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

被引：1

作者：

Chen, Shou-Ting ^{[1
,2
]}

Li, Qi ^{[3
]}

Chen, Deng-Yuan ^{[4
]}

Cheng, Jun-Wei ^{[5
]}

机构：

[1] Xuzhou Inst Technol, Sch Math & Phys Sci, Lishui Rd, Xuzhou 221111, Jiangsu, Peoples R China

[2] Univ S Florida, Coll Arts & Sci, Dept Math & Stat, Tampa, FL 33620 USA

[3] East China Inst Technol, Dept Math, 54 Xuefu Rd, Fuzhou 344000, Jiangxi, Peoples R China

[4] Shanghai Univ, Dept Math, 99 Shangda Rd, Baoshan Shanghai 200444, Peoples R China

[5] Shandong Agr Univ, Coll Informat Sci & Engn, 61 Daizong Ave, Tai An 271018, Shandong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2016年 / 30卷 / 28-29期

基金：

中国国家自然科学基金;

关键词：

Nonisospectral Ablowitz Ladik equation; bilinear form; soliton-like solution; double Casoratian solution; DIFFERENTIAL-DIFFERENCE EQUATIONS; TODA LATTICE EQUATION; EVOLUTION-EQUATIONS; NONUNIFORMITY TERMS; CONSERVATION-LAWS; SYMMETRIES; HIERARCHIES; ALGEBRAS; DARBOUX;

D O I：

10.1142/S0217979216400087

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

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 N-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.

引用

页数：12

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