)=4\frac{y^2-x^2+3}{(x^2+y^2+3{)}^2}$ be the lump solution of the KP-I equation $${\partial }_x^2({\partial }_x^{2}u-u+3u^2)-{\partial }_y^{2}u=0.$$ We show that this solution…