Nonautonomous discrete rogue wave solutions and interactions in an inhomogeneous lattice with varying coefficients

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:395

Article

Yan, Zhenya¹  Jiang, Dongmei^1,2 

[1] Chinese Acad Sci, Key Lab Math Mech, Inst Syst Sci, AMSS, Beijing 100190, Peoples R China

[2] Qingdao Univ Technol, Dept Math, Qingdao 266033, Peoples R China

关键词: Nonautonomous discrete rogue wave solutions;    The generalized Ablowitz-Ladik-Hirota lattice with variable coefficients;    Similarity reduction;    Symbolic analysis;   

DOI  :  10.1016/j.jmaa.2012.05.058

来源: Elsevier

【 摘 要 】

In this paper we analytically investigate nonautonomous discrete rogue wave solutions and their interactions in the generalized Ablowitz-Ladik-Hirota lattice with variable coefficients, which possess complicated wave propagation in time and differ from the usual discrete rogue waves. When the amplitude of the tunnel coupling coefficient between sites decreases, these nonautonomous discrete rogue wave solutions become localized in time after they propagate over some certain large critical values. Moreover, we find that the interactions between nonautonomous discrete rogue wave solutions are elastic. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free