安徽大学学报（自然科学版）2024，Vol.48Issue(6)：21-29,9.DOI:10.3969/j.issn.1000-2162.2024.06.004
一类广义时空分数阶耦合Zakharov方程组新的解析解
New analytic solutions for a class of generalized time-space fractional coupled Zakharov equations
摘要
Abstract
In this article,with the aid of mathematica software,some new analytical solutions to a class of generalized time-space fractional coupled Zakharov equations which were important applications in laser physics,plasma physics and other fields were deeply studied by using the modified(G'/G,1/G)-expansion method,and a series of new composite forms of analytical solutions were obtained,which were essential for revealing the nonlinear self-interaction between high-frequency and low-frequency waves,the amplitude of Langmuir field in strong turbulence effects.The evolution process of electromagnetic wave intensity and amplitude modulation instability was of great significance,and the evolution process of related physical quantities was visually demonstrated by drawing the two-dimensional and three-dimensional plots and density maps corresponding to the partial solutions,which enriched,simplified and developed the existing results.关键词
Atangana-Baleanu-Riemann分数阶导数/耦合Zakharov方程组/修正的(G'/G,1/G)-展开法/精确解/Mittag-Leffler 函数Key words
Atangana-Baleanu-Riemann fractional derivative/coupled Zakharov equations/modified(G'/G,1/G)-expansion method/exact solutions/Mittag-Leffler function分类
数理科学引用本文复制引用
洪宝剑,朱永康,瞿新凯,田鑫尧..一类广义时空分数阶耦合Zakharov方程组新的解析解[J].安徽大学学报（自然科学版）,2024,48(6):21-29,9.基金项目
江苏省高等学校自然科学研究项目(18KJB110013) （18KJB110013）
江苏省大学生实践创新训练计划指导项目(202311276081Y) （202311276081Y）
