Numerical Study of Blow up and Stability of Solutions of Generalized Kadomtsev-Petviashvili Equations


We first review the known mathematical results concerning the KP type equations. Then we perform numerical simulations to analyze various qualitative properties of the equations : blow-up versus long time behavior, stability and instability of solitary waves. 
DOI: 10.1007/s00332-012-9127-4


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