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耗散长波方程
相关语句
  dispersive long wave equations
     Multiple Soliton like Solutions for the (2+1) dimensional Dispersive Long wave Equations
     (2+1)维耗散长波方程的类多孤波解
短句来源
     Multisoliton-like solutions for (2+1)-dimensional dispersive long wave equations and (2+1)-dimensional Broer-Kaup equations
     (2+1)维耗散长波方程与(2+1)维Broer-Kaup方程新的类多孤子解
短句来源
     In this paper, this method is generalized to (2+1) dimensional case and the multiple soliton like solutions of the (2+1) dimensional dispersive long wave equations are obtained.
     并把这种方法推广到(2+1)维非线性演化方程,获得了(2+1)维耗散长波方程的类多孤波解。
短句来源
     By extending homogeneous balance method and improving some of its procedures, we have obtained new multi\|soliton like solutions for (2+1)\|dimensional dispersive long wave equations and (2+1)\|dimensional Broer Kaup equations.
     进一步拓广齐次平衡法的应用 ,并对关键的操作步骤进行了改进 ,从而简便地求出了 (2 +1)维耗散长波方程和 (2 +1)维Broer Kaup方程新的类多孤子解 .
短句来源
  “耗散长波方程”译为未确定词的双语例句
     The Lax Representation for the Dispersive Long Wave Equation Hierarchy and the First Class Integrable System
     耗散长波方程族的Lax表示和一类可积系
短句来源
     New-type Solition-like Solution of (2+1) Dimensional Disppersing Long Wave Equation and (2+1) Dimensional Broer-kaup Equation
     (2+1)维耗散长波方程与(2+1)维Broer-Kaup方程新的类孤子解
短句来源
     The new-type soliton-like solutions of (2+1)- dimensional dispersive long wave equation and (2+1) dimensional Broer-Kaup equation are derived by using the homogeneous balance method in the third chapter.
     第三章中利用齐次平衡法给出2+1维耗散长波方程与2+1维Broer-Kaup方程的新的类孤子解。
短句来源
     The new-type solition-like solutions of the (2+1) dimensional dispersive long wave equation and the (2+1) dimensional Broer-Kaup equation are derived by using the homogeneous balance method.
     利用齐次平衡法,得到了(2+1)维耗散长波方程与(2+1)维Broer-Kaup方程新的类孤子解.
短句来源
  相似匹配句对
     Exponential attractor for dissipative generalized symmetric regularized long wave equation
     耗散广义对称正则长波方程的指数吸引子
短句来源
     DISSIPATION AND ALGEBRAIC SOLITARY LONG-WAVES EXCITED BY LOCALIZED TOPOGRAPHY
     耗散与局地地形激发的代数孤立长波(英文)
短句来源
     Explicit and Exact Solutions of the Symmetric Regularized Long Wave Equation with Dissipative Term
     具耗散项的对称正则长波方程的显式精确解
短句来源
     The Global Attractors for the Periodic Initial Value Problem for Dissipative Generalized Symmetric Regularized Long Wave Equations
     耗散的广义对称正则长波方程周期初值问题的整体吸引子
短句来源
     The Lax Representation for the Dispersive Long Wave Equation Hierarchy and the First Class Integrable System
     耗散长波方程族的Lax表示和一类可积系
短句来源
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  dispersive long wave equations
Some analytical solutions for the (2+1)-dimensional nonintegrable and integrable dispersive long wave equations
      


In the present paper, the Lax representation for the dispersive long wave equationhierarchy, and the nonlinear constraint between the potentials and eigenfunction of eigenvalue problemis studied. Therefrom, a completely integrable system is deduced. Finally, the solutions of the disper-sive long wave equation hierarchy are obtained by using the involutory represen~tion for the integrablesystem.

本文研究耗散长波方程族的Lax表示,经谱问题的位势与特征函数之间的约束导出一个Liouville完全可积系;运用可积系的对合解获得了耗散长波方程族的解。

The homogeneous balance method is a effective method of finding solitary wave solutions of nonlinear evoluiton equations. In this paper, this method is generalized to (2+1) dimensional case and the multiple soliton like solutions of the (2+1) dimensional dispersive long wave equations are obtained. Single solitary wave solutions, multi solitary wave solutions and exponential localized solitary wave solutions can be constructed from the results.

齐次平衡法给出了一种求非线性演化方程孤波解的有效方法。并把这种方法推广到(2+1)维非线性演化方程,获得了(2+1)维耗散长波方程的类多孤波解。单孤波解、多孤波解和指数局域解都可以由本文给出的结果进行构造。

By extending homogeneous balance method and improving some of its procedures, we have obtained new multi\|soliton like solutions for (2+1)\|dimensional dispersive long wave equations and (2+1)\|dimensional Broer Kaup equations. The solution we obtained presents generality, because it contain some multisoliton like solutions which are given in other papers.

进一步拓广齐次平衡法的应用 ,并对关键的操作步骤进行了改进 ,从而简便地求出了 (2 +1)维耗散长波方程和 (2 +1)维Broer Kaup方程新的类多孤子解 .这种解更具有一般性 ,它包含着已有文献给出的类多孤子解 .

 
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