Paper Info
Title
Lax Pairs, Infinite Conservation Laws, Darboux Transformation, Bilinear Forms And Solitonic Interactions For A Combined Calogero-Bogoyavlenskii-Schiff-Type Equation
Abstract
Calogero-Bogoyavlenskii-Schiff-type (CBS-type) equations have been used to describe certain nonlinear phenomena in fluids and plasmas. Under investigation in this paper is a combined CBS-type equation. Lax pairs in the differential and matrix forms are derived respectively. Infinite conservation laws, which are different from those in the existing literatures, and n-fold Darboux transformation are constructed through the matrix-form Lax pair, where n is a positive integer. Bilinear forms are constructed. Parallel solitons can be derived from the bilinear forms, which are caused by a constraint in the linearization process. Waveforms for the parallel solitons have the no superposition, nonlinear superposition and linear superposition forms. Bell-to-anti-bell-shaped solitons and oblique solitonic interactions are discovered via the n-fold Darboux transformation. Each bell-shaped asymptotic soliton of the bell-to-anti-bell-shaped soliton evolves into the anti-bell-shaped one. (C) 2020 Elsevier Ltd. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.aml.2020.106702
APPLIED MATHEMATICS LETTERS
Keywords
DocType
Volume
Combined Calogero-Bogoyavlenskii-Schiff-type equation, Lax pairs in the differential and matrix forms, n-fold Darboux transformation and infinite conservation laws, Bilinear forms, Bell-to-anti-bell-shaped solitons
Journal
114
ISSN
Citations 
PageRank 
0893-9659
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Ting-Ting Jia100.34
Yi-Tian Gao24214.96
Xin Yu300.34
Liu-Qing Li400.34