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非线性偏微分方程: 作品数：365被引量：760H指数：13; 导出分析报告; 相关领域：理学更多>>; 相关作者：谢元喜张亚敏斯仁道尔吉苏道毕力格唐驾时更多>>; 相关机构：东南大学内蒙古工业大学西北大学宁波大学更多>>; 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内蒙古自治区自然科学基金高等学校骨干教师资助计划更多>>

Solitary Wave and Wave Front as Viewed From Curvature: 《Communications in Theoretical Physics》2004年第6X期814-816,共3页LIUShi-Kuo FUZun-Tao LIUShi-Da LIANGFu-Ming XINGuo-Jun; 国家自然科学基金，科技部专项基金; The solitary wave and wave front are two important behaviors of nonlinear evolution equations. Geometri cally, solitary wave and wave front are all plane curve. In this paper, they can be represented in terms of curva...; 关键词：曲率孤波波阵面同宿轨非线性偏微分方程

New Doubly Periodic Solutions of Nonlinear Evolution Equations via Weierstrass Elliptic Function Expansion Algorithm被引量：2: 《Communications in Theoretical Physics》2004年第5X期645-648,共4页YANZhen-Ya; A Weierstrass elliptic function expansion method and its algorithm are developed in this paper. The method changes the problem solving nonlinear evolution equations into another one solving the correspondingsystem of ...; 关键词：非线性偏微分方程维尔斯特拉斯椭圆方程双周期解符号运算

New Multiple Soliton-like Solutions to （3＋1）-Dimensional Burgers Equation with Variable Coefficients被引量：17: 《Communications in Theoretical Physics》2004年第4X期497-500,共4页CHENHuai-Tang ZHANGHong-Qing; 国家重点基础研究发展计划(973计划)，国家自然科学基金; A new generalized tanh function method is used for constructing exact travelling wave solutions of nonlinear partial differential equations in a unified way. The main idea of this method is to take full advantage of t...; 关键词：行波解类孤立子解 RICCATI方程非线性偏微分方程变量系数双曲正切函数传输波解

Abundant Multisoliton Structure of （3＋1）-Dimensional Breaking Soliton Equation: 《Communications in Theoretical Physics》2004年第4X期561-564,共4页ZHAOHong BAICheng-Lin; 国家自然科学基金，山东省自然科学基金; Using the extended homogeneous balance method, we obtained abundant exact solution structures of the (3+ 1 )-dimensional breaking soliton equation. By means of the leading order term analysis, the nonlinear transforma...; 关键词：孤立子解孤立子方程扩展均匀平衡理论非线性偏微分方程数学物理方法

A Generalized Algebraic Method for Constructing a Series of Explicit Exact Solutions of a （1＋1）-Dimensional Dispersive Long Wave Equation: 《Communications in Theoretical Physics》2004年第3X期329-334,共6页CHENYong WANGQi LIBiao; 国家杰出青年科学基金，国家自然科学基金; Making use of a new and more general ansatz, we present the generalized algebraic method to uniformlyconstruct a series of new and general travelling wave solution for nonlinear partial differential equations. As an a...; 关键词：非线性偏微分方程广义代数理论符号计算孤立波方程维尔斯特拉斯-雅克比椭圆函数

A unified Explicit Construction of 2N—Solition Solutions for Evolution Equations Determined by 2×2 AKNS System: 《Communications in Theoretical Physics》2003年第3期257-260,共4页ZHOUZhen－Jiang LIZhi－Bin; An explicit N-flod Darboux transformation for evolution equations determined by general 2×2 AKNS system is constructed.By using the Darboux transformation,the solutions of the evolution equations are reduced to solvi...; 关键词：非线性偏微分方程孤子解 AKNS系统

Exact Solutions of the （3＋1）—Dimensional KP and KdV—Type Equations被引量：4: 《Communications in Theoretical Physics》2003年第3期267-275,共9页LIDe－Sheng LUZhuo－Sheng 等; 国家重点基础研究发展计划(973计划)，国家自然科学基金; Abundant new soliton-like and period form solutions for certain (3+1)-dimensional physically important nonlinear evolution equations are obtained by using a further extended tanh method and symbolic computation system...; 关键词：非线性偏微分方程 KDV型方程严格解

A Class of Traveling Wave Solutions to Some Nonlinear Partial Differential Equations被引量：5: 《Communications in Theoretical Physics》2003年第2X期147-150,共4页BAICheng-Lin; For the Noyes-Fields equations, two-dimenslonal hyperbolic equations of conversation laww and the Burgers-KdV equation, a class of travellng wave solutions has been obtained by constructhag appropriate function transf...; 关键词：非线性偏微分方程行波解函数变换 Noyes-Fields方程二维双曲线方程 BURGERS-KDV方程

New Jacobian Elliptic Functioin Solutions of Modified KdV Equation：Ⅲ被引量：2: 《Communications in Theoretical Physics》2003年第2期144-146,共3页YANzhen－Ya; More recently,sixteen families of Jacobian elliptic function solutions of mKdV equation have been found by using our extended jacobian elliptic function expansion method.In this paper,we continue to improve our method...; 关键词：非线性偏微分方程 KDV方程椭圆函数解

Hamiltonian Formalism of the Derivative Nonlinear Schroedinger Equation: 《Communications in Theoretical Physics》2003年第2期181-185,共5页CAIHao LIUFeng－Min 等; A Particular form of poisson bracket is introduced for the derivative nonlinear nonlinear Schroedinger(DNLS) equation.And its Hamiltonian Formalism is developed by a linear combination method.Action-angle variables ar...; 关键词：非线性偏微分方程孤子解哈密顿系统

非线性偏微分方程