Weakly nonlocal KdV hierarchy

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Weakly nonlocal KdV hierarchy
2016. 10. 14. 10:15
BME Fizikai Intézet, Elméleti Fizika Tanszék, Budafoki út 8. F-épület, III lépcsőház, szemináriumi szoba
Paulius Miškinis (U. Vilnius)

The Korteweg–de Vries equation (KdV) is a mathematical model of waves on shallow water and is perhaps the most famous nonlinear equation. By using the fractional derivative a weakly nonlocal generalization of KdV, which possesses also an unlimited number of conservation laws and exact solutions are presented. The correlation to the equation with quadratic nonlinearity is shown.