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nlin.SI2020★ 6 cited
Derivative non-linear Schrödinger equation: Singular manifold method and Lie symmetries
Paz Albares, Pilar García Estévez, Juan Domingo Lejarreta
We present a generalized study and characterization of the integrability properties of the derivative non-linear Schrödinger equation in 1+1 dimensions. A Lax pair is derived for t…
nlin.SI2015
Iterative symmetry search and reduction of a wave water model in dimensions
P. G. Estévez, J. D. Lejarreta, C. Sardón
We present the iterative classical point symmetry analysis of a shallow water wave equation in dimensions and that of its corresponding nonisospectral, two component Lax pair…