Partial degeneration of finite gap solutions to the Korteweg–de Vries equation: soliton gas and scattering on elliptic backgrounds

DOI10.1088/1361-6544/accfdfzbMath1516.35368arXiv2210.01350OpenAlexW4380723438MaRDI QIDQ6097756

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Publication date: 7 June 2023

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.01350

zbMATH Keywords

solitonsKorteweg-de Vries equationintegrable PDEsoliton gas

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Relationships between algebraic curves and integrable systems (14H70) Elliptic functions and integrals (33E05) Theta functions and curves; Schottky problem (14H42) Soliton solutions (35C08)

Related Items (2)

KdV breathers on a cnoidal wave background ⋮ Multi-elliptic-dark soliton solutions of the defocusing nonlinear Schrödinger equation

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