云南高校图书馆联盟文献共享服务平台- ELLIPTIC

ELLIPTIC_EQUATION: 作品数：135被引量：186H指数：7; 导出分析报告; 相关作者：王庚莫嘉琪陈松林李宝麟姚庆六更多>>; 相关机构：安徽机电职业技术学院安徽师范大学华东冶金学院西北师范大学更多>>; 相关期刊：《Journal of Mathematical Research with Applications》《Science China Mathematics》《Advances in Applied Mathematics and Mechanics》《Science Bulletin》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河南省自然科学基金霍英东教育基金更多>>

Modulation instability analysis, optical and other solutions to the modified nonlinear Schr?dinger equation: 《Communications in Theoretical Physics》2020年第6期1-12,共12页Muhammad Younis Tukur Abdulkadir Sulaiman Muhammad Bilal Shafqat Ur Rehman Usman Younas; This paper studies the new families of exact traveling wave solutions with the modified nonlinear Schrodinger equation,which models the propagation of rogue waves in ocean engineering.The extended Fan sub-equation met...; 关键词：optical soliton MNLSE stability analysis generalized elliptic equation extended Fan sub-equation method

Generalized and Improved(G′/G)-Expansion Method Combined with Jacobi Elliptic Equation: 《Communications in Theoretical Physics》2014年第6期669-676,共8页M.Ali Akbar Norhashidah Hj.Mohd.Ali E.M.E.Zayed; In this article, we propose an alternative approach of the generalized and improved （G＇/G）-expansion method and build some new exact traveling wave solutions of three nonlinear evolution equations, namely the Boiti...; 关键词：Boiti-Leon-Pempinelle equation Painleve integrable burgers equation Pochhammer-Chree equa-tion （GI/G）-expansion method traveling wave solutions

Infinite Sequence Soliton-Like Exact Solutions of (2 + 1)-Dimensional Breaking Soliton Equation被引量：19: 《Communications in Theoretical Physics》2011年第6期949-954,共6页Taogetusang Sirendaoerji 李姝敏; Supported by the Natural Natural Science Foundation of China under Grant No.10461006;the Science Research Foundation of Institution of Higher Education of Inner Mongolia Autonomous Region,China under Grant No.NJZZ07031;the Natural Science Foundation of Inner Mongolia Autonomous Region,China under Grant No.2010MS0111; To seek new infinite sequence soliton-like exact solutions to nonlinear evolution equations （NEE（s））, by developing two characteristics of construction and mechanization on auxiliary equation method, the second ki...; 关键词：the second kind of elliptic equation Backlund transformation nonlinear evolution equation infi-nite sequence soliton-like exact solution

Double Elliptic Equation Expansion Approach and Novel Solutions of (2+1)-Dimensional Break Soliton Equation被引量：1: 《Communications in Theoretical Physics》2008年第2期281-286,共6页SUN Wei-Kun CAO Nan-Bin SHEN Ya-Liang; the 973 Project under Grant No.2004CB318001; In this paper, by means of double elliptic equation expansion approach, the novel double nonlinear wave solutions of the （2＋1）-dimensional break soliton equation are obtained. These double nonlinear wave solutions ...; 关键词：break soliton equation symbolic computation double elliptic equations double soliton-like solution nonlinear wave solution

Periodic Structures of Rossby Wave under Influence of Dissipation被引量：2: 《Communications in Theoretical Physics》2007年第1期35-40,共6页CHEN Zhe LI Chong-Yin FU Zun-Tao; The project supports by National Natural Science Foundation of China under Grant No. 40233033; A simple barotropic potential vorticity equation with the influence of dissipation is applied to investigate the nonlinear Rossby wave in a shear flow in the tropical atmophere. By the reduetive perturbation method, w...; 关键词：rKdV equation elliptic equation Jacobi elliptic function periodic structure rational form

Periodic Solutions to KdV-Burgers-Kuramoto Equation被引量：2: 《Communications in Theoretical Physics》2006年第5期815-818,共4页JIANG Lei CHEN Xi FU Zun-Tao LIU Shi-Kuo LIU Shi-Da; The project supported by National Natural Science Foundation of China under Grant No. 40305006; In this paper, a new special ansatz solution, where elliptic equation satisfied by elliptic functions is fallen as an intermediate transformation, is applied to solve the KdV-Burgers-Kuramoto equation, and many morene...; 关键词：elliptic equation Jacobi elliptic function Weierstrass elliptic function KdV-Burgers-Kuramoto equation

Rational Form Solitary Wave Solutions and Doubly Periodic Wave Solutions to （1＋1）-Dimensional Dispersive Long Wave Equation被引量：1: 《Communications in Theoretical Physics》2005年第6期975-982,共8页WANGQi CHENYong ZHANGHong-Qing; 国家杰出青年科学基金，中国博士后科学基金; In this work we devise an algebraic method to uniformly construct rational form solitary wave solutions and Jacobi and Weierstrass doubly periodic wave solutions of physical interest for nonlinear evolution equations....; 关键词：elliptic equation rational expansion method rational form solitary wavesolutions rational form jacobi and weierstrass doubly periodic wave solutions symboliccomputation (1+1)-dimensional dispersive long wave equation

New rational form solutions to mKdV equation被引量：3: 《Communications in Theoretical Physics》2005年第3期423-426,共4页FUZun-Tao LIUShi-Kuo LIUShi-Da; The project supported by National Natural Science Foundation of China under Grant No.40305006;;the Ministry of Science and Technology of China through Special Public Welfare Project under Grant No.2002DIB20070; In this paper, new basic functions, which are composed of three basic Jacobi elliptic functions, are chosen as components of finite expansion. This finite expansion can be taken as an ansatz and applied to solve nonli...; 关键词：elliptic equation Jacobi elliptic function periodic wave solution rational form

New Rational Form Solutions to Coupled Nonlinear Wave Equations: 《Communications in Theoretical Physics》2005年第2X期235-242,共8页FU Zun-Tao LIN Guang-Xing LIU Shi-Kuo LIU Shi-Da; 国家自然科学基金; The new rational form solutions to the elliptic equation are shown, and then these solutions to the elliptic equation are taken as a transformation and applied to solve nonlinear coupled wave equations. It is shown th...; 关键词：elliptic equation Jacobi elliptic function nonlinear coupled equations periodic wave solution rational form

Elliptic Equation and Its Direct Applications to Nonlinear Wave Equations: 《Communications in Theoretical Physics》2004年第5期675-680,共6页FUZun-Tao CHENZhe LIUShi-Da LIUShi-Kuo; 国家自然科学基金; Elliptic equation is taken as an ansatz and applied to solve nonlinear wave equations directly. More kinds of solutions are directly obtained, such as rational solutions, solitary wave solutions, periodic wave solutio...; 关键词：elliptic equation Jacobi elliptic function nonlinear equation periodic wave solution

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