This paper studies the dynamic behaviors of some exact traveling wave solutions to the generalized Zakharov equation and the Ginzburg-Landau equation. The effects of the behaviors on the parameters of the systems are ...This paper studies the dynamic behaviors of some exact traveling wave solutions to the generalized Zakharov equation and the Ginzburg-Landau equation. The effects of the behaviors on the parameters of the systems are also studied by using a dynamical system method. Six exact explicit parametric representations of the traveling wave solutions to the two equations are given.展开更多
The Burgers equation is one of the most important prototypic models in nonlinear physics.Various exact solutions of the Burgers equation have been found by many methods.However,it is very difficult to find interactive...The Burgers equation is one of the most important prototypic models in nonlinear physics.Various exact solutions of the Burgers equation have been found by many methods.However,it is very difficult to find interactive solutions among different types of nonlinear excitations.We develop a generalized tanh function expansion approach,which can be considered as the Bäcklund transformation,to find interactive solutions between the soliton and other types of Burgers waves.展开更多
Given the increasing concerns about language and intercultural communication (IC), this paper analyzes the impact of language on IC. Both the positive and negative effects are stated.
In order to extend understanding of British culture, this paper introduces popular culture in the UK and explains its popularity through three reasons: themes of British popular culture fit taste of the masses; throug...In order to extend understanding of British culture, this paper introduces popular culture in the UK and explains its popularity through three reasons: themes of British popular culture fit taste of the masses; through the media it reaches its audiences and becomes popular; it produces business and jobs.展开更多
Symmetry reduction method is one of the best ways to find exact solutions. In this paper, we study the possibility of symmetry reductions of the well known Burgers equation including the nonlocal symmetry. The related...Symmetry reduction method is one of the best ways to find exact solutions. In this paper, we study the possibility of symmetry reductions of the well known Burgers equation including the nonlocal symmetry. The related new group invariant solutions are obtained. Especially, the interactions among solitons, Airy waves, and Kummer waves are explicitly given.展开更多
基金supported by the Natural Science Foundation of Ningbo City of China(No.2008A610029)
文摘This paper studies the dynamic behaviors of some exact traveling wave solutions to the generalized Zakharov equation and the Ginzburg-Landau equation. The effects of the behaviors on the parameters of the systems are also studied by using a dynamical system method. Six exact explicit parametric representations of the traveling wave solutions to the two equations are given.
基金Supported by the National Natural Science Foundation of China under Grant Nos 11175092,11275123 and 11205092the Scientific Research Fund of Zhejiang Provincial Education I Department under Grant No Y201017148the K.C.Wong Magna Fund in Ningbo University.
文摘The Burgers equation is one of the most important prototypic models in nonlinear physics.Various exact solutions of the Burgers equation have been found by many methods.However,it is very difficult to find interactive solutions among different types of nonlinear excitations.We develop a generalized tanh function expansion approach,which can be considered as the Bäcklund transformation,to find interactive solutions between the soliton and other types of Burgers waves.
文摘Given the increasing concerns about language and intercultural communication (IC), this paper analyzes the impact of language on IC. Both the positive and negative effects are stated.
文摘In order to extend understanding of British culture, this paper introduces popular culture in the UK and explains its popularity through three reasons: themes of British popular culture fit taste of the masses; through the media it reaches its audiences and becomes popular; it produces business and jobs.
基金Supported by the National Natural Science Foundations of China under Grant Nos. 11175092, 11275123, 11205092Scientific Research Fund of Zhejiang Provincial Education Department under Grant No. Y201017148K.C. Wong Magna Fund in Ningbo University
文摘Symmetry reduction method is one of the best ways to find exact solutions. In this paper, we study the possibility of symmetry reductions of the well known Burgers equation including the nonlocal symmetry. The related new group invariant solutions are obtained. Especially, the interactions among solitons, Airy waves, and Kummer waves are explicitly given.
