云南高校图书馆联盟文献共享服务平台- MKDV

MKDV: 作品数：67被引量：165H指数：6; 导出分析报告; 相关领域：理学更多>>; 相关作者：莫嘉琪张颖元刘希强刘金张保才更多>>; 相关机构：聊城大学四川师范大学河南科技大学安徽师范大学更多>>; 相关期刊：《四川师范大学学报（自然科学版）》《Chinese Physics Letters》《Acta Mathematica Scientia》《数学物理学报（A辑）》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中国科学院知识创新工程重要方向项目河南省教育厅自然科学基金更多>>

双(G/G',1/G)展开法求解(3+1)维mKdvZK方程和(3+1)维YTSF方程的新孤子解: 《内蒙古师范大学学报（自然科学汉文版）》2024年第1期1-9,共9页杨超孙峪怀韩梦娜; 国家自然科学基金资助项目“带奇异势的非线性Schrodinger方程解的渐近行为研究”(12071323)。; 研究(3+1)维修正Korteweg-devries-Zakharov-Kuznestsov方程和(3+1)维Yu-Toda-Sassa-Fukuymama方程的解。首先利用行波变换和代入变换将(3+1)维mKdvZKE和(3+1)维YTSFE转化为常微分方程,而后选择双(G/G’,1/G)展开法得到多个与现有的文...; 关键词：双(G/G’ 1/G)展开法修正Korteweg-devries-Zakharov-Kuznestsov方程 Yu-Toda-Sassa-Fukuymama方程精确解

(3+1)维时空分数阶mKdV-Zakharov-Kuznetsov方程的分支及解结构被引量：1: 《四川师范大学学报（自然科学版）》2023年第4期457-463,共7页王美孙峪怀; 国家自然科学基金(12071323)。; 通过动力系统分支理论构建(3+1)维时空分数阶mKdV-Zakharov-Kuznetsov方程的精确解.首先通过引入分数阶复变换将(3+1)维时空分数阶mKdV-Zakharov-Kuznetsov方程化为常微分方程组,然后借助Hamilton系统得到不同条件下的分支相图,最后根...; 关键词：mKdV-Zakharov-Kuznetsov方程精确解分数阶复变换分支相图

变系数KdV-mKdV组合方程的精确解: 《哈尔滨商业大学学报（自然科学版）》2023年第2期204-207,共4页周帅; 应用齐次平衡原则和辅助函数法,将变系数KdV-mKdV组合方程转化成变系数常微分方程,利用Maple软件得出变系数KdV-mKdV组合方程的几类精确解,比如有类孤子解、三角函数解、椭圆函数解和幂函数解.; 关键词：齐次平衡原则辅助函数常微分方程 MAPLE软件变系数KdV-mKdV组合方程精确解

Linear Stability and Nonlinear Analysis of an Extended Optimal Velocity Model Considering the Speed Limit被引量：1: 《Journal of Applied Mathematics and Physics》2020年第3期507-518,共12页Guangzhu He Cuncai Hua; In this paper, an extended car-following model is proposed based on an optimal velocity model (OVM), which takes the speed limit into consideration. The model is analyzed by using the linear stability theory and nonli...; 关键词：Optimal VELOCITY Model (OVM) SPEED LIMIT TDGL EQUATION MKDV EQUATION

Propagation of traveling wave solutions for nonlinear evolution equation through the implementation of the extended modi ed direct algebraic method: 《Applied Mathematics(A Journal of Chinese Universities)》2020年第1期84-100,共17页David Yaro Aly Seadawy LU Dian-chen; In this work,di erent kinds of traveling wave solutions and uncategorized soliton wave solutions are obtained in a three dimensional(3-D)nonlinear evolution equations(NEEs)through the implementation of the modi ed ext...; 关键词：Novel soliton and solitary solutions for the 3-D mKdV-ZK equation Modi ed extended direct algebraic method Jacobi elliptic functions Physical explanations of the results

