ANALYSIS OF THE RESULTS OF COMPUTER SIMULATION N-SOLITON SOLUTIONS OF THE KORTEWEG – DE VRIES EQUATION
Abstract
The results of computer simulation N-soliton solutions of the Korteweg – de Vries equation with N = 1, 2, 3, 4 are shown. Using numerical experiment the property of conservation of area under the envelope of soliton solutions of the Korteweg – de Vries equation is found. In addition, the dependence value of the area under the envelope of N-soliton on the value of parameter, included into a corresponding solution of the Korteweg – de Vries equation, is detected.
References
1. Плазменная гелиогеофизика : в 2 т. Т. 2 / под ред. Л.М. Зеленого, И.С. Веселовского. – М. : Физматлит, 2008. – 560 c.
2. Hirota, R. Exact solution of the Korteweg – de Vries equation for multiple collisions of solitons / R. Hirota // Phys. Rev. Lett. – 1971. – № 27. – P. 1192–1194.
3. Солитоны и нелинейные волновые уравнения / Р. Додд [и др.] ; пер. с англ. – М. : Мир, 1988. – 694 c.
4. Hirota, R. The Direct Method in Soliton Theory / R. Hirota ; ed. B. Bollobas [et al.]. – N. Y. : Cambridge University Press, 2004. – 200 p.
Review
For citations:
Novik Y.F. ANALYSIS OF THE RESULTS OF COMPUTER SIMULATION N-SOLITON SOLUTIONS OF THE KORTEWEG – DE VRIES EQUATION. Informatics. 2017;(1(53)):5-11. (In Russ.)
Views: 794
Email this article 