Local isometric immersions and breakdown of manifolds determined by Cauchy problems of the Degasperis-Procesi equation
DOI10.1007/S00332-024-10097-5MaRDI QIDQ6635934
Publication date: 12 November 2024
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Soliton equations (35Q51) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) PDEs on manifolds (35R01)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Second-order equations and local isometric immersions of pseudo-spherical surfaces
- On differential systems describing surfaces of constant curvature
- Pseudo-potentials, nonlocal symmetries and integrability of some shallow water equations
- Formation and dynamics of shock waves in the Degasperis-Procesi equation
- Partial differential equations. I: Basic theory
- Wave breaking for nonlinear nonlocal shallow water equations
- On differential equations describing pseudo-spherical surfaces
- On the Cauchy problem for an integrable equation with peakon solutions
- Geometric integrability of the Camassa-Holm equation
- Equations of pseudo-spherical type (After S. S. Chern and K. Tenenblat)
- Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- Existence, persistence, and continuation of solutions for a generalized 0-Holm-Staley equation
- Structural and qualitative properties of a geometrically integrable equation
- Global existence and blow-up phenomena for the Degasperis-Procesi equation
- Correspondence theorems for hierarchies of equations of pseudo-spherical type
- Third order differential equations describing pseudospherical surfaces
- Efimov's theorem about complete immersed surfaces of negative curvature
- Isometric immersions and differential equations describing pseudospherical surfaces
- Conservation laws and Calapso-Guichard deformations of equations describing pseudo-spherical surfaces
- Third-order differential equations and local isometric immersions of pseudospherical surfaces
- Nonlinear-Evolution Equations of Physical Significance
- From Frenet to Cartan: The Method of Moving Frames
- On solutions to the Holm–Staleyb-family of equations
- Conservation laws for nonlinear evolution equations
- Bäcklund Transformations and Inverse Scattering Solutions for Some Pseudospherical Surface Equations
- PERSISTENCE PROPERTIES FOR THE DEGASPERIS–PROCESI EQUATION
- Well-posedness, blow-up phenomena, and global solutions for the b-equation
- Pseudospherical Surfaces and Evolution Equations
- Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs
- Perturbative symmetry approach
- An integrable shallow water equation with peaked solitons
- Global solutions to a new integrable equation with peakons
- Local isometric immersions of pseudo-spherical surfaces and kth order evolution equations
- On the Blow-up Phenomena for the Degasperis-Procesi Equation
- Fourier analysis. Part I: Theory
- Some geometric aspects of integrability of differential equations in two independent variables
- Remarks on strong global solutions of the \(b\)-equation
- Breakdown of pseudospherical surfaces determined by the Camassa-Holm equation
- Analytic regularity of global solutions for the \(b\)-equation
- A Novikov equation describing pseudo‐spherical surfaces, its pseudo‐potentials, and local isometric immersions
Related Items (1)
This page was built for publication: Local isometric immersions and breakdown of manifolds determined by Cauchy problems of the Degasperis-Procesi equation
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6635934)