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首页> 外文期刊>Chinese Geographical Science >Homotopic Mapping Solving Method for Perturbed Mechanism of Western Boundary Undercurrents in Equator Pacific
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Homotopic Mapping Solving Method for Perturbed Mechanism of Western Boundary Undercurrents in Equator Pacific

机译：赤道太平洋西部边界暗流扰动机理的同伦映射解法。

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摘要

The perturbed boundary undercurrent is an exceptional event in the tropical atmosphere and ocean. It is a complicated nonlinear system. Its appearance badly affects not only natural conditions such as climate and environment, but also global economic development and human living, and brings about many calamities. Thus there is very attractive study on its rules in the international academic circles. Many scholars made more studies on its local and whole behaviors using different methods, such as self-anamnestic principle, Fokker-Plank Equation method, higher order singular pedigree and predictable study, rapid change on boundary, indeterminate adaptive control, multi-cogradient method and so on. Nonlinear perturbed theory and approximate method are very attractive studies in the international academic circles. Many scholars considered a class of nonlinear problems for the ordinary differential equation, the reaction diffusion equations, the boundary value of elliptic equation, the initial boundary value of hyperbolic equation, the shock layer solution of nonlinear equation and so on. In this paper, a class of perturbed mechanism for the western boundary undercurrents in the equator Pacific is considered. Under suitable conditions, using a homotopic mapping theory and method, we obtain a simple and rapid arbitrary order approximate solution for the corresponding nonlinear system. For example, a special case shows that using the homotopic mapping method, there is a high accuracy for the computed value. It is also provided from the results that the solution for homotopic mapping solving method can be used for analyzing operator for perturbed mechanism of western boundary undercurrents in the equator Pacific.
机译：在热带大气和海洋中，扰动的边界暗流是一个特殊事件。它是一个复杂的非线性系统。它的出现不仅严重影响气候和环境等自然条件，而且严重影响全球经济发展和人类生活，并带来许多灾难。因此，国际学术界对其规则的研究非常吸引人。许多学者使用自记忆原理，Fokker-Plank方程法，高阶奇异谱系和可预测性研究，边界快速变化，不确定的自适应控制，多梯度方法和自学习原理等多种方法对它的局部和整体行为进行了更多研究。以此类推。非线性扰动理论和近似方法是国际学术界非常有吸引力的研究。许多学者考虑了常微分方程，反应扩散方程，椭圆方程的边界值，双曲方程的初始边界值，非线性方程的激波层解等一类非线性问题。本文考虑了一类摄动太平洋赤道西边界暗流的机制。在适当的条件下，使用同位映射理论和方法，可以获得相应非线性系统的简单快速任意阶近似解。例如，一种特殊情况表明，使用同位图映射方法，计算值具有很高的准确性。从结果还可以看出，同位素映射求解方法可用于分析赤道太平洋西边界暗流扰动机理的算符。

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