Integrable nonlocal wave interaction models

DOI10.1088/1751-8113/44/5/052002zbMath1213.35029OpenAlexW1972735136MaRDI QIDQ3078622

Antonio Degasperis

Publication date: 1 March 2011

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

Full work available at URL: https://doi.org/10.1088/1751-8113/44/5/052002

zbMATH Keywords

initial-boundary value problemnonlinear opticsspectral methodsboomeronic equationsnonlinear and nonlocal interaction of waves

Mathematics Subject Classification ID

Other special methods applied to PDEs (35A25) Geometric optics (78A05)

Related Items (5)

Integrability and linear stability of nonlinear waves ⋮ \(N\)-fold generalized Darboux transformation and soliton interactions for a three-wave resonant interaction system in a weakly nonlinear dispersive medium ⋮ Three-wave resonant interactions: multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics ⋮ Integrability of nonlinear wave equations and solvability of their initial value problem ⋮ Rogue waves of wave resonant-interaction equations with the higher-order effects

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