N-soliton-like and double Casoratian solutions of a nonisospectral Ablowitz–Ladik equation-Reference-Cited by-同舟云学术

N-soliton-like and double Casoratian solutions of a nonisospectral Ablowitz–Ladik equation

Published:2016-11-10 Issue:28n29 Volume:30 Page:1640008
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

Chen Shou-Ting¹²,Li Qi³,Chen Deng-Yuan⁴,Cheng Jun-Wei⁵

Affiliation:

1. School of Mathematics and Physical Science, Xuzhou Institute of Technology, Lishui Road, Xincheng District, Xuzhou, Jiangsu 221111, P. R. China

2. Department of Mathematics and Statistics, College of Arts and Sciences, University of South Florida, Tampa, FL 33620-5700, USA

3. Department of Mathematics, East China Institute of Technology, 54 Xuefu Road, Fuzhou, Jiangxi 344000, P. R. China

4. Department of Mathematics, Shanghai University, 99 Shangda Road, BaoShan Shanghai 200444, P. R. China

5. College of Information Science and Engineering, Shandong Agricultural University, 61 Daizong Avenue, Taian, Shandong 271018, P. R. China

Abstract

A bilinear form of a nonisospectral differential-difference equation related to the Ablowitz–Ladik (AL) spectral problem is derived by a transformation of dependent variables. Exact solutions to the resulting bilinear equation are found. The [Formula: see text]-soliton-like solutions and the double Casoratian solutions are derived by means of Hirota’s direct method and the double Casoratian technique, respectively. Moreover, the connection between those two classes of solutions is explored.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979216400087

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