Optimal System and Invariant Solutions of a New AKNS Equation with Time-Dependent Coefficients

被引：0
作者：
Liu, Na [1 ,2 ]
机构：
[1] Shandong Univ Polit Sci & Law, Business Sch, Jinan 250014, Peoples R China
[2] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
来源：
SYMMETRY-BASEL | 2020年 / 12卷 / 04期
基金：
中国国家自然科学基金;
关键词：
AKNS equation with time-dependent coefficients; Lie symmetry analysis; Optimal system; Invariant solutions; ROGUE-WAVE SOLUTIONS; VARIABLE-COEFFICIENTS; SCHRODINGER-EQUATION; SOLITON-SOLUTIONS; KDV EQUATION; TRANSFORMATION;
D O I：
10.3390/sym12040522
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The Lie point symmetries are reported by performing the Lie symmetry analysis to the Ablowitz-Kaup-Newell-Suger (AKNS) equation with time-dependent coefficients. In addition, the optimal system of one-dimensional subalgebras is constructed. Based on this optimal system, several categories of similarity reduction and some new invariant solutions for the equation are obtained, which include power series solutions and travelling and non-traveling wave solutions.
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页数：14
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