一类三阶多项式演化方程的守恒定律、李对称性分析及幂级数解

IF 0.9 Q2 MATHEMATICS

Arabian Journal of Mathematics Pub Date : 2023-02-24 DOI:10.1007/s40065-023-00417-0

B. Gwaxa, Sameerah Jamal, A. G. Johnpillai

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引用次数: 1

摘要

本文考虑一类特殊的三阶多项式演化方程。通过李理论，这些方程允许相同的单参数点变换，使方程保持不变。具有这些不变函数的约简导致高度非线性的三阶常微分方程。我们使用幂级数来建立简化方程的有趣解，从而产生递推关系，并可以测试级数的收敛性。最后，构造了该类的守恒向量。

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On the conservation laws, Lie symmetry analysis and power series solutions of a class of third-order polynomial evolution equations

In the present paper, we consider a special class of third-order polynomial evolutionary equations. These equations, via Lie theory admit the same one-parameter point transformations which leave the equations invariant. Reductions with these invariant functions lead to highly nonlinear third-order ordinary differential equations. We use a power series to establish interesting solutions to the reduced equations, whereby recurrence relations occur and convergence of the series may be tested. Finally, the conserved vectors of the class are constructed.

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来源期刊

Arabian Journal of Mathematics MATHEMATICS-

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

13 weeks

期刊介绍： The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics. Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.