INTRINSIC FORMULATION OF GEOMETRIC INTEGRABILITY AND ASSOCIATED RICCATI SYSTEM GENERATING CONSERVATION LAWS
From MaRDI portal
Publication:3401897
DOI10.1142/S0219887809003771zbMath1188.53090arXiv0712.1807MaRDI QIDQ3401897
Publication date: 1 February 2010
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0712.1807
KdV equations (Korteweg-de Vries equations) (35Q53) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Applications of global differential geometry to the sciences (53C80) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items
Geometric methods to investigate prolongation structures for differential systems with applications to integrable systems ⋮ GEOMETRIC APPROACHES TO PRODUCE PROLONGATIONS FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
Cites Work
- Conservation laws and Calapso–Guichard deformations of equations describing pseudo-spherical surfaces
- Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
- Symmetry properties and explicit solutions of the generalized Weierstrass system
- General Derivation of Bäcklund Transformations from Inverse Scattering Problems
- Conservation laws for nonlinear evolution equations
- Bäcklund Transformations and Inverse Scattering Solutions for Some Pseudospherical Surface Equations
- Pseudospherical Surfaces and Evolution Equations
- Inverse Scattering and the Bäcklund Transformation for the Generalized Wave and Generalized Sine‐Gordon Equations
- Some geometric aspects of integrability of differential equations in two independent variables
