Abstract
By casting the solitary wave problem within a variational framework, it becomes possible to find explicit first integrals, allowing for the solution of the exact amplitude of the wave by finding the roots of an algebraic system. The underlying exact membrane theory used for the tube does not impose any restrictions on the magnitude of the radial or axial displacements. It is shown that the so–called long–wave approximation is fundamentally incorrect, even for very small wave amplitudes.
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Schedule a callMore From: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
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