Dynamical Behavior of Solution in Integrable Nonlocal Lakshmanan–Porsezian–Daniel Equation

The integrable nonlocal Lakshmanan–Porsezian–Daniel（LPD） equation which has the higher-order terms（dispersions and nonlinear effects） is first introduced. We demonstrate the integrability of the nonlocal LPD equation,provide its Lax pair, and present its rational soliton solutions and self-potential...

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Published inCommunications in theoretical physics Vol. 65; no. 6; pp. 671 - 676
Main Author 柳伟 邱德勤 吴志伟 贺劲松
Format Journal Article
LanguageEnglish
Published 01.06.2016
Subjects
Compressing
Darboux变换
Dispersions
Lax对
Mathematical analysis
Mathematical models
Nonlinearity
Refractive index
Refractivity
Transformations (mathematics)
动力学行为
压缩效果
可积性
折射率剖面
潜在功能
非线性效应
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Summary:The integrable nonlocal Lakshmanan–Porsezian–Daniel（LPD） equation which has the higher-order terms（dispersions and nonlinear effects） is first introduced. We demonstrate the integrability of the nonlocal LPD equation,provide its Lax pair, and present its rational soliton solutions and self-potential function by using the degenerate Darboux transformation. From the numerical plots of solutions, the compression effects of the real refractive index profile and the gain-or-loss distribution produced by δ are discussed.
Bibliography:nonlocal Lakshmanan–Porsezian–Daniel equation parity-time-symmetry higher-order nonlinear effect refractive index profile gain-or-loss distribution
The integrable nonlocal Lakshmanan–Porsezian–Daniel（LPD） equation which has the higher-order terms（dispersions and nonlinear effects） is first introduced. We demonstrate the integrability of the nonlocal LPD equation,provide its Lax pair, and present its rational soliton solutions and self-potential function by using the degenerate Darboux transformation. From the numerical plots of solutions, the compression effects of the real refractive index profile and the gain-or-loss distribution produced by δ are discussed.
Wei Liu , De-Qin Qiu, Zhi-Wei Wu ,Jing-Song He （1.School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China; 2.Department of Mathematics, Ningbo University, Ningbo 315211, China）
11-2592/O3
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/65/6/671