A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method-Reference-Cited by-同舟云学术

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

Published:2023-02-08 Issue:4 Volume:11 Page:859
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Albares Paz¹²^ORCID,Estévez Pilar G.¹^ORCID

Affiliation:

1. Departamento de Física Fundamental, Universidad de Salamanca, 37008 Salamanca, Spain

2. Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS, UK

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.

Funder

MICINN

Junta de Castilla y León

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/4/859/pdf

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