∂̄-Dressing method for a generalized Hirota equation-Reference-Cited by-同舟云学术

∂̄-Dressing method for a generalized Hirota equation

Published:2022-06-01 Issue:19 Volume:36 Page:
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

Huang Yehui¹^ORCID,Di Jingjing¹,Yao Yuqin²

Affiliation:

1. School of Mathematics and Physics, North China Electric Power University, Beijing 102206, P. R. China

2. Department of Applied Mathematics, China Agricultural University, Beijing 100083, P. R. China

Abstract

Based on a [Formula: see text] matrix [Formula: see text] problem, we have obtained the Lax pair by constructing a spectral transformation matrix. The Hirota equation with self-consistent sources is derived by considering the nonanalytic part of the dispersion relation. Furthermore, explicit solutions including N-soliton solutions are computed by [Formula: see text]-dressing method, and N-soliton solutions of the Hirota equation with self-consistent sources are obtained by using the properties of Cauchy matrix. The dynamic behavior of soliton solutions is analyzed.

Funder

National Natural Science Foundation of China

Beijing Natural Science Foundation

Fundamental Research Funds for Central Universities of the Central South University

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979222501119

Reference46 articles.

1. Water waves, nonlinear Schrödinger equations and their solutions