随机势Korteweg-de Vries方程的松弛对、无限守恒律及其用达布变换的解

IF 1.9 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Pramana Pub Date : 2024-12-13 DOI:10.1007/s12043-024-02856-6
Nanda Kanan Pal, Prasanta Chatterjee, Abdul-Majid Wazwaz, Santanu Raut
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引用次数: 0

摘要

本文给出了随机势Korteweg-de Vries (spKdV)方程的Lax对及其无限守恒律,并证明了其在Lax对意义上的可积性。利用spKdV方程的Lax对,建立了spKdV方程的无限守恒定律。进行了达布变换,并简要讨论了有关的定理和命题,特别是配色型解的推导。从spKdV方程出发,通过选取初始平凡种子解,探索了高阶位置解、负阶位置解、混合位置-有理解和负有理解等复杂有效解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Lax pairs, infinite conservation laws of stochastic potential Korteweg–de Vries equation and their solutions by using Darboux transformation

This article carried out the Lax pairs and infinite conservation laws of the stochastic potential Korteweg–de Vries (spKdV) equation, which claims its integrability in the Lax pair sense. The infinite conservation laws of the spKdV equation were established using its Lax pair. The Darboux transformation was conducted and several pertinent theorems and propositions were briefly discussed for deriving especially the complexiton-type solutions. Some complicated efficient solutions, such as higher-order positon, negaton, hybrid positon-rational solution and negaton-rational solutions were explored from the spKdV equation by choosing initial trivial seed solutions.

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来源期刊
Pramana
Pramana 物理-物理:综合
CiteScore
3.60
自引率
7.10%
发文量
206
审稿时长
3 months
期刊介绍: Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.
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