非线性系统
哈密顿量(控制论)
物理
多项式的
广义相对论的精确解
数学
数学物理
数学分析
量子力学
数学优化
出处
期刊:Physica Scripta
[IOP Publishing]
日期:2023-09-11
卷期号:98 (10): 105238-105238
被引量:2
标识
DOI:10.1088/1402-4896/acf898
摘要
Abstract In this paper, we analyze the complex Ginzburg-Landau equation with law of four powers of nonlinearity by using the complete discrimination system for polynomial method and establish the exact solutions of this equation. As the model is visualised under specific parameters, we give two-dimensional diagrams of the exact solutions to demonstrate the existence of the solutions. In addition, we also establish the dynamic properties of the equation and give the Hamiltonian and topological properties of the equation.
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