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Exact solutions to KdV6 equation by using a new approach of the projective Riccati equation method. (English) Zbl 1207.35255
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:
35Q53KdV-like (Korteweg-de Vries) equations
35B05Oscillation, zeros of solutions, mean value theorems, etc. (PDE)
35C08Soliton solutions of PDE
35A24Methods of ordinary differential equations for PDE
35-04Machine computation, programs (partial differential equations)