Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations
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🧮 math.AP
nlin.SI
keywords
equationsnumericalstabilityanalyzebehaviorblowblow-upconcerning
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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.
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