On the Monotonicity of Limit Wave Speed of the pgKdV Equation with Nonlinear Terms of Arbitrary Higher Degree

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

Journal of Nonlinear Mathematical Physics Pub Date : 2023-09-27 DOI:10.1007/s44198-023-00141-5

Zhenshu Wen

引用次数: 0

Abstract

Abstract We prove that limit wave speed is decreasing for the pgKdV equation with nonlinear terms of arbitrary higher degree in a numerical way. Our results provide the complete answer to the open question suggested by Yan et al. (Math Model Anal 19:537–555, 2014).

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任意高次非线性pgKdV方程极限波速的单调性

用数值方法证明了具有任意高次非线性项的pgKdV方程的极限波速是递减的。我们的结果为Yan等人提出的开放性问题提供了完整的答案(数学模型肛门19:537-555,2014)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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