Accelerating solutions of the Korteweg-de Vries equation

DOI10.1088/1751-8121/ad9127MaRDI QIDQ6649918

Maricarmen A. Winkler, Felipe A. Asenjo

Publication date: 6 December 2024

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

zbMATH Keywords

nonlinear wavesKorteweg-de Vries equationnonliner physics

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) KdV equations (Korteweg-de Vries equations) (35Q53) Lasers, masers, optical bistability, nonlinear optics (78A60) Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07) Soliton solutions (35C08)

Cites Work

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• On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves.
• Painlevé equations -- nonlinear special functions.
• Applications of KdV
• Burger's-Korteweg-de Vries equation for viscoelastic rods and plates
• CELLULAR NONLINEAR NETWORKS MEET KdV EQUATION: A NEW PARADIGM
• Optical Soliton Propagation in a Coupled System of the Nonlinear Schrödinger Equation and the Maxwell-Bloch Equations
• Coupled discrete KdV equations and modular genetic networks

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