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Burgers方程精确解的进一步确定

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在现代科学中,Burgers方程模型在等离子物理、非线性光学、量子理论和通信技术等领域有着重要的地位和作用.一种可行方法是将Burgers方程转化为Riccati方程求其精确解.现在相关文献转化为Riccati方程的基础上,给出广义的解情形结论,以扩大Burgers方程的应用范围.
Further Determination of Exact Solution of Burgers Equation
In modern science,Burgers equation model plays an important role in the fields of plasma phys-ics,nonlinear optics,quantum theory and communication technology.A feasible method is to convert Burgers equation into Riccati equation to obtain its exact solution.Now,on the basis of the relevant literature converted into Riccati equation,a generalized solution conclusion is given to expand the application scope of Burgers equa-tion.

Burgers equationRiccati equationexact solution

赵临龙

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安康学院数学与统计学院,陕西安康 725000

Burgers方程 Riccati方程 精确解

2024

山西师范大学学报(自然科学版)
山西师范大学

山西师范大学学报(自然科学版)

影响因子:0.512
ISSN:1009-4490
年,卷(期):2024.38(4)