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Zbl 1207.35255
Gómez S, Cesar A.; Salas, Alvaro H.; Frias, Bernardo Acevedo
Exact solutions to KdV6 equation by using a new approach of the projective Riccati equation method. (English)
[J] Math. Probl. Eng. 2010, Article ID 797084, 10 p. (2010). ISSN 1024-123X; ISSN 1563-5147/e

Summary: We study a new integrable KdV6 equation from the point of view of its exact solutions by using an improved computational method. A new approach to the projective Riccati equations method is implemented and used to construct traveling wave solutions for a new integrable system, which is equivalent to KdV6 equation. Periodic and soliton solutions are formally derived. Finally, some conclusions are given.

MSC 2000:: *35Q53 KdV-like equations
35B05 General behavior of solutions of PDE
35C08
35A24
35-04 Machine computation, programs (partial differential equations)

Keywords: KdV6 equation; improved computational method; projective Riccati equations; periodic and soliton solutions

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