Gauge transformations of the multi-component BKP and CKP hierarchies-Reference-Cited by-同舟云学术

Gauge transformations of the multi-component BKP and CKP hierarchies

Published:2017-10-26 Issue:30 Volume:31 Page:1750280
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Song Tao¹,Li Chuanzhong¹,Li Xinyue²

Affiliation:

1. Department of Mathematics, Ningbo University, Ningbo 315211, China

2. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China

Abstract

In this paper, we give the definition and multi-folds gauge transformations of the multi-component B-type Kakomtsev–Petviashvili (MBKP) hierarchy and multi-component CKP (MCKP) hierarchy. Besides, we derive new solutions after the one-fold gauge transformation of the MBKP hierarchy. The remarkable differences between the BKP (CKP) hierarchy and the MBKP(MCKP) hierarchy are given in this paper. What is more, we introduce some facts about the multi-component constrained BKP and multi-component constrained CKP hierarchies including some obstacles and some new multi-component equations.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984917502803

Reference18 articles.

1. KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–

2. Block algebra in two-component BKP and D type Drinfeld-Sokolov hierarchies

3. Supersymmetric BKP systems and their symmetries

4. Gauge transformations for the constrained CKP and BKP hierarchies

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