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Article Contents

# Existence of travelling-wave solutions and local well-posedness of the Fowler equation

• We study the existence of travelling-waves and local well-posedness in a subspace of $C_b^1(\R)$ for a nonlinear evolution equation recently proposed by Andrew C. Fowler to describe the dynamics of dunes. The travelling-waves we obtained however, were more bore-like than solitary-wave-like.
Mathematics Subject Classification: Primary: 47J35, 35G25; Secondary: 76B25.

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