Rigorous analysis of the unified transform method and long-range instabilities for the inhomogeneous time-dependent Schrödinger equation on the quarter-plane-Reference-Cited by-同舟云学术

Rigorous analysis of the unified transform method and long-range instabilities for the inhomogeneous time-dependent Schrödinger equation on the quarter-plane

Published:2023-10-09 Issue: Volume: Page:
ISSN:0025-5831
Container-title:Mathematische Annalen
language:en
Short-container-title:Math. Ann.

Author:

Chatziafratis Andreas,Ozawa Tohru,Tian Shou-Fu

Funder

Grant-in-Aid for Scientific Research

National Natural Science Foundation of China

Six Talent Peaks Project in Jiangsu Province, China

Johann Radon Institute for Computational and Applied Mathematics (RICAM) of the Austrian Academy of Sciences

Riemann International School of Mathematics

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00208-023-02698-4.pdf

Reference136 articles.

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2. Fokas, A.S., Gelfand, I.M.: Integrability of linear and nonlinear evolution equations and the associated nonlinear Fourier transforms. Lett. Math. Phys. 32, 189–210 (1994)

3. Fokas, A.S.: Lax pairs: A novel type of separability (invited paper for the special volume of the 25th anniversary of Inverse Problems). Inverse Probl. 25, 1–44 (2009)

4. Fokas, A.S., Pelloni, B.: The solution of certain IBV problems for the linearized KdV equation. Proc. R. Soc. Lond. A 454, 645–657 (1998)

5. Fokas, A.S.: On the integrability of linear and nonlinear partial differential equations. J. Math. Phys. 41, 4188–4237 (2000)

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