Three-dimensional three-wave interactions: A bilinear approach

DOI10.1088/0305-4470/31/1/030zbMath0943.35079OpenAlexW2066364242MaRDI QIDQ4950188

Mark C. Ratter, Claire R. Gilson

Publication date: 8 May 2000

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

Full work available at URL: https://doi.org/10.1088/0305-4470/31/1/030

zbMATH Keywords

KP hierarchyBäcklund transformationPainlevé analysisGrammianbilinear approachthree-wave resonance equation

Mathematics Subject Classification ID

Soliton equations (35Q51) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (5)

On the three-dimensional three-wave equation with self-consistent sources ⋮ Discrete three-dimensional three wave interaction equation with self-consistent sources ⋮ Rogue waves in (2+1)-dimensional three-wave resonant interactions ⋮ Nonlinear stability, excitation and soliton solutions in electrified dispersive systems ⋮ Pfaffianization of the discrete three-dimensional three wave interaction equation

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