A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method

Autor: Paz Albares, Pilar G. Estévez
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Mathematics, Vol 11, Iss 4, p 859 (2023)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math11040859
Popis: 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.
Databáze: Directory of Open Access Journals
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