云南高校图书馆联盟文献共享服务平台- KDV

KDV: 作品数：328被引量：517H指数：10; 导出分析报告; 相关领域：理学更多>>; 相关作者：王明亮斯仁道尔吉卢殿臣尚亚东王俊杰更多>>; 相关机构：西北大学西华大学河南科技大学内蒙古师范大学更多>>; 相关期刊：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国家教育部博士点基金内蒙古自治区自然科学基金更多>>

Soliton Solutions of a Coupled KdV System via Backlund Transformation: 《应用数学》2025年第1期211-216,共6页CAO Xifang WU Yiheng LU Yi XU Wenjing XIA Yutong; Supported by the Jiangsu Higher School Undergraduate Innovation and Entrepreneurship Training Program(202311117078Y)。; In this paper we use Böcklund transformation to construct soliton solutions for a coupled KdV system.This system was first proposed by Wang in 2010.First we generalize the well-known Bäcklund transformation for the Kd...; 关键词：KdV equation Coupled KdV system B¨acklund transformation SOLITON

OPTIMAL ERROR ESTIMATES OF THE LOCAL DISCONTINUOUS GALERKIN METHOD WITH GENERALIZED NUMERICAL FLUXES FOR ONE-DIMENSIONAL KDV TYPE EQUATIONS: 《Journal of Computational Mathematics》2025年第1期63-88,共26页Hongjuan Zhang Xiong Meng Dazhi Zhang Boying Wu; supported by the National Natural Science Foundation of China(Grant No.11971132);by the Natural Science Foundation of Heilongjiang Province(Grant No.YQ2021A002);by the Fundamental Research Funds for the Central Universities(Grant No.HIT.OCEF.2022031);The third author was supported by the Guangdong Basic and Applied Basic Research Foundation(Grant No.2020B1515310006);The fourth author was supported by the National Natural Science Foundation of China(Grant Nos.11971131,61873071).; In this paper, we investigate the local discontinuous Galerkin method with generalized numerical fluxes for one-dimensional nonlinear Korteweg-de Vries type equations. The numerical flux for the nonlinear convection t...; 关键词：Korteweg-de Vries type equations Local discontinuous Galerkin method Generalized fluxes Error estimates

基于PINN方法的KdV类方程新孤子解的研究: 《应用数学和力学》2025年第1期105-113,共9页邱天威魏光美宋禹欣王振; 国家自然科学基金(面上项目)(52171251)。; 该文采用物理信息神经网络(physics-informed neural network,PINN)方法结合广义Miura变换,深入研究了三个KdV类方程,获得了一系列新的孤子解.具体而言,研究成果包括:基于改进的PINN方法,获得了mKdV方程的扭结-钟形解的解析形式;通过Mi...; 关键词：PINN方法 MIURA变换 KdV类方程孤立子可积系统

A unique computational investigation of the exact traveling wave solutions for the fractional-order Kaup-Boussinesq and generalized Hirota Satsuma coupled KdV systems arising from water waves and interaction of long waves: 《Journal of Ocean Engineering and Science》2024年第5期437-453,共17页Xiaofeng Wang Xiao-Guang Yue Mohammed K.A.Kaabar Arzu Akbulut Melike Kaplan; A novel technique,named auxiliary equation method,is applied in this research work for obtaining new traveling wave solutions for two interesting proposed systems:the Kaup-Boussinesq system and generalized Hirota-Sats...; 关键词：Symbolic computation Fractional differential equations Beta derivative Auxiliary equation method Solitary solutions Nonlinear equations

A Remark on the Affine Coordinates for KdV Tau-Functions: 《Chinese Quarterly Journal of Mathematics》2024年第3期324-330,共7页FU Zhi-peng; We give a proof of an explicit formula for affine coodinates of points in the Sato’s infinite Grassmannian corresponding to tau-functions for the KdV hierarchy.; 关键词：Sato’s infinite Grassmannian KdV hierarchy Affine coordinates

广义Rosenau-KdV-RLW方程的一个新的高精度守恒差分格式被引量：1: 《西北师范大学学报（自然科学版）》2024年第3期127-132,共6页胡俊林刘哲含胡劲松; 四川省应用基础研究资助项目(2019YJ0387);国家自然科学青年基金资助项目(11701481)。; 对一类广义Rosenau-KdV-RLW方程的初边值问题提出一个新的高精度守恒差分算法.利用Taylor展式,在空间层做部分外推处理,直接从整体上抵消空间截断误差的二阶部分,在时间层采用Crank-Nicolson格式,从而在时间方向和空间方向分别达到了二...; 关键词：广义Rosenau-KdV-RLW方程高精度守恒差分格式收敛性稳定性

内孤立波作用下缓波形立管动力特性研究: 《船舶力学》2024年第6期803-817,共15页余杨刘晓伟李振眠孙若飞杨政龙徐立新; 国家自然科学基金面上项目(52071234);中国博士后科学基金面上项目(2022M722349);天津市科技计划项目(21JCQNJC00350)。; 我国南海活跃着大量内孤立波,严重威胁海洋工程作业的安全。本文采用向量式有限元方法分析内孤立波作用下深海缓波形钢悬链立管动力特性,建立考虑触地段土反力和内孤立波载荷的缓波形钢悬链立管动力模型,根据mKdV方程求解内孤立波载荷,...; 关键词：缓波形钢悬链立管内孤立波向量式有限元 KdV理论动力响应

Nonlocal symmetries,soliton-cnoidal wave solution and soliton molecules to a(2+1)-dimensional modified KdV system: 《Communications in Theoretical Physics》2024年第4期14-21,共8页Jianyong Wang Bo Ren; supported by the National Natural Science Foundation of China(No.12375006).; A(2+1)-dimensional modified KdV(2DmKdV)system is considered from several perspectives.Firstly,residue symmetry,a type of nonlocal symmetry,and the Bäcklund transformation are obtained via the truncated Painlevéexpans...; 关键词：soliton-cnoidal wave solution nonlocal symmetry soliton molecule (2+1)-dimensional modified KdV system

Q-homotopy analysis method for time-fractional Newell–Whitehead equation and time-fractional generalized Hirota–Satsuma coupled KdV system: 《Communications in Theoretical Physics》2024年第3期70-83,共14页Di Liu Qiongya Gu Lizhen Wang; supported by the National Natural Science Foundation of China(Grant No.12271433)。; In this paper,two types of fractional nonlinear equations in Caputo sense,time-fractional Newell–Whitehead equation(FNWE)and time-fractional generalized Hirota–Satsuma coupled KdV system(HS-cKdVS),are investigated b...; 关键词：fractional Newell-Whitehead equation fractional generalized Hirota-Satsuma coupled KdV system approximate solution q-homotopy analysis method

Soliton solutions for nonlinear variable-order fractional Korteweg-de Vries(KdV)equation arising in shallow water waves: 《Journal of Ocean Engineering and Science》2024年第1期50-58,共9页Umair Ali Hijaz Ahmad Hanaa Abu-Zinadah; Nonlinear fractional differential equations provide suitable models to describe real-world phenomena and many fractional derivatives are varying with time and space.The present study considers the advanced and broad s...; 关键词：Space-time VO fractional KdV equation modiﬁed(G′/G)-expansion method VO Caputo fractional derivative generalized Riccati equation

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