On billiard solutions of nonlinear PDEs
From MaRDI portal
Publication:1569454
DOI10.1016/S0375-9601(99)00784-7zbMath0944.37032MaRDI QIDQ1569454
Jerrold E. Marsden, Darryl D. Holm, Yuri N. Fedorov, Roberto Camassa, Mark S. Alber
Publication date: 3 July 2000
Published in: Physics Letters. A (Search for Journal in Brave)
KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)
Related Items
On the traveling waves governed by the Camassa-Holm equation, Multi-soliton solution to the two-component Hunter-Saxton equation, Geometry of thin films, Algebro-geometric solutions of the Camassa-Holm hierarchy, Bifurcations of traveling wave solutions from KdV equation to Camassa-Holm equation, Complex Angle Variables for Constrained Integrable Hamiltonian Systems, Negative order MKdV hierarchy and a new integrable Neumann-like system, Integrable hierarchy, \(3\times 3\) constrained systems, and parametric solutions, Peakon solutions of the shallow water equation, A new integrable hierarchy, parametric solutions and traveling wave solutions, On the Cauchy problem of the Camassa-Holm equation, On the Camassa-Holm and K-dV hierarchies, Estimates for the KdV-limit of the Camassa-Holm equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mechanical systems related to the Schrödinger spectral problem.
- Coupled KdV equations with multi-Hamiltonian structures
- Discrete versions of some classical integrable systems and factorization of matrix polynomials
- Hidden hierarchies of KdV type on Birkhoff strata
- The geometry of peaked solitons and billiard solutions of a class of integrable PDE's
- On a completely integrable nonlinear hyperbolic variational equation
- An integrable Hamiltonian system
- Geodesics on quadrics and a mechanical problem of C. Neumann.
- The Periodic Cubic Schrõdinger Equation
- An integrable shallow water equation with peaked solitons
- On the link between umbilic geodesics and soliton solutions of nonlinear PDEs
- A completely integrable Hamiltonian system