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Zbl 1157.65457
Gómez S, Cesar A.; Salas, Alvaro H.
The Cole-Hopf transformation and improved tanh-coth method applied to new integrable system (KdV6). (English)
[J] Appl. Math. Comput. 204, No. 2, 957-962 (2008). ISSN 0096-3003

Summary: 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 solutions which include periodic and soliton solutions are formally derived.
MSC 2000:
*65M70 Spectral, collocation and related methods (IVP of PDE)
35Q53 KdV-like equations
37K10 Completely integrable systems etc.
35Q51 Solitons

Keywords: improved tanh-coth method; coupled equations; Cole-Hopf transformation; Mathematica; Korteweg-de Vries (KdV) equation; traveling wave solutions; soliton

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