Degasperis-Procesi方程的多波、异常波、周期波、周期交叉块波、周期交叉扭结波、块状孤子、呼吸块、同斜呼吸、周期交叉扭结、m形有理解及其相互作用

IF 2.6 4区物理与天体物理 Q2 PHYSICS, APPLIED

International Journal of Modern Physics B Pub Date : 2023-01-27 DOI:10.1142/s0217979223501722

Aly R. Seaway, S. Rizvi, Ahtsham Ahmad, Sarfaraz Ahmed

{"title":"Degasperis-Procesi方程的多波、异常波、周期波、周期交叉块波、周期交叉扭结波、块状孤子、呼吸块、同斜呼吸、周期交叉扭结、m形有理解及其相互作用","authors":"Aly R. Seaway, S. Rizvi, Ahtsham Ahmad, Sarfaraz Ahmed","doi":"10.1142/s0217979223501722","DOIUrl":null,"url":null,"abstract":"We examine multiwave (MW), rogue wave (RW), periodic wave (PW), homoclinic breather (HB), breather lump wave (BLW), [Formula: see text]-shaped rational solutions, lump soliton, kink cross-rational (KCR), periodic cross-kink rational (PCKR), periodic cross-rational (PCR) solutions for the Degasperis–Procesi (DP) equation in shallow water waves through appropriate polynomial function scheme. We also compute some interactions for stated model including interaction of [Formula: see text]-shaped soliton with one kink, interactional solution with two kinks also lump soliton with kink one and kink two solutions. Furthermore, we made suitable 3D, 2D and contour profiles via appropriate parameters.","PeriodicalId":14108,"journal":{"name":"International Journal of Modern Physics B","volume":" ","pages":""},"PeriodicalIF":2.6000,"publicationDate":"2023-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Multiwave, rogue wave, periodic wave, periodic cross-lump wave, periodic cross-kink wave, lump soliton, breather lump, homoclinic breather, periodic cross-kink, M-shaped rational solutions and their interactions for the Degasperis–Procesi equation\",\"authors\":\"Aly R. Seaway, S. Rizvi, Ahtsham Ahmad, Sarfaraz Ahmed\",\"doi\":\"10.1142/s0217979223501722\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We examine multiwave (MW), rogue wave (RW), periodic wave (PW), homoclinic breather (HB), breather lump wave (BLW), [Formula: see text]-shaped rational solutions, lump soliton, kink cross-rational (KCR), periodic cross-kink rational (PCKR), periodic cross-rational (PCR) solutions for the Degasperis–Procesi (DP) equation in shallow water waves through appropriate polynomial function scheme. We also compute some interactions for stated model including interaction of [Formula: see text]-shaped soliton with one kink, interactional solution with two kinks also lump soliton with kink one and kink two solutions. Furthermore, we made suitable 3D, 2D and contour profiles via appropriate parameters.\",\"PeriodicalId\":14108,\"journal\":{\"name\":\"International Journal of Modern Physics B\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":2.6000,\"publicationDate\":\"2023-01-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Modern Physics B\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1142/s0217979223501722\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Modern Physics B","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/s0217979223501722","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}

引用次数: 2

摘要

我们通过适当的多项式函数格式研究了浅水波中Degasperis-Procesi (DP)方程的多波(MW)、异常波(RW)、周期波(PW)、同斜呼吸(HB)、呼吸块状波(BLW)、[公式:见文本]形有理解、块状孤子、扭结交叉有理(KCR)、周期交叉有理(PCKR)、周期交叉有理(PCR)解。我们还计算了所述模型的一些相互作用，包括[公式:见文]形孤子与一个扭结的相互作用，两个扭结的相互作用解，以及扭结一和扭结二解的混合孤子的相互作用。此外，我们还通过适当的参数制作了合适的3D, 2D和轮廓轮廓。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Multiwave, rogue wave, periodic wave, periodic cross-lump wave, periodic cross-kink wave, lump soliton, breather lump, homoclinic breather, periodic cross-kink, M-shaped rational solutions and their interactions for the Degasperis–Procesi equation

We examine multiwave (MW), rogue wave (RW), periodic wave (PW), homoclinic breather (HB), breather lump wave (BLW), [Formula: see text]-shaped rational solutions, lump soliton, kink cross-rational (KCR), periodic cross-kink rational (PCKR), periodic cross-rational (PCR) solutions for the Degasperis–Procesi (DP) equation in shallow water waves through appropriate polynomial function scheme. We also compute some interactions for stated model including interaction of [Formula: see text]-shaped soliton with one kink, interactional solution with two kinks also lump soliton with kink one and kink two solutions. Furthermore, we made suitable 3D, 2D and contour profiles via appropriate parameters.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

International Journal of Modern Physics B 物理-物理：凝聚态物理

CiteScore

3.70

自引率

11.80%

发文量

417

审稿时长

3.1 months

期刊介绍： Launched in 1987, the International Journal of Modern Physics B covers the most important aspects and the latest developments in Condensed Matter Physics, Statistical Physics, as well as Atomic, Molecular and Optical Physics. A strong emphasis is placed on topics of current interest, such as cold atoms and molecules, new topological materials and phases, and novel low dimensional materials. One unique feature of this journal is its review section which contains articles with permanent research value besides the state-of-the-art research work in the relevant subject areas.