Open AccessA practical and powerful approach to potential KdV and Benjamin equations
Author(s) -
Turgut Ak,
Sharanjeet Dhawan
Publication year - 2017
Publication title -
beni-seuf university journal of basic and applied sciences /beni-suef university journal of basic and applied sciences
Language(s) - English
Resource type - Journals
eISSN - 2314-8543
pISSN - 2314-8535
DOI - 10.1016/j.bjbas.2017.07.008
Subject(s) - korteweg–de vries equation , nonlinear system , focus (optics) , principal (computer security) , partial differential equation , mathematics , differential equation , traveling wave , mathematical analysis , physics , computer science , optics , operating system , quantum mechanics
By making use of reduced differential transform method (RDTM), we analyse two model problems: the potential KdV equation which is believed to replicate tsunami waves and the Benjamin equation which is used in the analysis of long waves in shallow water. Our principal focus is to investigated computationally the travelling wave solutions of both the equations using RDTM. These solutions are going to be extremely useful for explaining various other nonlinear phenomena arising in various dynamical systems. Keywords: Reduced differential transform method, Potential KdV equation, Benjamin equatio