3 citations · 4 across the 4 of their papers we have counts for
7 papers
Miura-reciprocal transformation and symmetries for the spectral problems of KdV and mKdV
Paz Albares, Pilar García Estévez
We present reciprocal transformations for the spectral problems of Korteveg de Vries (KdV) and modified Korteveg de Vries (mKdV) equations. The resulting equations, RKdV (reciproca…
Integrability and rational soliton solutions for gauge invariant derivative nonlinear Schrödinger equations
Paz Albares
The present work addresses the study and characterization of the integrability of three famous nonlinear Schrödinger equations with derivative-type nonlinearities in 1+1 dimensions…
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…
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…
Spectral problem for a two-component nonlinear Schrödinger equation in dimensions: Singular manifold method and Lie point symmetries
Paz Albares, Juan Manuel Conde, Pilar García Estévez
An integrable two-component nonlinear Schrödinger equation in dimensions is presented. The singular manifold method is applied in order to obtain a three-component Lax pair.…
Classical Lie symmetries and reductions for a generalized NLS equation in 2+1 dimensions
P. Albares, J. M. Conde, P. G. Estévez
A non-isospectral linear problem for an integrable 2+1 generalization of the non linear Schrödinger equation, which includes dispersive terms of third and fourth order, is presente…