On traveling waves of the quadratic-cubic Degasperis-Procesi equation
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Publication:2172588
DOI10.1007/s00605-021-01643-4zbMath1497.35371OpenAlexW3212435884MaRDI QIDQ2172588
Publication date: 16 September 2022
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-021-01643-4
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Traveling wave solutions (35C07) Symmetries, invariants, etc. in context of PDEs (35B06)
Cites Work
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- Exponential decay and symmetry of solitary waves to Degasperis-Procesi equation
- On the well-posedness of the Degasperis-Procesi equation
- Global weak solutions and blow-up structure for the Degasperis-Procesi equation
- Global conservative solutions of the Camassa-Holm equation
- Formation and dynamics of shock waves in the Degasperis-Procesi equation
- A remark on the stability of peakons for the Degasperis-Procesi equation
- Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Wave breaking for nonlinear nonlocal shallow water equations
- A shallow water equation as a geodesic flow on the Bott-Virasoro group
- A note on well-posedness for Camassa-Holm equation.
- On the Cauchy problem for an integrable equation with peakon solutions
- A few remarks on the Camassa-Holm equation.
- Stability of the Camassa-Holm solitons
- On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
- The Camassa Holm equation: Conserved quantities and the initial value problem
- 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
- Asymptotic profile of solutions to the Degasperis-Procesi equation
- Bifurcations of smooth and nonsmooth traveling wave solutions in a generalized Degasperis-Procesi equation
- Global existence and blow-up phenomena for the Degasperis-Procesi equation
- Traveling wave solutions of the Camassa-Holm equation
- On the Cauchy problem for the Degasperis-Procesi equation
- GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
- Stability of peakons for the Degasperis-Procesi equation
- Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves
- Stability of peakons
- The Camassa–Holm equation as a geodesic flow on the diffeomorphism group
- On the Blow-up Phenomena for the Degasperis-Procesi Equation
- Numerical schemes for computing discontinuous solutions of the Degasperis Procesi equation
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