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FAMILIES OF RATIONAL SOLITON SOLUTIONS OF THE KADOMTSEV-PETVIASHVILI I EQUATION

BARONIO, Fabio
2016-01-01
2016
2016
MIUR (compresi PRIN FIRB,FISR)
ROMANIAN REPORTS IN PHYSICS
sì
2-s2.0-85014163422
WOS:000392048600006
Esperti anonimi
Inglese
Internazionale
ELETTRONICO
68
1407
1424
18
Families of exact explicit nonsingular rational soliton (lump) solutions of any order to the Kadomtsev-Petviashvili I equation are presented in a compact form. We show that the higher-order lump solutions may exhibit rich patterns on a finite background, but invariably evolve from a vertical distribution at large negative time into a horizontal distribution at large positive time, within an appropriate Galilean transformed frame. A universal polynomial equation is then put forward, whose real roots can accurately determine the lump positions in such a complex multi-lump distribution. We also unveil that there is an intimate relation between certain lump structures and the rogue-wave hierarchy. We expect that this finding may provide a new pathway for understanding the higher-dimensional rogue waves.
sì
4
info:eu-repo/semantics/article
262
Shihua, Chen; Grelu, Philippe; Mihalache, Dumitru; Baronio, Fabio
1 Contributo su Rivista::1.1 Articolo in rivista
none
1.1 Articolo in rivista
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/487807
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