摘要
采用修正的(G′/G,1/G)-展开法,借助符号计算软件,研究一类广义分数阶耦合Hirota-Satsuma Kd V系统,求出其一系列新的复合形式的精确解,这些解对于揭示具有不同色散效应的两列长波之间的非线性相互作用具有重要意义.通过绘制部分解对应的二维、三维分布图及密度图直观展示了相关物理量的演化过程,这些解丰富、简化和发展了已有的结果.
This paper employed a modified(G′/G,1/G)-expansion method and harnessed the capabilities of symbolic computation software to investigate a class of generalized fractional coupled Hirola-Salsuma Kd V systems.A series of novel composite exact solutions have been derived,which are of considerable significance for elucidating the nonlinear interactions between two long waves exhibiting different dispersion effects.By presenting two-dimensional and three-dimensional distribution graphs,along with density plots corresponding to some of the solutions,the evolution process of relevant physical quantities has been visually demonstrated.These solutions enriched,simplified,and advanced the existing results in this field.
作者
洪宝剑
骆昊阳
张淑婷
田鑫尧
HONG Baojian;LUO Haoyang;ZHANG Shuting;TIAN Xinyao(School of Mathematics and Physics,Nanjing Institute of Technology,Nanjing 211167 China;School of Electric Power Engineering,Nanjing Institute of Technology,Nanjing 211167 China)
出处
《南京工程学院学报(自然科学版)》
2025年第1期83-90,共8页
Journal of Nanjing Institute of Technology(Natural Science Edition)
基金
江苏省大学生实践创新训练计划指导项目(202311276081Y)。
