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math-ph2019★ 1 cited
Reciprocal transformations and their role in the integrability and classification of PDEs
P. Albares, P. G. Estévez, C. Sardón
Reciprocal transformations mix the role of the dependent and independent variables of (nonlinear partial) differential equations to achieve simpler versions or even linearized vers…
math-ph2015★ 1 cited
Miura-reciprocal transformations for non-isospectral Camassa-Holm hierarchies in dimensions
P. G. Estévez, C. Sardón
We present two hierarchies of partial differential equations in dimensions. Since there exist reciprocal transformations that connect these hierarchies to the Calogero-Bogoya…