Families of rational solutions to the KPI equation of order 7 depending on 12 parameters - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue International Journal of Advanced Research in Physical Science Année : 2017

Families of rational solutions to the KPI equation of order 7 depending on 12 parameters

Résumé

We construct in this paper, rational solutions as a quotient of two determinants of order 2N = 14 and we obtain what we call solutions of order N = 7 to the Kadomtsev-Petviashvili equation (KPI) as a quotient of 2 polynomials of degree 112 in x, y and t depending on 12 parameters. The maximum of modulus of these solutions at order 7 is equal to 2(2N + 1)2= 450. We make the study of the patterns of their modulus in the plane (x, y) and their evolution according to time and parameters a1, a2, a3, a4, a5, a6, b1, b2, b3, b4, b5, b6. When all these parameters grow, triangle and ring structures are obtained.
Fichier non déposé

Dates et versions

hal-01700810 , version 1 (05-02-2018)

Identifiants

  • HAL Id : hal-01700810 , version 1

Citer

Pierre Gaillard. Families of rational solutions to the KPI equation of order 7 depending on 12 parameters. International Journal of Advanced Research in Physical Science, 2017, 4 (11), pp.24-30. ⟨hal-01700810⟩
55 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More