Rarefaction waves for the Toda equation via nonlinear steepest descent
DOI10.3934/dcds.2018081zbMath1394.37106arXiv1701.02867OpenAlexW3105036953WikidataQ57343444 ScholiaQ57343444MaRDI QIDQ1661044
Johanna Michor, Gerald Teschl, Iryna Egorova
Publication date: 16 August 2018
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.02867
KdV equations (Korteweg-de Vries equations) (35Q53) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Riemann-Hilbert problems in context of PDEs (35Q15)
Related Items (max. 100)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rarefaction waves of the Korteweg-de Vries equation via nonlinear steepest descent
- Scattering theory with finite-gap backgrounds: transformation operators and characteristic properties of scattering data
- Wave phenomena of the Toda lattice with steplike initial data
- Long-time asymptotics for the Toda lattice in the soliton region
- Theory of nonlinear lattices.
- THE LARGE‐TIME DEVELOPMENT OF THE SOLUTION TO AN INITIAL‐VALUE PROBLEM FOR THE KORTEWEG–DE VRIES EQUATION. II. INITIAL DATA HAS A DISCONTINUOUS COMPRESSIVE STEP
- Large N Asymptotics in Random Matrices
- The large-time development of the solution to an initial-value problem for the Korteweg–de Vries equation: I. Initial data has a discontinuous expansive step
- Scattering Theory for Jacobi Operators with General Steplike Quasi-Periodic Background
- Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds
- LONG-TIME ASYMPTOTICS OF THE TODA LATTICE FOR DECAYING INITIAL DATA REVISITED
- The toda shock problem
- The collisionless shock region for the long‐time behavior of solutions of the KdV equation
- Soliton asymptotics of the Cauchy problem solution for the Toda lattice
- The Toda lattice with step-like initial data. Soliton asymptotics
This page was built for publication: Rarefaction waves for the Toda equation via nonlinear steepest descent