Title
Breathers and rogue waves in a Heisenberg ferromagnetic spin chain or an alpha helical protein
Abstract
•Breathers and rogue waves are constructed via Darboux transformation and generalized Darboux transformation, respectively.•The first- and second-order Akhmediev breathers and Kuznetsov–Ma solitons are presented with different values of variable coefficients, and nonlinear periodic breathers resulting from the Akhmediev breathers are studied as well.•The first- and second-order rogue waves are presented, and we find that the rogue waves can be split into many similar components when the variable coefficients are the polynomial functions of time.
Year
DOI
Venue
2017
10.1016/j.cnsns.2017.01.003
Communications in Nonlinear Science and Numerical Simulation
Keywords
DocType
Volume
Heisenberg ferromagnetic spin chain,Alpha helical protein chain,Fourth-order variable-coefficient nonlinear Schrödinger equation,Rogue waves and breathers
Journal
48
ISSN
Citations 
PageRank 
1007-5704
0
0.34
References 
Authors
2
5
Name
Order
Citations
PageRank
Jin-Wei Yang100.34
Yi-Tian Gao24214.96
Chuan-Qi Su300.34
Qi-Min Wang400.34
Zhong-Zhou Lan500.34