广义伊藤方程的非局部对称性、一致里卡提展开可解性和交互解

IF 1.4 4区物理与天体物理 Q2 MATHEMATICS, APPLIED

Journal of Nonlinear Mathematical Physics Pub Date : 2024-02-15 DOI:10.1007/s44198-024-00173-5

Hui Wang

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引用次数: 0

摘要

本文研究了广义伊藤方程。通过使用截断 Painlevé 分析方法，我们成功地分别推导出了其非局部对称性和 Bäcklund 变换。通过为非局部对称性引入新的因变量，我们找到了相应的列点对称性。此外，我们还通过一致 tanh 扩展法构建了该方程的孤子与环周期波之间的相互作用解。通过详细推导，我们还得到了该方程的守恒定律。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Nonlocal Symmetries, Consistent Riccati Expansion Solvability and Interaction Solutions of the Generalized Ito Equation

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Nonlocal Symmetries, Consistent Riccati Expansion Solvability and Interaction Solutions of the Generalized Ito Equation

In this paper, we investigate the generalized Ito equation. By using the truncated Painlevé analysis method, we successfully derive its nonlocal symmetry and Bäcklund transformation, respectively. By introducing new dependent variables for the nonlocal symmetry, we find the corresponding Lie point symmetry. Moreover, we construct the interaction solution between soliton and cnoidal periodic wave of the equation by considering the consistent tanh expansion method. The conservation laws of the equation are also obtained with a detailed derivation.

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来源期刊

Journal of Nonlinear Mathematical Physics PHYSICS, MATHEMATICAL-PHYSICS, MATHEMATICAL

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

3 months

期刊介绍： Journal of Nonlinear Mathematical Physics (JNMP) publishes research papers on fundamental mathematical and computational methods in mathematical physics in the form of Letters, Articles, and Review Articles. Journal of Nonlinear Mathematical Physics is a mathematical journal devoted to the publication of research papers concerned with the description, solution, and applications of nonlinear problems in physics and mathematics. The main subjects are: -Nonlinear Equations of Mathematical Physics- Quantum Algebras and Integrability- Discrete Integrable Systems and Discrete Geometry- Applications of Lie Group Theory and Lie Algebras- Non-Commutative Geometry- Super Geometry and Super Integrable System- Integrability and Nonintegrability, Painleve Analysis- Inverse Scattering Method- Geometry of Soliton Equations and Applications of Twistor Theory- Classical and Quantum Many Body Problems- Deformation and Geometric Quantization- Instanton, Monopoles and Gauge Theory- Differential Geometry and Mathematical Physics