Soliton, breather and rogue wave solutions for the Myrzakulov–Lakshmanan-IV equation

In this paper, we will focus on the Myrzakulov–Lakshmanan-IV (ML-IV) equation. Based on relevant Lax pair, N-fold generalized Darboux Transformation (DT) will be constructed. Some soliton, breather and rogue wave solutions will be derived under different backgrounds through the odtained DT. In the m...

Full description

Saved in:
Bibliographic Details
Published inOptik (Stuttgart) Vol. 242; p. 166353
Main Authors Wang, Hai-Rong, Guo, Rui
Format Journal Article
LanguageEnglish
Published Elsevier GmbH 01.09.2021
Subjects
Breathers
Generalized Darboux transformation
Rogue waves
Solitons
The Myrzakulov–Lakshmanan-IV equation
The Myrzakulov–Lakshmanan-IV equation
Rogue waves
Generalized Darboux transformation
Solitons
Breathers
Online AccessGet full text

Cover

More Information
Summary:In this paper, we will focus on the Myrzakulov–Lakshmanan-IV (ML-IV) equation. Based on relevant Lax pair, N-fold generalized Darboux Transformation (DT) will be constructed. Some soliton, breather and rogue wave solutions will be derived under different backgrounds through the odtained DT. In the meantime we will analyze the dynamic features of those solutions graphically. •Construct the N-fold Darboux Transformation.•Obtain a variety of types of exact solutions including soliton solutions, breather solutions and rogue wave solutions.•Analyze dynamic behaviors of those solutions.
ISSN:0030-4026
1618-1336
DOI:10.1016/j.ijleo.2021.166353