Unfamiliar Aspects of Bäcklund Transformations and an Associated Degasperis–Procesi Equation

A. G. Rasin; J. Schiff

doi:10.1134/S0040577918090076

Unfamiliar Aspects of Bäcklund Transformations and an Associated Degasperis–Procesi Equation

A. G. Rasin, J. Schiff

מתמטיקה

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

5 ציטוטים ‏(Scopus)

תקציר

We summarize the results of our recent work on Bäcklund transformations (BTs), particularly focusing on the relation between BTs and infinitesimal symmetries. We present a BT for an associated Degasperis–Procesi (aDP) equation and its superposition principle and investigate the solutions generated by applying this BT. Following our general methodology, we use the superposition principle of the BT to generate the infinitesimal symmetries of the aDP equation.

שפה מקורית	אנגלית
עמודים (מ-עד)	1333-1346
מספר עמודים	14
כתב עת	Theoretical and Mathematical Physics(Russian Federation)
כרך	196
מספר גיליון	3
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.1134/S0040577918090076
סטטוס פרסום	פורסם - 1 ספט׳ 2018

גישה למסמך

10.1134/S0040577918090076

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

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abstract = "We summarize the results of our recent work on B{\"a}cklund transformations (BTs), particularly focusing on the relation between BTs and infinitesimal symmetries. We present a BT for an associated Degasperis–Procesi (aDP) equation and its superposition principle and investigate the solutions generated by applying this BT. Following our general methodology, we use the superposition principle of the BT to generate the infinitesimal symmetries of the aDP equation.",

keywords = "B{\"a}cklund transformation, Degasperis–Procesi equation, soliton, superposition principle, symmetry",

author = "Rasin, {A. G.} and J. Schiff",

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year = "2018",

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doi = "10.1134/S0040577918090076",

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AB - We summarize the results of our recent work on Bäcklund transformations (BTs), particularly focusing on the relation between BTs and infinitesimal symmetries. We present a BT for an associated Degasperis–Procesi (aDP) equation and its superposition principle and investigate the solutions generated by applying this BT. Following our general methodology, we use the superposition principle of the BT to generate the infinitesimal symmetries of the aDP equation.

KW - Bäcklund transformation

KW - Degasperis–Procesi equation

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KW - superposition principle

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Unfamiliar Aspects of Bäcklund Transformations and an Associated Degasperis–Procesi Equation

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