New Exact Solutions to the Lakshmanan-Porsezian-Daniel Equation with Kerr Law of Nonlinearity

被引：12
作者：
Peng, Chen [1 ,2 ]
Li, Zhao [1 ]
Zhao, Hongwei [3 ]
机构：
[1] Chengdu Univ, Coll Comp Sci, Chengdu 610106, Peoples R China
[2] Chengdu Univ, Inst Higher Educ Sichuan Prov, Key Lab Pattern Recognit & Intelligent Informat P, Chengdu 610106, Peoples R China
[3] China United Network Commun Grp Co Ltd, Sichuan Branch, Chengdu 610095, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2022年 / 2022卷
关键词：
TRAVELING-WAVE SOLUTIONS; OPTICAL SOLITONS; DIFFERENTIAL-EQUATIONS; MODEL;
D O I：
10.1155/2022/7340373
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this study, some new exact travelling wave solutions to the Lakshmanan-Porsezian-Daniel (LPD) equation with Kerr law of nonlinearity are retrieved by the complete discrimination system for the polynomial method. Under the travelling wave transformation, the LPD equation is reduced to an ordinary differential equation. The new exact travelling wave solutions including rational solutions, triangle function solutions, solitary wave solutions, and Jacobian elliptic function solutions are obtained and graphically illustrated using three-dimensional and two-dimensional graphs. Comparing with the previous results for LPD equation, some of new solutions in this work such as elliptical solution are not studied, which shows the complete discrimination system method is efficient.
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页数：10
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