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SOLITON: 作品数：767被引量：855H指数：13; 导出分析报告; 相关领域：理学更多>>; 相关作者：李存标姚素霞马冰清刘希强张琳琳更多>>; 相关机构：北京大学中山大学浙江大学江西师范大学更多>>; 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中国博士后科学基金国家教育部博士点基金更多>>

Long-time asymptotic behavior for the nonlocal nonlinear Schrödinger equation in the solitonic region: 《Science China Mathematics》2025年第2期379-398,共20页Gaozhan Li Yiling Yang Engui Fan; supported by National Natural Science Foundation of China(Grant Nos.12271104,51879045,12247182).; In this paper,we extend the δ^(-)-steepest descent method to study the Cauchy problem for the nonlocal nonlinear Schrödinger(NNLS)equation with weighted Sobolev initial data iqt+qxx+2σq^(2)(x,t)q(−x,t)=0,q(x,0)=q0(x...; 关键词：nonlocal nonlinear Schrödinger equation Riemann-Hilbert problem δ^(-)-steepest descent method soliton resolution

Singularities of mean curvature flow被引量：1: 《Science China Mathematics》2021年第7期1349-1356,共8页Yuanlong Xin; Mean curvature flow and its singularities have been paid attention extensively in recent years. The present article reviews briefly their certain aspects in the author's interests.; 关键词：mean curvature flow self-shrinker translating soliton

Convergence of Finslerian metrics under Ricci flow: 《Science China Mathematics》2016年第4期741-750,共10页YAR AHMADI Mohamad BIDABAD Behroz; In this work,we study the convergence of evolving Finslerian metrics first in a general flow and next under Finslerian Ricci flow.More intuitively it is proved that a family of Finslerian metrics g（t）which are solut...; 关键词：Finsler geometry Ricci flow convergence in C~∞ blow up soliton

Canonical solitons associated with generalized Ricci flows被引量：2: 《Science China Mathematics》2013年第10期2007-2013,共7页CHEN BingLong GU HuiLing; supported by National Natural Science Foundation of China(Grant Nos.11025107,10831008 and 10901165);the Fundamental Research Funds for Central Universities(Grant No.201034000-3162643);High Level Talent Project in High Schools in Guangdong Province(Grant No.34000-5221001);the Fundamental Research Funds for the Central Universities(Grant No.101gpy25);China Post-doctoral Science Foundation(Grant No.201003382); We construct the canonical solitons,in terms of Cabezas-Rivas and Topping,associated with some generalized Ricci flows.; 关键词：canonical soliton generalized Ricci flow harmonic map heat flow differential form heat flow

Multisymplectic Fourier pseudo-spectral integrators for Klein-Gordon-Schrdinger equations被引量：4: 《Science China Mathematics》2013年第5期915-932,共18页KONG LingHua WANG Lan JIANG ShanShan DUAN YaLi; supported by National Natural Science Foundation of China(Grant Nos.10901074,11271171,91130003,11001009 and 11101399);the Province Natural Science Foundation of Jiangxi(Grant No. 20114BAB201011);the Foundation of Department of Education of Jiangxi Province(Grant No.GJJ12174);the State Key Laboratory of Scientific and Engineering Computing,CAS;supported by the Youth Growing Foundation of Jiangxi Normal University in 2010; A multisymplectic Fourier pseudo-spectral scheme, which exactly preserves the discrete multisym- plectic conservation law, is presented to solve the Klein-Gordon-SchrSdinger equations. The scheme is of spectral accura...; 关键词：Klein-Gordon-SchrSdinger equations multisymplectic integrator Fourier pseudo-spectral meth- od. conservation law. soliton

Generalized dressing method for the extended two-dimensional Toda lattice hierarchy and its reductions被引量：1: 《Science China Mathematics》2011年第2期365-380,共16页LIU XiaoJun GAO Can; supported by National Basic Research Program of China (973 Program) (Grant No. 2007CB814800);National Natural Science Foundation of China (Grant Nos. 10801083, 10901090);Chinese Universities Scientific Fund (Grant No. 2009-2-05);the Basic Research Fund of China Agricultural University (Grant No. 2007036); In this paper, we solve the extended two-dimensional Toda lattice hierarchy (ex2DTLH) by the generalized dressing method developed in Liu-Lin-Jin-Zeng (2009). General Casoratian determinant solutions for this hierarch...; 关键词：extended Toda lattice hierarchy DRESSING reduction sinh-Gordon self-consistent sources SOLITON

Rotationally symmetric translating soliton of H^k-flow被引量：1: 《Science China Mathematics》2010年第4期1011-1016,共6页SHENG WeiMin & WU Chao Department of Mathematics,Zhejiang University,Hangzhou 310027,China; supported by National Natural Science Foundation of China (Grant Nos.10771189 and 10831008); This paper mainly considers the translating soliton of H k-flow for k > 0.We give the asymptotic expression of the entire rotationally symmetric translating soliton,and obtain non-convex 'Wing-like' solution as wel...; 关键词：H k-flow TRANSLATING SOLITON 'Wing-like' solution

Harnack estimate for the H^k-flow被引量：1: 《Science China Mathematics》2007年第11期1642-1650,共9页Jie WANG; We obtain the Harnack estimate of the solution to Hk-flow in Euclidean space Rn+1,for k ＞ 0.By using this estimate,we get some corollaries about the translation soliton.; 关键词：Hk-flow harnack ESTIMATE TRANSLATION SOLITON

Determinant representation of Darboux transformation for the AKNS system被引量：7: 《Science China Mathematics》2006年第12期1867-1878,共12页HE Jingsong ZHANG Ling CHENG Yi LI Yishen; This work was supported partly by the project 973"Nonlinear Science";the National Natural Science Foundation of China(Grant No.10301030);SRFDP of China.; The n-fold Darboux transform (DT) is a 2×2 matrix for the Ablowitz-Kaup-Newell-Segur (AKNS) system.In this paper,each element of this matrix is expressed by 2n + 1 ranks'determinants.Using these formulae,the determin...; 关键词：DARBOUX transformation AKNS SYSTEM (Ablowitz-Kaup-Newell-Segur System) determinant soliton surface.

A theoretical description for solitons in polyacetylene: 《Science China Mathematics》2002年第7期884-887,共4页田强周会朱瑞; supported by the Foundation for University Key Teacher by the Ministry of Education of China; The bond-alternation domain walls or the solitons in the dimerized polyacetylene are analyzed theoretically. The width of the soliton is many times the period of the chain, so that the soliton can be reasonably well d...; 关键词：POLYACETYLENE SOLITON NONLINEAR Schr dinger EQUATION

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