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- Dym_equation abstract "In mathematics, and in particular in the theory of solitons, the Dym equation (HD) is the third-order partial differential equationIt is often written in the equivalent form The Dym equation first appeared in Kruskal and is attributed to an unpublished paper by Harry Dym.The Dym equation represents a system in which dispersion and nonlinearity are coupled together. HD is a completely integrable nonlinear evolution equation that may be solved by means of the inverse scattering transform. It is interesting because it obeys an infinite number of conservation laws; it does not possess the Painlevé property.The Dym equation has strong links to the Korteweg–de Vries equation. The Lax pair of the Harry Dym equation is associated with the Sturm–Liouville operator.The Liouville transformation transforms this operator isospectrally into the Schrödinger operator.Thus by the inverse Liouville transformation solutions of the Korteweg–de Vries equation are transformedinto solutions of the Dym equation. An explicit solution of the Dym equation, valid in a finite interval, is found by an auto-Bäcklund transform".
- Dym_equation thumbnail Dym_eq_Backlund_solution_animation.gif?width=300.
- Dym_equation wikiPageID "2092576".
- Dym_equation wikiPageRevisionID "605281671".
- Dym_equation first "P.J.".
- Dym_equation hasPhotoCollection Dym_equation.
- Dym_equation id "H/h130050".
- Dym_equation last "Vassiliou".
- Dym_equation title "Harry Dym equation".
- Dym_equation subject Category:Exactly_solvable_models.
- Dym_equation subject Category:Solitons.
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- Dym_equation comment "In mathematics, and in particular in the theory of solitons, the Dym equation (HD) is the third-order partial differential equationIt is often written in the equivalent form The Dym equation first appeared in Kruskal and is attributed to an unpublished paper by Harry Dym.The Dym equation represents a system in which dispersion and nonlinearity are coupled together. HD is a completely integrable nonlinear evolution equation that may be solved by means of the inverse scattering transform.".
- Dym_equation label "Dym equation".
- Dym_equation label "迪姆方程".
- Dym_equation sameAs m.06llwn.
- Dym_equation sameAs Q5318827.
- Dym_equation sameAs Q5318827.
- Dym_equation sameAs Dym_equation.
- Dym_equation wasDerivedFrom Dym_equation?oldid=605281671.
- Dym_equation depiction Dym_eq_Backlund_solution_animation.gif.
- Dym_equation isPrimaryTopicOf Dym_equation.
