A two-component modified Korteweg–de Vries equation: Riemann–Hilbert problem and multi-soliton solutions. Issue 3 (4th March 2021)

• Record Type: Journal Article
• Authors: Yan, Xue-Wei
• Is Part Of: International journal of computer mathematics. Volume 98:Issue 3(2021)
• Page Start: 569
• Page End: 579
• Publication Date: 2021-03-04
• Subjects: Two-component modified Korteweg–de Vries equation -- inverse scattering transform -- Riemann–Hilbert problem -- multi-soliton solutions -- Lax pairs; PACS 35Q51 -- 35Q53 -- 35C99 -- 68W30 -- 74J35; Computers -- Periodicals; Numerical analysis -- Periodicals; Automation -- Periodicals; 004.0151
• DOI: 10.1080/00207160.2020.1759804
• Languages: English
• ISSNs: 0020-7160

Abstract

Abstract : In this paper, the inverse scattering transform of a two-component modified Korteweg–de Vries equation is under investigation, which is one of the important nonlinear models in mathematics and physics. The spectral analysis with a 4 × 4 Lax pair is performed for the two-component modified Korteweg–de Vries equation, from which a Riemann Hilbert problem is strictly formulated. Moreover, multi-soliton solutions to the two-component modified Korteweg–de Vries equation are obtained through a particular Riemann–Hilbert formulation. Finally, some figures are presented to reveal the soliton features of the two-component modified Korteweg–de Vries equation.