The Kawahara equation is studied through the approximate homotopy symmetry method. Under this method we get the similarity reduction solutions of the Kawahara equation, leading to the corresponding homotopy series sol...The Kawahara equation is studied through the approximate homotopy symmetry method. Under this method we get the similarity reduction solutions of the Kawahara equation, leading to the corresponding homotopy series solutions. Furthermore, the similarity solutions of the corresponding reduced linear ordinary differential equations are also considered.展开更多
While over two thousand years apart, Western postmodernism and ancient Chinese philosophy share some extraordinary similarities, especially epistemology wise. For example, they both recognize the role of language in c...While over two thousand years apart, Western postmodernism and ancient Chinese philosophy share some extraordinary similarities, especially epistemology wise. For example, they both recognize the role of language in constructing, and limiting, knowledge and reality. This is because thinkers of different cultures and geographical regions, and of different historical periods, can possibly come up with similar philosophical conclusions when addressing what is commonly known as the ＂human condition＂. The paper will discuss, in general terms, some of the philosophical similarities between postmodemism and classical Chinese philosophy; it will also take a close look at three concepts in Chinese philosophy that register strong affinity with Western postmodernism： namely, change, dialectic, and relativism.展开更多
基金Supported by the National Natural Science Foundations of China under Grant Nos.10735030,10475055,10675065,and 90503006National Basic Research Program of China (973 Program 2007CB814800)
文摘The Kawahara equation is studied through the approximate homotopy symmetry method. Under this method we get the similarity reduction solutions of the Kawahara equation, leading to the corresponding homotopy series solutions. Furthermore, the similarity solutions of the corresponding reduced linear ordinary differential equations are also considered.
文摘While over two thousand years apart, Western postmodernism and ancient Chinese philosophy share some extraordinary similarities, especially epistemology wise. For example, they both recognize the role of language in constructing, and limiting, knowledge and reality. This is because thinkers of different cultures and geographical regions, and of different historical periods, can possibly come up with similar philosophical conclusions when addressing what is commonly known as the ＂human condition＂. The paper will discuss, in general terms, some of the philosophical similarities between postmodemism and classical Chinese philosophy; it will also take a close look at three concepts in Chinese philosophy that register strong affinity with Western postmodernism： namely, change, dialectic, and relativism.
