Geometry of Darboux-Manakov-Zakharov systems and its application

2010/02/04 by Peter J. Vassiliou, Vassiliou, Peter J.
Mathematics · Physics and Astronomy · #35N05 #53B05 #58A17 #58A30 #58D19 #58J45 #Differential Geometry (math.DG) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.1002.0870

openalex publication_date 2010/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The intrinsic geometric properties of generalized Darboux-Manakov-Zakharov systems of semilinear partial differential equations (∂² u)/(∂ x_i∂ x_j)=f_ij(x_k,u,(∂ u)/(∂ x_l)), 1≤ i

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