2015/06/24 by P. G. Estévez, P.G. Estévez, Estévez, P. G. +3
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1506.07434
arxiv created 2015/06/24 · arxiv updated 2015/06/25
We present two hierarchies of partial differential equations in 2+1 dimensions. Since there exist reciprocal transformations that connect these hierarchies to the Calogero-Bogoyavlenski-Schiff equation and its modified version, we can prove that one of the hierarchies can be considered as a modified version of the other. The connection between them can be achieved by means of a combination of reciprocal and Miura transformations.