Geodesic flow and two (super) component analog of the Camassa-Holm equation.
Guha, Partha, Olver, Peter J. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “Hamiltonian flows of curves in and vector soliton equations of mKdV and sine-Gordon type.”
Geodesic flow and two (super) component analog of the Camassa-Holm equation.
On a nonlocal Ostrovsky-Whitham type dynamical system, its Riemann type inhomogeneous regularizations and their integrability.
Golenia, Jolanta, Pavlov, Maxim V., Popowicz, Ziemowit, Prykarpatsky, Anatoliy K. (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Geometric realizations of bi-Hamiltonian completely integrable systems.
Beffa, Gloria Marí (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Self-consistent-field method and -functional method on group manifold in soliton theory: a review and new results.
Nishiyama, Seiya, Da Providência, João, Providência, Constança, Cordeiro, Flávio, Komatsu, Takao (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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On integrability of a special class of two-component (2+1)-dimensional hydrodynamic-type systems.
Pavlov, Maxim V., Popowicz, Ziemowit (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Supersymmetric representations and integrable fermionic extensions of the Burgers and Boussinesq equations.
Kiselev, Arthemy V., Wolf, Thomas (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Prolongation loop algebras for a solitonic system of equations.
Agrotis, Maria A. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Lax integrable supersymmetric hierarchies on extended phase spaces.
Hentosh, Oksana Ye. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Classical -operators and integrable generalizations of Thirring equations.
Skrypnyk, Taras V. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Hamiltonian structure of pi hierarchy.
Takasaki, Kanehisa (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Generalized Hasimoto transform of one-dimensional dispersive flows into compact Riemann surfaces.
Onodera, Eiji (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Geometrical methods in hydrodynamics
Adrian Constantin (2001)
Journées équations aux dérivées partielles
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We describe some recent results on a specific nonlinear hydrodynamical problem where the geometric approach gives insight into a variety of aspects.