Darboux-dressing transformation, conservation laws and bound-state solutions of the vector Lakshmanan–Porsezian

Darboux-dressing transformation, conservation laws and bound-state solutions of the vector Lakshmanan–Porsezian–Daniel equation

Published:2021-08-11 Issue:26 Volume:35 Page:2150442
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Mao Jin-Jin¹^ORCID,Cheng Wenguang²³,Shi Lin-Fei¹,Xu Tian-Zhou¹

Affiliation:

1. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China

2. Department of Mathematics, Shaoxing University, Shaoxing 312000, China

3. Department of Mathematics, Yuxi Normal University, Yuxi 653100, China

Abstract

The vector Lakshmanan–Porsezian–Daniel (vLPD) equations are mainly studied in this paper. The Darboux-dressing transformation (DDT) and infinitely-many conservation laws of the vLPD equations are constructed by the Lax pair. Furthermore, one soliton and bound-state solitons solutions of the vLPD equations are obtained by the DDT method. The obtained graphs can directly reflect the dynamic behavior of the aforementioned solutions.

Funder

Joint Special Funds of the Basic Research Foundation of Yunnan Province

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021798492150442X

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