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Bäcklund transform

In mathematics, Bäcklund transforms or Bäcklund transformations (named after the Swedish mathematician Albert Victor Bäcklund) relate partial differential equations and their solutions. They are an important tool in soliton theory and integrable systems. A Bäcklund transform is typically a system of first order partial differential equations relating two…

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History

The Cauchy–Riemann equations

The Liouville equation

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Bäcklund transform

Nodes22
Edges21
Triples21
Avg. degree1.91
Density0.090909
Components1

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Bäcklund transform

Top relations

related to External links · 8
Bäcklund transform → Bäcklund, Bäcklund Transformation, EMS Press, Encyclopedia, Eric, Mathematics, MathWorld, Weisstein
related to history · 5
Bäcklund transform → Bianchi, Bäcklund, Gordon, Pseudospherical, This
related to The Cauchy–Riemann equations · 5
Bäcklund transform → Bäcklund, Cauchy, Riemann, The, This
related to The Liouville equation · 2
Bäcklund transform → Bäcklund, For
is a · 1
Bäcklund transform → Cauchy

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Important terminology

bäcklund equation equations transform differential partial solutions displaystyle system transformation linear transforms parameter cauchy riemann example solution functions sine-gordon function

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Bäcklund transformis aCauchy0.90text
Bäcklund transformrelated to External linksBäcklund0.60section
Bäcklund transformrelated to External linksEncyclopedia0.60section
Bäcklund transformrelated to External linksMathematics0.60section
Bäcklund transformrelated to External linksEMS Press0.60section
Bäcklund transformrelated to External linksWeisstein0.60section
Bäcklund transformrelated to External linksEric0.60section
Bäcklund transformrelated to External linksBäcklund Transformation0.60section
Bäcklund transformrelated to External linksMathWorld0.60section
Bäcklund transformrelated to historyBäcklund0.60section
Bäcklund transformrelated to historyBianchi0.60section
Bäcklund transformrelated to historyThis0.60section

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