Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2010
- DOI:
- 10.48550/arXiv.1010.5510
- arXiv:
- arXiv:1010.5510
- Bibcode:
- 2010arXiv1010.5510K
- Keywords:
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- Mathematics - Analysis of PDEs;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- 46 pages, 33 figures