Abstract
In this chapter, we will give a model of constructing exact solutions to nonlinear partial differential equations(NPDE) by constructing a differential ring and its derivative. We could give more and more general exact solutions to given NPDE through the enlargement of constructed differential ring. The exact solutions to given NPDE can be expressed by the base of constructed differential ring, the expression order is also can be determined by this model. It is shown that the expression order is not only related to the given NPDE, but also related to the derivative on the differential equation, i.e. the targeted equation.
| Original language | English |
|---|---|
| Title of host publication | Handbook of Solitons |
| Subtitle of host publication | Research, Technology and Applications |
| Publisher | Nova Science Publishers, Inc. |
| Pages | 441-499 |
| Number of pages | 59 |
| ISBN (Print) | 9781606925966 |
| State | Published - 1 Oct 2009 |
| Externally published | Yes |
Keywords
- Computer algebraic
- Differential polynomial ring
- Expression order
- Nonlinear partial differential equation
- Soliton
- Symbolic computation
Fingerprint
Dive into the research topics of 'Constructing exact solutions to soliton equation by computer algebraic'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver