Solitons, the Korteweg-de Vries equation with step boundary values, and pseudo-embedded eigenvalues

Author:

Ablowitz M. J.1,Luo X.-D.2ORCID,Cole J. T.1

Affiliation:

1. Department of Applied Mathematics, University of Colorado, Boulder, Colorado 80309, USA

2. Department of Mathematics, State University of New York at Buffalo, Buffalo, New York 14260-2900, USA

Funder

National Science Foundation

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

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1. A Riemann–Hilbert method to algebro-geometric solutions of the Korteweg–de Vries equation;Physica D: Nonlinear Phenomena;2023-11

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3. KdV breathers on a cnoidal wave background;Journal of Physics A: Mathematical and Theoretical;2023-04-13

4. Solitons on the rarefaction wave background via the Darboux transformation;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2022-11

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