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Travelling wave solutions to a higher order KdV equation. (English) Zbl 0732.76012
Summary: This paper presents a direct method for the construction of travelling wave solutions to a higher order KdV equation. The method is based on a general form of solution to both the KdV equation and the fifth order KdV equation. In this approach a number of unknown constants are involved, and it is shown that the equations governing them are properly determined. The form of the solution depends on the signs of the coefficients b and c in the higher order KdV equation.

MSC:
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
35Q53 KdV equations (Korteweg-de Vries equations)
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