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

Paz Albares and Pilar G. Estévez ()
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Paz Albares: Departamento de Física Fundamental, Universidad de Salamanca, 37008 Salamanca, Spain
Pilar G. Estévez: Departamento de Física Fundamental, Universidad de Salamanca, 37008 Salamanca, Spain

Mathematics, 2023, vol. 11, issue 4, 1-13

Abstract: 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.

Keywords: integrability; complex mKdV equation; Singular Manifold Method; Lax pair; Darboux transformations; soliton solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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