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

作者：Klein C^*; Saut J C

来源：Journal of Nonlinear Science, 2012, 22(5): 763-811.

DOI：10.1007/s00332-012-9127-4

• Kadomtsev-Petviashvili equations
• Qualitative properties
• Blow-up
• Stability

We first review the known mathematical results concerning the Kadomtsev-Petviashvili 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.

• 出版日期2012-10