High-order soliton solutions and their dynamics in the inhomogeneous variable coefficients Hirota equation

• Published in: Communications in nonlinear science & numerical simulation Vol. 120; p. 107149
• Main Authors: Zhou, Hui-Juan, Chen, Yong
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.06.2023
• Subjects: High-order soliton; Inhomogeneous variable coefficient Hirota equation; Relationship transformation; Riemann–Hilbert problem; Relationship transformation; High-order soliton; Inhomogeneous variable coefficient Hirota equation; Riemann–Hilbert problem

A series of new soliton solutions is presented for the inhomogeneous variable coefficient Hirota equation by using the Riemann–Hilbert method and transformation relationship. Firstly, through a standard dressing procedure, the N-soliton matrix associated with the simple zeros in the Riemann–Hilbert...