Art

J-GLOBAL ID：201902229976552757   Reference number：19A0098796

Defocusing mKdV flow on centroaffine plane curves

中心アフィン平面曲線上のMkdvフローのデフォーカシング

Author (4)： Park Hyeongki (Graduate School of Mathematics, Kyushu University) ,  Kajiwara Kenji (Institute of Mathematics for Industry, Kyushu University) ,  Kurose Takashi (Department of Mathematical Sciences, Kwansei Gakuin University) ,  Matsuura Nozomu (Department of Education and Creation Engineering, Kurume Institute of Technology)
Material： JSIAM Letters (Web)  (JSIAM Lett (Web))
Volume： 10  Page： 25-28(J-STAGE)  Publication year： 2018 
JST Material Number： U0115A  ISSN： 1883-0617  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *affine geometry ,  *Korteweg-de Vries equation ,  *equation ,  numerical analysis ,  focal point ,  function (mathematics) ,  evaluation test ,  *computational fluid dynamics ,  *fluid dynamics ,  *Physics ,  *Science ,  *Mechanics ,  *continuum mechanics ,  *natural science
Semi thesaurus term： *computational fluid dynamics ,  *KdV equation ,  tau function

Author keywords (4)： defocusing mKdV ,  KdV ,  centroaffine geometry ,  equicentroaffine geometry

JST classification (3)： System and control theory in general  (IA02010H) ,  Numerical computation  (JE02000J) ,  Fluid dynamics in general  (BC02010G)

Reference (13)：

• 1) C. Rogers and W.K. Schief, Bäcklund and Darboux transformations: Geometry and modern applications in soliton theory, Cambridge Texts in Applied Mathematics, Cambridge University Press, Cambridge, 2008.
• 2) H. Hasimoto, A soliton on a vortex filament, J. Fluid Mech., 11 (1972), 477-485.
• 3) G. Lamb Jr, Solitons and the motion of helical curves, Phys. Rev. Lett., 37 (1976), 235-237.
• 4) R. E. Goldstein and D. M. Petrich, The Korteweg-de Vries hierarchy as dynamics of closed curves in the plane, Phys. Rev. Lett., 67 (1991), 3203-3206.
• 5) A. Doliwa and P.M. Santini, Integrable dynamics of a discrete curve and the Ablowitz-Ladik hierarchy, J. Math. Phys., 36 (1995), 1259-1273.

Terms in the title (3)： 平面曲線 ,  フロー ,  デフォーカシング