Degenerate, Soliton & Traveling Wave Solutions of the KdV Family of PDEs

Hits: 35
Select Volume / Issue:
Year:
2018
Type of Publication:
Article
Keywords:
Differential Equations, KdV, Korteweg de Vries, PDEs, Shallow Waves
Authors:
Steve Anglin
Journal:
IJISM
Volume:
6
Number:
1
Pages:
23-28
Month:
January
ISSN:
2347-9051
Abstract:
Korteweg–de Vries (KdV) equations are nonlinear, dispersive partial differential equations (PDEs) which typically model the fluid dynamics of waves on/over shallow water surfaces used by mechanical engineers, structural engineers, physicists as well as applied and industrial mathematicians. This article covers some practical problem-solution examples of these KdV PDEs and some variants like Burger’s KdV, K(n, n) and related equations through definitions, then corresponding examples. Most solutions below are in the form of degenerate, soliton or traveling wave solutions
Full text: IJISM_718_FINAL.pdf

About Us

Our Journals

IJECCE
International Journal of Electronics Communication and Computer Engineering
ISSN(Online): 2249 - 071X
ISSN (Print) : 2278 – 4209
www.ijecce.org
Submissions open
IJAIR
International Journal of Agriculture Innovations and Research (ISSN(Online) : 2319 – 1473)
www.ijair.org
Submissions open
IJISM
International Journal of Innovation in Science and Mathematics
ISSN : 2347 – 9051
www.ijism.org
Submissions open
IJEIR
International Journal of Engineering Innovations and Research
ISSN(Online) : 2277 – 5668
www.ijeir.org
Submissions are open.

IJAIM
International Journal of Artificial Intelligence and Mechatronics (ISSN(Online) : 2320 – 5121)
www.ijaim.org
Submissions open
IJRAS
International Journal of Research in Agricultural Sciences
www.ijras.org
Submissions open

Indexed By:

 width= width= width= width= width=