HIROTA-SATSUMA

作品数:35被引量:37H指数:3
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相关领域:理学更多>>
相关作者:金小刚张智勇孙方裕刘春平陈贺灵更多>>
相关机构:内蒙古工业大学聊城大学桂林电子科技大学郑州大学更多>>
相关期刊:《Chinese Physics Letters》《周口师范学院学报》《重庆工商大学学报(自然科学版)》《Journal of Ocean Engineering and Science》更多>>
相关基金:国家自然科学基金国家重点基础研究发展计划浙江省自然科学基金江苏省教委自然科学基金更多>>
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Construction of conservation laws for the Gardner equation,Landau-Ginzburg-Higgs equation,and Hirota-Satsuma equation
《Communications in Theoretical Physics》2024年第5期49-57,共9页Cheng Chen Faiza Afzal Yufeng Zhang 
funded by the National Natural Science Foundation of China(Grant Nos.12371256&11971475)。
In this paper,two different methods for calculating the conservation laws are used,these are the direct construction of conservation laws and the conservation theorem proposed by Ibragimov.Using these two methods,we o...
关键词:conservation laws Landau-Ginzburg-Higgs equation Hirota-Satsuma equation Gardner equation 
Localized wave solutions and interactions of the (2+1)-dimensional Hirota-Satsuma-Ito equation
《Chinese Physics B》2024年第4期409-416,共8页巩乾坤 王惠 王云虎 
Project supported by the National Natural Science Foundation of China (Grant Nos.12275172 and 11905124)。
This paper studies the(2+1)-dimensional Hirota-Satsuma-Ito equation.Based on an associated Hirota bilinear form,lump-type solution,two types of interaction solutions,and breather wave solution of the(2+1)-dimensional ...
关键词:lump solution rogue wave solution breather wave solution (2+1)-dimensional Hirota-Satsuma-Ito equation 
Interaction solutions and localized waves to the(2+1)-dimensional Hirota-Satsuma-Ito equation with variable coefficient
《Chinese Physics B》2023年第7期199-205,共7页闫鑫颖 刘锦洲 辛祥鹏 
This work was supported by the National Natural Science Foundation of China(Grant No.11505090);Research Award Foundation for Outstanding Young Scientists of Shandong Province(Grant No.BS2015SF009);the Doctoral Foundation of Liaocheng University(Grant No.318051413);Liaocheng University Level Science and Technology Research Fund(Grant No.318012018);Discipline with Strong Characteristics of Liaocheng University–Intelligent Science and Technology(Grant No.319462208).
This article investigates the Hirota-Satsuma-Ito equation with variable coefficient using the Hirota bilinear method and the long wave limit method.The equation is proved to be Painlevé integrable by Painlevé analys...
关键词:(2+1)-dimensional variable coefficient Hirota-Satsuma-Ito equation Hirota bilinear method long wave limit method N-soliton solutions 
Multiple rational rogue waves for higher dimensional nonlinear evolution equations via symbolic computation approach被引量:1
《Journal of Ocean Engineering and Science》2023年第1期33-41,共9页Saima Arshed Nauman Raza Asma Rashid Butt Ahmad Javid J.F.Gómez-Aguilar 
The paper investigates the multiple rogue wave solutions associated with the generalized Hirota-Satsuma-Ito(HSI)equation and the newly proposed extended(3+1)-dimensional Jimbo-Miwa(JM)equation with the help of a symbo...
关键词:Generalized Hirota-Satsuma-Ito(HSI) equation The new extended(3+1)-dimensional Jimbo-Miwaequation Symbolic computation approach Bilinear form Rogue wave solutions 
Hirota-Satsuma耦合KdV方程组的行波解
《应用数学学报》2022年第4期500-508,共9页李文赫 尚佳鑫 
国家自然科学基金数学天元基金(No.12126312);黑龙江省省属本科高校基本科研业务费特色科研团队专项(No.2022TSTD-05)资助项目.
非线性发展方程在工程技术领域有广泛的应用,求非线性微分方程的精确解一直是其中的重点和难点目前已经提出了许多求解方法,如反散射方法、李群方法、Backlund变换方法及一些直接展开方法,包括双线性方法、混合指数法、齐次平衡法、双...
关键词:Hirota-Satsuma耦合KdV方程组 试探方程法 多项式完全判别系统 行波解 
(2 + 1)维Hirota-Satsuma-Ito方程的呼吸波与不同非线性波之间的态转换
《应用数学进展》2021年第4期1403-1409,共7页张丹丹 
本文基于Hirota双线性方法,研究了(2 + 1)维Hirota-Satsuma-Ito方程。在特定情况下,呼吸波可以转化为其他类型的非线性波,包括W型、M型、振荡W型、振荡M型和准周期型波,并分析了这些非线性波的动力学特性。基于特征线分析,得到了呼吸波...
关键词:态转换 (2 + 1)维Hirota-Satsuma-Ito方程 非线性波 双线性方法 
广义(2+1)维Hirota-Satsuma-Ito方程的分岔理论与动力学分析被引量:1
《数学的实践与认识》2020年第15期253-261,共9页李海丽 吴娟娟 
北京市教师队伍建设“长城学者”项目(CIT&TCD20180325);国家自然科学基金面上项目(11971067);北京信息科技大学学校科研基金(5221710907)。
主要研究了广义(2+1)维的Hirota-Satsuma-Ito(HSI)方程行波解的分岔及其动力学行为.基于行波变换,文章推导出(2+1)维广义HSI方程对应的平面动力系统.通过对平面动力系统参数不同取值的讨论,确定系统的奇点的个数和类型,得到了动力系统...
关键词:孤立子 分岔理论 幂零奇点 行波解 线周期波 
Generalized solitary wave solutions to the time fractional generalized Hirota-Satsuma coupled KdV via new definition for wave transformation被引量:2
《Journal of Ocean Engineering and Science》2019年第2期77-84,共8页Hadi Rezazadeh Aly R.Seadawy Mostafa Eslami Mohammad Mirzazadeh 
In this paper,the(G′/G)-expansion method has been applied to explore new solitary wave solutions for the time fractional generalized Hirota-Satsuma coupled KdV(FGHSC KdV)system.The fractional derivative is described ...
关键词:Conformable fractional derivative (G′/G)-expansion method Solitary wave solutions Time fractional generalized Hirota-Satsuma coupled KdV system. 
Interaction solutions to Hirota-Satsuma-Ito equation in (2+1)-dimensions被引量:10
《Frontiers of Mathematics in China》2019年第3期619-629,共11页Wen-Xiu MA 
Abundant exact interaction solutions, including lump-soliton, lump-kink, and lump-periodic solutions, are computed for the Hirota-Satsuma-Ito equation in (2+1)-dimensions, through conducting symbolic computations with...
关键词:SYMBOLIC COMPUTATION lump SOLUTION INTERACTION SOLUTION 
Two effective approaches for solving fractional generalized Hirota-Satsuma coupled KdV system arising in interaction of long waves被引量:4
《Journal of Ocean Engineering and Science》2019年第1期24-32,共9页Ali Kurt Hadi Rezazadeh Mehmet Senol Ahmad Neirameh Orkun Tasbozan Mostafa Eslami Mohammad Mirzazadeh 
In this article,two different methods,namely sub-equation method and residual power series method,have been used to obtain new exact and approximate solutions of the generalized Hirota-Satsuma system of equations,whic...
关键词:Hirota-Satsuma coupled KdV system Sub-equation method Power series method Conformable fractional derivative 
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