Large time asymptotics for the Grinevich-Zakharov potentials
From MaRDI portal
Publication:545197
DOI10.1016/j.bulsci.2011.02.003zbMath1219.35237arXiv1011.4038OpenAlexW3105033883MaRDI QIDQ545197
A. V. Kazeykina, Roman G. Novikov
Publication date: 22 June 2011
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.4038
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Theoretical approximation in context of PDEs (35A35) Soliton equations (35Q51) Traveling wave solutions (35C07) Soliton solutions (35C08)
Related Items
Absence of solitons with sufficient algebraic localization for the Novikov-Veselov equation at nonzero energy ⋮ Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation. II. ⋮ IST Versus PDE: A Comparative Study ⋮ Numerical study of blow-up and stability of line solitons for the Novikov–Veselov equation ⋮ Well-posedness and ill-posedness results for the Novikov-Veselov equation
Cites Work
- Absence of exponentially localized solitons for the Novikov-Veselov equation at positive energy
- Recovering asymptotics of short range potentials
- Rational solitons of the Veselov-Novikov equations are reflectionless two-dimensional potentials at fixed energy
- Scattering transformation at fixed non-zero energy for the two-dimensional Schrödinger operator with potential decaying at infinity
- A Large Time Asymptotics for Transparent Potentials for the Novikov–Veselov Equation at Positive Energy
- On the Inverse Scattering of the Time-Dependent Schrödinger Equation and the Associated Kadomtsev-Petviashvili (I) Equation
- On inverse scattering at a fixed energy for potentials with a regular behaviour at infinity
- Inverse scattering with fixed energy for dilation-analytic potentials
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
