On the inverse scattering approach and action-angle variables for the Dullin-Gottwald-Holm equation
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Publication:1000741
DOI10.1016/j.physd.2008.08.014zbMath1155.76014OpenAlexW1985951316MaRDI QIDQ1000741
Ognyan Christov, Sevdzhan A. Hakkaev
Publication date: 10 February 2009
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2008.08.014
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
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Cites Work
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- Global conservative solutions of the Camassa-Holm equation
- On geodesic exponential maps of the Virasoro group
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Poisson structure for the KdV equation
- Korteweg - de Vries suoerequation as an Euler equation
- Acoustic scattering and the extended Korteweg-de Vries hierarchy
- Wave breaking for nonlinear nonlocal shallow water equations
- A shallow water equation as a geodesic flow on the Bott-Virasoro group
- Geodesic flow on the diffeomorphism group of the circle
- On asymptotically equivalent shallow water wave equations
- On the inverse scattering approach for an integrable shallow water wave equation
- Stability of the Camassa-Holm solitons
- Well-posedness, blow up, and global existence for an integrable shallow water equation
- Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
- Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- Poisson structure and action-angle variables for the Camassa-Holm equation
- Korteweg-de Vries equation: a completely integrable Hamiltonian system
- On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation
- On the scattering problem for the Camassa-Holm equation
- Inverse scattering transform for the Camassa–Holm equation
- Conjugate points in the Bott-Virasoro group and the KdV equation
- Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- The Scattering Approach for the Camassa—Holm equation
- Generalized Fourier transform for the Camassa–Holm hierarchy
