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- Bäcklund_transform abstract "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 functions, and often depending on an additional parameter. It implies that the two functions separately satisfy partial differential equations, and each of the two functions is then said to be a Bäcklund transformation of the other.A Bäcklund transform which relates solutions of the same equation is called an invariant Bäcklund transform or auto-Bäcklund transform. If such a transform can be found, much can be deduced about the solutions of the equation especially if the Bäcklund transform contains a parameter. However, no systematic way of finding Bäcklund transforms is known.".
- Bäcklund_transform thumbnail Pseudosphere.png?width=300.
- Bäcklund_transform wikiPageExternalLink 2001043453.pdf.
- Bäcklund_transform wikiPageID "701077".
- Bäcklund_transform wikiPageLength "6127".
- Bäcklund_transform wikiPageOutDegree "26".
- Bäcklund_transform wikiPageRevisionID "627806734".
- Bäcklund_transform wikiPageWikiLink Albert_Victor_Bäcklund.
- Bäcklund_transform wikiPageWikiLink Cambridge_University_Press.
- Bäcklund_transform wikiPageWikiLink Category:Differential_geometry.
- Bäcklund_transform wikiPageWikiLink Category:Exactly_solvable_models.
- Bäcklund_transform wikiPageWikiLink Category:Solitons.
- Bäcklund_transform wikiPageWikiLink Category:Surfaces.
- Bäcklund_transform wikiPageWikiLink Category:Transforms.
- Bäcklund_transform wikiPageWikiLink Cauchy–Riemann_equations.
- Bäcklund_transform wikiPageWikiLink Differential_geometry.
- Bäcklund_transform wikiPageWikiLink Harmonic_conjugate.
- Bäcklund_transform wikiPageWikiLink Harmonic_function.
- Bäcklund_transform wikiPageWikiLink Holomorphic_function.
- Bäcklund_transform wikiPageWikiLink Integrability_conditions_for_differential_systems.
- Bäcklund_transform wikiPageWikiLink Integrable_system.
- Bäcklund_transform wikiPageWikiLink Laplaces_equation.
- Bäcklund_transform wikiPageWikiLink Linear_differential_equation.
- Bäcklund_transform wikiPageWikiLink Liouvilles_equation.
- Bäcklund_transform wikiPageWikiLink Luigi_Bianchi.
- Bäcklund_transform wikiPageWikiLink Mathematics.
- Bäcklund_transform wikiPageWikiLink Partial_differential_equation.
- Bäcklund_transform wikiPageWikiLink Pseudosphere.
- Bäcklund_transform wikiPageWikiLink Sine-Gordon_equation.
- Bäcklund_transform wikiPageWikiLink Soliton.
- Bäcklund_transform wikiPageWikiLink File:Pseudosphere.png.
- Bäcklund_transform wikiPageWikiLinkText "Auto-Bäcklund transformation".
- Bäcklund_transform wikiPageWikiLinkText "Bäcklund transform".
- Bäcklund_transform wikiPageWikiLinkText "auto-Bäcklund transformation".
- Bäcklund_transform id "p/b120010".
- Bäcklund_transform title "Bäcklund Transformation".
- Bäcklund_transform title "Bäcklund transformation".
- Bäcklund_transform urlname "BaecklundTransformation".
- Bäcklund_transform wikiPageUsesTemplate Template:Citation.
- Bäcklund_transform wikiPageUsesTemplate Template:Cite_book.
- Bäcklund_transform wikiPageUsesTemplate Template:MathWorld.
- Bäcklund_transform wikiPageUsesTemplate Template:Refbegin.
- Bäcklund_transform wikiPageUsesTemplate Template:Refend.
- Bäcklund_transform wikiPageUsesTemplate Template:See.
- Bäcklund_transform wikiPageUsesTemplate Template:Springer.
- Bäcklund_transform subject Category:Differential_geometry.
- Bäcklund_transform subject Category:Exactly_solvable_models.
- Bäcklund_transform subject Category:Solitons.
- Bäcklund_transform subject Category:Surfaces.
- Bäcklund_transform subject Category:Transforms.
- Bäcklund_transform type Model.
- Bäcklund_transform type Diacritic.
- Bäcklund_transform type Function.
- Bäcklund_transform type Model.
- Bäcklund_transform type Physic.
- Bäcklund_transform type Redirect.
- Bäcklund_transform type Surface.
- Bäcklund_transform type Transform.
- Bäcklund_transform comment "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 functions, and often depending on an additional parameter.".
- Bäcklund_transform label "Bäcklund transform".
- Bäcklund_transform sameAs Q3537515.
- Bäcklund_transform sameAs Transformation_de_Bäcklund.
- Bäcklund_transform sameAs m.033ynw.
- Bäcklund_transform sameAs Q3537515.
- Bäcklund_transform sameAs Bäcklund变换.
- Bäcklund_transform wasDerivedFrom Bäcklund_transform?oldid=627806734.
- Bäcklund_transform depiction Pseudosphere.png.
- Bäcklund_transform isPrimaryTopicOf Bäcklund_transform.