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The Cole–Hopf transformation and improved tanh–coth method applied to new integrable system (KdV6)

Cesar A. Gómez S
Alvaro H. Salas
Journal / Anthology

Applied Mathematics and Computation
Year: 2008
Volume: 204
Issue: 2
Page range: 957-962

In this paper, we study a new coupled system (KdV6) from the point of view of constructing exact solutions for it by using the Cole–Hopf transformation and one improved tanh–coth method. Traveling wave solution which includes periodic and soliton solutions are formally derived.


Improved tanh–coth method, KdV equation, Sixth-order KdV equation, KdV6, Coupled equations, Cole–Hopf transformation, Mathematica