2026-09-15T06:17:46Zhttps://gredos.usal.es/oai/requestoai:gredos.usal.es:10366/1698912026-02-20T01:02:04Zcom_10366_4092com_10366_4055com_10366_3946com_10366_3823col_10366_4093
Gestión del Repositorio Documental de la Universidad de Salamanca
author
Albares Vicente, Paz
author
García Estévez, Pilar
2026-02-19T07:30:19Z
2026-02-19T07:30:19Z
2021
Albares, P., y Estévez, P. G. (2021). Miura-reciprocal transformation and symmetries for the spectral problems of kdv and mkdv. Mathematics, 9(9), 926. https://doi.org/10.3390/math9090926
http://hdl.handle.net/10366/169891
10.3390/math9090926
2227-7390
[EN] We present reciprocal transformations for the spectral problems of Korteveg de Vries (KdV) and modified Korteveg de Vries (mKdV) equations. The resulting equations, RKdV (reciprocal KdV) and RmKdV (reciprocal mKdV), are connected through a transformation that combines both Miura and reciprocal transformations. Lax pairs for RKdV and RmKdV are straightforwardly obtained by means of the aforementioned reciprocal transformations. We have also identified the classical Lie symmetries for the Lax pairs of RKdV and RmKdV. Non-trivial similarity reductions are computed and they yield non-autonomous ordinary differential equations (ODEs), whose Lax pairs are obtained as a consequence of the reductions.
eng
Atribución 4.0 Internacional
Symmetry groups
Conservation laws
Partial differential equations
Miura-Reciprocal Transformation and Symmetries for the Spectral Problems of KdV and mKdV
info:eu-repo/semantics/article
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URL
https://gredos.usal.es/bitstream/10366/169891/1/DFF_AlvaresVicenteP_MiuraReciprocal.pdf
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DFF_AlvaresVicenteP_MiuraReciprocal.pdf.txt