Título
A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method
Autor(es)
Palabras clave
Integrability
Complex mKdV equation
Singular Manifold Method
Lax pair
Derboux transformations
Soliton solutions
Clasificación UNESCO
1202.20 Ecuaciones Diferenciales en derivadas Parciales
Fecha de publicación
2023
Editor
MDPI
Citación
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
Resumen
[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
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DOI
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