Space curve evolution, geometric phase, and solitons

DOI10.1007/BF01016130zbMath0856.35111MaRDI QIDQ1918811

Radha Balakrishnan

Publication date: 19 February 1997

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Darboux-Ribaucour equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Curves in Euclidean and related spaces (53A04)

Related Items (4)

Three classes of non-lightlike curve evolution according to Darboux frame and geometric phase ⋮ New fractional Heisenberg antiferromagnetic model and solitonic magnetic flux surfaces with normal direction ⋮ Derivative and higher-order extensions of Davey–Stewartson equation from matrix Kadomtsev–Petviashvili hierarchy ⋮ Parallel transports and related phases according to Frenet and Darboux frame in ℝ13

Cites Work

• Unnamed Item
• Nonlinear-Evolution Equations of Physical Significance
• Solitons on moving space curves
• Geometric phase in the classical continuous antiferromagnetic Heisenberg spin chain
• The Korteweg–de Vries hierarchy as dynamics of closed curves in the plane
• Integrability and the motion of curves

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