Degenerate, Soliton & Traveling Wave Solutions of the KdV Family of PDEs
Journal Title: International Journal of Innovation in Science and Mathematics - Year 2018, Vol 6, Issue 1
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.
Authors and Affiliations
Steve Anglin
Keywords
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