Smooth soliton solutions of a new integrable equation by Qiao

Details Smooth soliton solutions of a new integrable equation by Qiao Smooth soliton solutions of a new integrable equation by Qiao

2010-10-10

arxiv.org/abs/1010.1907v1

J. Math. Phys. 52 (2011) 023509 (9 pages)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages, 10 figures

Scientific paper

10.1063/1.3548837

We find a transformation which relates a new third-order integrable nonlinear
evolution equation, introduced recently by Qiao, with the well-known modified
Korteweg - de Vries equation. Then we use this transformation to derive smooth
soliton solutions of the new equation from the known rational and soliton
solutions of the old one.

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