2026-09-15T14:37:29Zhttps://gredos.usal.es/oai/requestoai:gredos.usal.es:10366/1698882026-02-20T01:02:01Zcom_10366_4092com_10366_4055com_10366_3946com_10366_3823col_10366_4093
A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method
Albares Vicente, Paz
García Estévez, Pilar
Integrability
Complex mKdV equation
Singular Manifold Method
Lax pair
Derboux transformations
Soliton solutions
[EN] In this paper, we introduce a modification of the Singular Manifold Method in order to derive the associated spectral problem for a generalization of the complex version of the modified Korteweg–de Vries equation. This modification yields the right Lax pair and allows us to implement binary Darboux transformations, which can be used to construct an iterative method to obtain exact solutions
2026-02-19
2026-02-19
2023
info:eu-repo/semantics/article
Albares, P., & Estévez, P. G. (2023). A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method. Mathematics, 11(4), 859. https://doi.org/10.3390/math11040859
http://hdl.handle.net/10366/169888
10.3390/math11040859
2227-7390
eng
https://doi.org/10.3390/math11040859
Ministerio de Ciencia, Innovación y Universidades (PID2019-106820RB-C22)
Junta de Castilla y León (SA121P20)
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
Atribución 4.0 Internacional
MDPI