Existence and uniqueness of low regularity solutions for the Dullin-Gottwald-Holm equation
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Publication:863126
DOI10.1007/s00220-006-1532-9zbMath1106.35084OpenAlexW2159313963MaRDI QIDQ863126
Publication date: 25 January 2007
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-006-1532-9
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Cites Work
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- On the Korteweg-de Vries equation
- Semigroups of linear operators and applications to partial differential equations
- Wave breaking for nonlinear nonlocal shallow water equations
- Geodesic flow on the diffeomorphism group of the circle
- Global weak solutions for a shallow water equation
- Stability of the Camassa-Holm solitons
- Extension on peaked wave solutions of CH-\(\gamma\) 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
- On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation
- A shallow water equation on the circle
- A Modern Introduction to the Mathematical Theory of Water Waves
- Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves
- On the geometric approach to the motion of inertial mechanical systems
- Stability of peakons
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- A Variational Approach to the Stability of Periodic Peakons
- Solitary shock waves and other travelling waves in a general compressible hyperelastic rod
- On the Cauchy problem for a generalized Camassa-Holm equation
- On the Cauchy problem for the Camassa-Holm equation
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