Limits of soliton solutions
DOI10.1215/S0012-7094-92-06805-0zbMath0811.35122OpenAlexW2048718239MaRDI QIDQ1202448
Friedrich Gesztesy, Witold Karwowski, Zhongxin Zhao
Publication date: 2 February 1993
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-92-06805-0
inverse scattering transformKdV equationToda latticeKadomtsev- Petviashvili equationAKNS-classscattering properties of the Schrödinger operator
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Note on the absolutely continuous spectrum of Sturm-Liouville operators
- Geometry of the modulational instability. III: Homoclinic orbits for the periodic sine-Gordon equation
- Loop groups and equations of KdV type
- Dense point spectra of Schrödinger and Dirac operators
- Inverse problem for Sturm-Liouville and Hill equations
- Almost periodicity of some random potentials
- On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators
- On the bound state of Schrödinger operators in one dimension
- The bound state of weakly coupled Schrödinger operators in one and two dimensions
- Applications of a commutation formula
- Perturbation theory for linear operators.
- The trace formula for Schrödinger operators on the line
- Korteweg-de Vries equation: a completely integrable Hamiltonian system
- Continuity of wave and scattering operators with respect to interactions
- Reflectionless Transmission through Dielectrics and Scattering Potentials
- Commutation Methods Applied to the mKdV-Equation
- ON THE CLOSURE OF THE SET OF FINITE-ZONE POTENTIALS
- The generation of modulated wavetrains in the solution of the Korteweg—de vries equation
- On subordinacy and analysis of the spectrum of Schrödinger operators with two singular endpoints
- A particular N-soliton solution and scalar wave equations
- Korteweg‐devries equation and generalizations. VI. methods for exact solution
- ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS
- Inverse scattering on the line
- On Schrödinger's factorization method for Sturm-Liouville operators
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation