Wronskian solutions for a nonisospectral variable-coefficient Korteweg-de Vries equation in fluids and plasmas

Yu Xin; Gao Yitian; Sun Zhiyuan; Gai Xiaoling

Chinese︱Feedback︱Save this page

• Elaborating Academic Views 　　　　 • Exchanging Innovative Ideas
• Protecting Intellectual Properties 　　• Fast Sharing Science Papers

Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China

Home > Papers

Wronskian solutions for a nonisospectral variable-coefficient Korteweg-de Vries equation in fluids and plasmas

Yu Xin 1,Gao Yitian 2 *,Sun Zhiyuan 3,Gai Xiaoling 1

1.Ministry-of-Education Key Laboratory of Fluid Mechanics andNational Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100191

2.Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100191

3.Ministry-of-Education Key Laboratory of Fluid Mechanics andNational Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100191

*Correspondence author

#Submitted by

Subject:

Funding: Specialized Research Fund for theDoctoral Program of Higher Education （No.200800130006）, National NaturalScience Foundation of China （No.60772023）

Opened online:26 April 2012

Accepted by: none

Citation: Yu Xin,Gao Yitian,Sun Zhiyuan.Wronskian solutions for a nonisospectral variable-coefficient Korteweg-de Vries equation in fluids and plasmas[OL]. [26 April 2012] http://en.paper.edu.cn/en_releasepaper/content/4475816

Korteweg-de Vries (KdV)-type equations appear in the shallow waterwaves, ion-acoustic waves in plasmas, lattice dynamics and so on. Inthis paper, the Wronskian technique is applied to investigate anonisospectral variable-coefficient KdV equation in certainnonuniform media with the relaxation effect. Multi-soliton andmulti-positon/negaton solutions for such equation are constructedand verified corresponding to the different eigenvalues of theSchrodinger spectral problem. Based on the relevant magnitude ofthe wave numbers, the solitonic interaction, such as the quasielastic interaction, coherent structure and fission/fusion, areshown graphically.

Keywords:Nonisospectral variable-coefficient Korteweg-de Vries equation in fluids and plasmas; Wronskian; Soliton; Positon; Negaton; Symbolic computation

For this paper

● PDF (0B)
● Revision 0 　　
● Print this paper
● Recommend this paper to a friend
● Add to my favorite list

Saved Papers

Please enter a name for this paper to be shown in your personalized Saved Papers list

Tags

Add yours

Related Papers

Statistics

PDF Downloaded	246
Bookmarked	0
Recommend	5
Comments	Array

Submit your papers

Alert Name:
Alerting to:
Authentication email will be sent to your email address in 24 hours
Frequency:
Email Message Format:	Plain text Graphical(HTML)

Complete the form below and we will recommend the selected titles to your friends on your behalf. * Indicates a required field.
Your name*:
Your email address*:
Recipient's name*:
Recipient's email address*:
(multiple recipient's names and email addresses should be separated with semicolons)
Your comments:	I thought you would find the page(s) useful.

Your name:
Your email address:
Recipient's name:
Recipient's email address:
(multiple recipient's names and email addresses should be separated with semicolons)
Your comments:	I thought you would find this page useful.

Disclaimer: This message was sent to your friend using the "Send it to a friend" facility on the Sciencepaper Online’ WWW site, http://www.paper.edu.cn/en. The Sciencepaper Online is not responsible for the content of this email, and anything said in this email does not necessarily reflect the Sciencepaper Online's views.

	Check out RSS, or use RSS reader to subscribe this item

Saved Papers