修正卡马萨-霍尔姆-诺维科夫方程的峰状孤波列车轨道稳定性

IF 4.3 3区材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

ACS Applied Electronic Materials Pub Date : 2024-01-01 DOI:10.1515/anona-2023-0124

Ting Luo

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引用次数: 0

摘要

本文考虑的是修正的卡马萨-霍尔姆-诺维科夫方程的峰状孤波解的稳定性问题，该方程源于浅水理论。这种波形构造可容纳修正的卡马萨-霍尔姆-诺维科夫峰孤波解的有序波列。通过应用守恒定律和局部能量函数的单调性，我们根据调制论证证明了该波谱在 H 1 ( R ) {H}^{1}\left({mathbb{R}}) 能量空间中的轨道稳定性。

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Orbital stability of the trains of peaked solitary waves for the modified Camassa-Holm-Novikov equation

Consideration herein is the stability issue of peaked solitary wave solution for the modified Camassa-Holm-Novikov equation, which is derived from the shallow water theory. This wave configuration accommodates the ordered trains of the modified Camassa-Holm-Novikov-peaked solitary solution. With the application of conservation laws and the monotonicity property of the localized energy functionals, we prove the orbital stability of this wave profile in the H 1 ( R ) {H}^{1}\left({\mathbb{R}}) energy space according to the modulation argument.

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来源期刊

ACS Applied Electronic Materials Multiple-

CiteScore

7.20

自引率

4.30%

发文量

567

期刊介绍： ACS Applied Electronic Materials is an interdisciplinary journal publishing original research covering all aspects of electronic materials. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrate knowledge in the areas of materials science, engineering, optics, physics, and chemistry into important applications of electronic materials. Sample research topics that span the journal's scope are inorganic, organic, ionic and polymeric materials with properties that include conducting, semiconducting, superconducting, insulating, dielectric, magnetic, optoelectronic, piezoelectric, ferroelectric and thermoelectric. Indexed/Abstracted： Web of Science SCIE Scopus CAS INSPEC Portico