带强迫项的变系数耦合修正mKdV方程组的新解: 《量子电子学报》2019年第3期289-298,共10页套格图桑; 国家自然科学基金,11361040;内蒙古自治区自然科学基金,2015MS0128;内蒙古民族大学科学研究基金项目,NMDGP1713~~; 通过两个步骤,构造了带强迫项的变系数耦合修正Korteweg-de Vries(VCmKdV)方程组的复合型新解,并分析了解的相互作用。给出一种非线性常微分方程的几种新解。采用函数变换与一种非线性常微分方程相结合的方法,构造了带强迫项的VCmKdV方...; 关键词：非线性方程带强迫项的变系数mKdV方程组函数变换复合型新解

Long-Time Asymptotics for the Nonlocal MKdV Equation被引量：2: 《Communications in Theoretical Physics》2019年第5期475-488,共14页Feng-Jing He En-Gui Fan Jian Xu; Supported by National Science Foundation of China under Grant Nos.11671095,51879045;National Science Foundation of China under Grant No.11501365;Shanghai Sailing Program supported by Science and Technology Commission of Shanghai Municipality under Grant No.15YF1408100;Shanghai Youth Teacher Assistance Program No.ZZslg15056; In this paper, we study the Cauchy problem with decaying initial data for the nonlocal modified Korteweg-de Vries equation(nonlocal mKdV) qt(x, t)+qxxx(x, t)-6 q(x, t)q(-x,-t)qx(x, t) = 0, which can be viewed as a gen...; 关键词：NONLOCAL MKDV equation RIEMANN-HILBERT problem Deift-Zhou nonlinear steepest-descent LONG-TIME ASYMPTOTICS

RIEMANN-HILBERT PROBLEMS OF A SIX-COMPONENT MKDV SYSTEM AND ITS SOLITON SOLUTIONS被引量：3: 《Acta Mathematica Scientia》2019年第2期509-523,共15页Wen-Xiu MA; supported in part by NSFC(11371326,11301331,and 11371086);NSF under the grant DMS-1664561;the 111 project of China(B16002);the China state administration of foreign experts affairs system under the affiliation of North China Electric Power University,Natural Science Fund for Colleges and Universities of Jiangsu Province under the grant 17KJB110020;the Distinguished Professorships by Shanghai University of Electric Power,China and North-West University,South Africa; Based on a 4 x 4 matrix spectral problem, an AKNS soliton hierarchy with six potentials is generated. Associated with this spectral problem, a kind of Riemann-Hilbert problems is formulated for a six-component system ...; 关键词：INTEGRABLE HIERARCHY RIEMANN-HILBERT problem SOLITON solution

KAM TORI FOR DEFOCUSING KDV-MKDV EQUATION: 《Acta Mathematica Scientia》2019年第1期243-258,共16页Wenyan CUI Lufang MI Li YIN; Supported by NSFC(11601036,11401041);Science and Technology Foundation of Shandong Province(J16LI52); In this paper, we consider small perturbations of the KdV-mKdV equation u_t =-u_(xxx) + 6 uu_x + 6 u^2 u_x on the real line with periodic boundary conditions. It is shown that the above equation admits a Cantor family...; 关键词：QUASI-PERIODIC solution KdV-mKdV equation KAM theory NORMAL form

Solitons on a Periodic Wave Background of the Modified KdV-Sine-Gordon Equation被引量：1: 《Communications in Theoretical Physics》2018年第8期119-126,共8页Ji Lin Xin-Wei Jin Xian-Long Gao Sen-Yue Lou; Supported by the Natural Science Foundation of Zhejiang Province under Grant No.LZ15A050001;the National Natural Science Foundation of China under Grant No.11675146;Talent Fund and K.C.Wong Magna Fund in Ningbo University; The Backlund transformation（BT） of the m Kd V-s G equation is constructed by introducing a new transformation. Infinitely many nonlocal symmetries are obtained in terms of its BT. The soliton-periodic wave interacti...; 关键词：soliton with periodic wave interactive solution nonlocal symmetry Backlund transformation mKdV-sG equation

MKDV